Journal Club – “Can water possibly have a memory? A sceptical view”

January 1st, 2000 by Ben Goldacre in journal club | 2 Comments »

This is part of the Homeopathy journal club described here:

www.badscience.net/?p=490

doi:10.1016/j.homp.2007.05.001    How to Cite or Link Using DOI (Opens New Window)
Copyright © 2007 Elsevier Ltd All rights reserved. Can water possibly have a memory? A sceptical view

José TeixeiraCorresponding Author Contact Information, a, E-mail The Corresponding Author
aLaboratoire Léon Brillouin (CEA/CNRS), CEA Saclay, 91191 Gif-sur-Yvette Cedex, France
Received 1 May 2007.  Available online 31 July 2007.

Homeopathic medicines are currently used in medical practice, despite controversy about their effectiveness. The preparation method is based on extremely high dilutions of many substances in water, far beyond any detectable level. For this reason, it has been suggested that water could retain a ‘memory’ of substances that have been dissolved in it before the successive dilutions. The paper stresses the fact that this idea is not compatible with our knowledge of pure water. If an explanation on physical grounds is to be found, research must focus in other aspects of the preparation, such as the presence of other molecules and dissolved gases.

Keywords: water structure; water dynamics; aggregation; metastability

Article Outline

Introduction
Pure water and homeopathic drugs
Properties of liquid water
Aqueous solutions
Conclusion
References


Introduction

Homeopathy and homeopathic medicines are widespread and well accepted by many doctors, pharmacists and patients. It is officially recognised by health authorities and agencies authorities and at a political level in many parts of the world. However, they are also criticized and attacked by others. It is not my purpose to participate actively in a complex debate that includes not only scientific aspects but also sociological and economic components. My contribution will address only the arguments relying on the properties of water and only from the physical view. Consequently, at best, it is a physicist’s view of the role played by water in homeopathic solutions.

To clarify this statement, I think that it is useful to remember that medicine is not only a science but also an art. A good doctor takes into account not only the sickness itself but also the patient, his environment and his psychological aspects. As a consequence, the prescription of a medicine fortunately includes a large part of empiricism. The goal is to restore a ‘normal’ state. One must admit that the complete knowledge of all the parameters intervening in a real situation is totally illusory and that this situation is unlikely to change in the foreseeable future. Anyway, even when the active principles and biological receptors are well known and identified, the reactions of different patients are not the same. To circumvent these inherent difficulties the performance of drugs is established via statistical analysis of large numbers of cases with a randomised double-blind methodology which implicitly recognizes the hidden role of components which escape to the normal scientific analysis of ‘exact sciences’.

Modern pharmacological research is based on a detailed knowledge of physical and chemical interactions between drugs and living cells. At the confluence of Biophysics and Chemistry, a more detailed and precise picture of those interactions is steadily emerging. Still, many traditional medications and frequently-prescribed drugs are currently used without such detailed knowledge of their action. For them, it is either difficult or useless to define the exact ‘paths’ from medicine to biology, then to chemistry and physics.

Pure water and homeopathic drugs

Many traditional drugs, as for example those extracted from plants, are extensively used in medicine. In some cases one or more active principles have been identified but even in such cases the exact action is usually not well understood at the level of chemical reactions or physical interactions taking place within living organisms. This situation is very common but has never been a limitation to prescribing drugs that have shown their effectiveness through many years of practical use. Certainly, in other cases, the interactions are known in great detail leading to the synthesis of well-defined drugs with specific and well controlled applications. But we remain far from a comprehensive and detailed knowledge of the action of drugs on living organisms.

Homeopathic drugs fall, at least partially, into the first category. Their use has been validated by real or supposed successes, the frontier of the two being probably irrelevant from the point of view of the patient. But there is an essential difference between traditional or ‘natural’ medicine and homeopathy. The latter is much more recent and based in a quasi philosophical concept (similia similibus curentur) stated by Hahnemann, perhaps by analogy with the contemporary first studies of immunization. With modern science, it should, in due course, be possible to understand the mechanisms of action of natural substances and of homeopathic drugs. For natural substances the search for the active principles has been successful in some cases; in others, it has been simply assumed that they are present but the level of interest of the drug or available resources has not justified further studies.

With homeopathic drugs the situation is very different. Their method of preparation is based essentially on two steps: sequential dilution with ‘succussion’ or ‘dynamisation’ (vigorous turbulent shaking). A molecular view of the matter and a trivial calculation demonstrates that, often it is extremely improbable that even one molecule of the compound present in the original solution persists in a vial of the final medicine. The role of succussion is not obvious, even less the diverse standards of methods of preparation.

Under the pressure of criticism, the natural evolution of researchers interested in finding acceptable scientific justifications of homeopathy has been to go from purely medical concepts of effective therapy to chemistry and finally to fundamental physics. Ultimately, schematically, the answer: if there is ‘only’ water in homeopathic medicines, then the explanation of the therapeutic action must be in pure water, itself!

This intellectual evolution is a paradox. While for many drugs, the action is known at a biological, sometimes at a chemical, but almost never at a physical level (that of the structure and energies defined with atomic resolution); for homeopathy, the discussion jumped directly into this microscopic sub-molecular physics world. The mixture of the precise methodology characterizing research in physics and procedures deriving from pharmacology in research in homeopathy is striking. For example, several measurements of physical properties of diluted solutions have been done double-blinded. An extreme and provocative hypothesis is that water can retain a ‘memory’ of substances previously dissolved in it.1

A critical analysis of several publications shows that several issues remain open to question. Schematically, one can distinguish the following:

(1) How different from pure water are highly diluted solutions? In other words, is the simple calculation of the number of molecules of the ‘active principle’ per unit volume of the solution sufficient to account for the composition of homeopathic medicines?

(2) If succussion is an essential step in the preparation of homeopathic medicines, what is exactly its role? How does it influence the dilution procedure?

(3) What is the behaviour of complex molecules (eg biopolymers, organic compounds, surfactants, etc.) during the dilution process?

A clear answer to these (and perhaps other) questions is a necessary and essential precondition to any study of ‘pure’ water. Indeed, the conditions of preparation and conservation of homeopathic medicines are far from respecting the simplest procedures required in physical studies of pure water.

Some issues should be controlled more systematically:

(1) Pure water is a very powerful solvent of many substances. For example, it dissolves and forms specific bonds with silica. In contact with the surface of quartz, water forms stable silanol groups (Si–O–H). With time, silica molecules and silicon atoms are solubilised and hydrated. The number of these ‘impurities’ is huge as compared with the calculated amount of molecules of the starting substance in most homeopathic medicines.

It may be useful to recall that the interaction of water with solid surfaces is so strong that studies of nucleation must be done with minute amounts of water kept in levitation, without any contact with solid surfaces. The interaction with solid surfaces is so important that if a supercooled liquid freezes, it must be heated up to temperatures higher than the melting point in order to be supercooled again. Less important for water than for other liquids (eg gallium), this effect is due to more favourable nucleation of the solid form at the solid surface.

Another point deserving investigation is the storage of homeopathic solutions over long periods of time. This procedure is totally incompatible with a chemical purity of water, even at a modest level.

(2) The main consequence of succussion is the insertion of substantial amounts of air from the environment where the procedure takes place. In a laboratory that is not a cleanroom (such as those used for example in electronics), the procedure brings into the solution not only the gases present in the atmosphere (oxygen, nitrogen, argon,…) but also dust particles, micro-droplets of water, etc. Recent studies2 show that the properties of solutions are drastically modified when succussion is done under different atmospheres or at different pressures, a fact which should encourage further studies in this direction.

(3) Many substances, which contain pharmacologically active principles, are not soluble in water. Some are previously diluted in alcohol suggesting the presence of surfactant molecules that go spontaneously to interfaces such as the free surface, the interface between the solution and micro-droplets of gases and the interface with the vial. Again, several very promising and striking studies performed by the analysis of the thermoluminescence of frozen solutions open new and exciting perspectives.3

To summarize, it is striking that in publications concerning highly diluted solutions, chemical ‘purity’ is assumed, solely on the basis of a calculation based on the dilution procedure itself. In fact most of the samples studied are far from being ‘pure water’. It would be interesting to perform to a real analysis of the composition of the solutions with physical methods such as mass spectroscopy.

Properties of liquid water

As stated above, many experiments with homeopathic medicines assume the purity of the highly diluted solutions and attribute its therapeutic action to modifications of the structure and dynamics of the pure liquid itself due to the past presence of a solute.1 Such a strong hypothesis would imply not only general or random changes but also a large variety of changes, specific to each solute. The main purpose of this paper is to recall that this hypothesis is totally incompatible with our present knowledge of liquid water.

Water, in all its forms (crystal, liquid, gas and amorphous forms) is certainly the most studied of all substances. All its properties have been measured with extremely high accuracy in very different conditions, including metastable states and ‘extreme’ conditions. This is due to the central role of water in many scientific domains in physics, chemistry, geophysics and, of course, biophysics. Essentially all known experimental techniques and computer simulations have been used to precise details of the behaviour of water at scales extending from hydrodynamics to the nuclear and electronic levels. In other words, water is not an unknown substance!

However, do we know ‘everything’ about water? Certainly not: several puzzling questions are open to discussion. In brief, the main open question about pure water concerns the supercooled (metastable) state (ie liquid water at temperatures below its freezing point) and its relation with different amorphous (glassy) states. The structure of liquid water, at atmospheric pressure, is not known in a large temperature range extending from the vicinity of the temperature of homogeneous nucleation of ice (−42 °C) down to the temperature of the glass transition (−140 °C). This problem is the object of debate and speculation mostly based in extrapolations of simulations of molecular dynamics performed by computer.[4] and [5]

Another important domain of research is ‘confined water’, ie water occupying extremely small volumes, for example, in porous materials, in thin layers or in small pools formed at hydrophobic sites of bio-molecules. In this case, there is a large variety of situations that depend essentially on the nature of the substrate and on the relative importance of the number of molecules at the surface and in the bulk of the small volume. However, pure water at ambient conditions is well understood. Let us review some of its main properties that may be related to the subject of this paper.

Water is a simple molecule containing three atoms: one of oxygen and two of hydrogen strongly bound by covalent bonds. Because of the hybridisation of the molecular orbitals, the shape of the molecule is a V with the oxygen occupying the vertex of an angle of 104°; the O–H distance is almost exactly 0.1 nm. When two water molecules are sufficiently close, they orient one against the other to establish a chemical bond, called hydrogen bond. In this bond, one hydrogen atom is shared by two neighbouring molecules (Figure 1). The bonding energy is about 10 times larger than the kinetic energy but the bond is ‘fragile’ due the vibratory motions of the hydrogen atom particularly in the direction perpendicular to the line O–Hcdots, three dots, centeredO. It is possible to measure accurately the typical time for which the three atoms are aligned (the lifetime of hydrogen bonds): it is of the order of 0.9 ps (9×10−13 s) at room temperature.


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Figure 1. Schematic representation of a hydrogen bond in water. The large circles represent two oxygen atoms of neighbouring molecules; the small circle is the hydrogen atom attached to the oxygen on the left hand side by a covalent bond. The length of the hydrogen bond is 0.18 nm.The hydrogen atom vibrates in all directions. Vibrations perpendicular to the bond are most likely to break the bond.

Because of its geometry, a water molecule can easily form four hydrogen bonds with four neighbouring molecules. This corresponds to the structural arrangement in common ice (Ih or hexagonal form). The angle of 104° is sufficiently close to the tetrahedral angle (109°) to impose this very open structure where each molecule is surrounded by four others at the apex of a tetrahedron (Figure 2). In liquid water this local geometry exists partly: on average a water molecule has 4.5 neighbours but this number decreases with decreasing temperature because the average number of ‘intact’ bonds increases. Incidentally, it is this decrease of the number of first neighbours that explains why the density of water decreases at low temperatures. At 4 °C, which is the temperature of maximum density, this effect compensates that of thermal expansion.


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Figure 2. Tetrahedral arrangement of five water molecules. The vibrational motion of a hydrogen atom is represented by an arc on the right-hand side of the figure (adapted from G Walrafen).

The average number of ‘intact’ bonds at a given moment is relatively high, although lower than in alcohols, for example. It is of the order of 60% which justifies seeing liquid water as a 3-dimensional network of hydrogen bonds, like a gel. But a gel with a life time of 1 picosecond (ps)! This means that in an ‘instantaneous picture’ of water structure (possible to obtain by computer simulations) one can identify local structures such as rings of 5, 6 or 7 molecules, regions with higher density of bonds than others, etc. All these structural properties can be identified by several techniques and correspond to thermodynamic properties. For example, the increase of isothermal compressibility observed at low temperatures is due to the enhancement of density fluctuations. It is very important to note that such fluctuations are not due to aggregation or formation of clusters. Hydrogen bonds form and break very rapidly generating short lived fluctuations of local density. In other words, even if at a given moment one can identify a region of higher density than the average, it will disappear after a very short time and will appear statistically in another place without any form of coherent motion such as would exist if a cluster was diffusing inside the liquid.

Historically, the first models of liquid water (due to WC Roentgen) represented liquid water as a mixture of an ideal liquid and small ice-like clusters. This model has been ruled out by many experiments. Among them, small angle X-ray scattering eliminates unambiguously any possibility of existence of clusters or aggregates in liquid water, even at very low temperatures.[6] and [7]

Isolated or confined water molecules can have their mobility totally restricted. In such cases, the lifetime of a hydrogen bond can be infinite. This situation is frequent in proteins where hydrogen bonds with water can play a central role in protein structure. But, in these situations, water molecules don’t constitute a liquid. Consequently, it is worth emphasizing that to postulate the existence of stable structures in pure water is totally wrong. This is one of the limits imposed by the knowledge of the structure of water.

Aqueous solutions

In aqueous solutions, the situation is more diverse. Water can dissolve and mix with many substances in different proportions (salts, acids, various alcohols, sugars, and gases, etc). Both local structure and dynamic properties may be drastically modified. Two well known examples give an idea of the diversity of situations. Trehalose is a sugar that promotes the formation of glassy water even when extremely dilute. It is present in animals and plants which, because of this property, can survive very low temperatures. Other examples are aerogels of silica with a huge content of water, which can contain more than 95% water while remaining macroscopically solid.

Generally speaking, the inclusion of molecules or ions destroys local tetrahedral geometry. Depending on the nature of the compound, the molecules of water arrange in a large variety of local structures. For example, when a salt is dissolved in water, it is dissociated into two ions each of which is surrounded by a layer of hydration where the strong electrostatic interactions between the charge of the ion and the dipoles of water generate a mini-cluster (Figure 3). The life time of this cluster is 10 to 100 times longer than the lifetime of hydrogen bonds but is not infinite, because of the exchange between molecules of water in the hydration shell and those of the bulk.


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Figure 3. Schematic representation of the arrangement around an anion (left) and a cation (right). In the first case the dipolar moment of the water molecules is directed towards the ion; in the opposite direction in the case of the anion. The screening of the electrical field of the ions is very efficient and the structure of water beyond the first hydration layer is almost not modified.

However, it is erroneous to believe that the electrical field generated by the ions extends over large distances. Actually, it is screened by the hydration layer. There is a large literature about the structure in hydration shells. The number of water molecules, distances and angles are known with great accuracy from neutron scattering experiments based on isotopic substitution.8

A very different situation concerns the solubility of hydrophobic atoms and molecules, such as methane or noble gases. In this case, water has tendency to form clathrate-like structures around the solute. A clathrate is a polyhedral structure; frequently a dodecahedron with pentagonal faces. This is a very stable structure, because the internal angle of the pentagon (104°) is equal to the internal angle, HOH, of the molecule. It forms a cage and the prisoner is the hydrophobic solute. The short lifetime of hydrogen bonds does not allow the formation of stable or long-lived clusters. Experiments simply detect, at best, a tendency to the formation of short lived planar pentagons.

Finally, it is interesting to consider situations in which stable aggregates are formed. The most interesting, including many industrial applications, are surfactants, which are molecules with a hydrophilic head (sometimes polar) and one or two hydrophobic tails. When dissolved in water in sufficiently large amount (above a critical micellar concentration, c.m.c.) they form structured clusters called micelles (Figure 4). The heads are at the external surface and the hydrophobic tails minimise the interaction energy with water inside the sphere. These structures are very stable. They persist essentially for ever, even if there are many exchanges of surfactant molecules between micelles, either by diffusion or as a result of collisions. Many structures of this type are known, of different sizes and shapes. Some are very important in biology or in pharmacy. For example, bi-layers of phospholipids mimic quite well some physical properties of biologic membranes, and vesicles are sometimes used as vectors or carriers of drugs.


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Figure 4. Spherical micellar aggregate showing the hydrophilic heads in contacts with the surrounding water or aqueous solvent. The hydrophobic tails fill the internal part of the spherical droplet.

In small quantities, surfactant molecules migrate to interfaces in geometries that minimise the interaction between the tails and water. Even at very low concentration they can modify substantially the surface tension of water. Whenever surfactant molecules are present in a substance, one must take into account their specific interactions with water.

Conclusion

To summarize this short overview, one can say that water is a ‘complex’ liquid with many fascinating, sometimes unique aspects. Except for some academic aspects concerning supercooled water, the structure of the liquid is well known. In particular, it is certain that:

(a) There are no water clusters in pure liquid water, but only density fluctuations.

(b) The longest life of any structure observed in liquid water is of the order of 1 ps (10−12 s).

This is why any interpretation calling for ‘memory’ effects in pure water must be totally excluded.

In contrast, there is great variety of behaviour of solutes depending on many parameters. Even in small quantities, some solutes can modify substantially some properties of pure water. Special attention should be given to surfactants, sugars and polymeric substances. Since homeopathic medicines are prepared in ‘extremely high dilutions’ but following a procedure that does not produce necessarily extremely pure water, experiments should address the problem of the presence of minute amounts of solutes as has recently been done recently, with striking results.2

Otherwise, as stressed at the beginning, the advantages of homeopathic treatments should be taken at a medical level, which, after all, is the case for other drugs recognized for their remarkable although not yet explained effectiveness.

References

1 E. Davenas, F. Beauvais and J. Amara et al., Human basophil degranulation triggered by very dilute antiserum against IgE, Nature 333 (1988), pp. 816–818. Full Text via CrossRef | View Record in Scopus | Cited By in Scopus

[2] L. Rey, Can low temperature Thermoluminescence cast light on the nature of ultra-high dilutions?, Homp 96 (2007), pp. 170–174. SummaryPlus | Full Text + Links | PDF (267 K)

3 L. Rey, Thermoluminescence of ultra-high dilutions of lithium chloride and sodium chloride, Physica A 323 (2003), pp. 67–74. SummaryPlus | Full Text + Links | PDF (306 K) | View Record in Scopus | Cited By in Scopus

4 O. Mishima and H.E. Stanley, The relationship between liquid, supercooled and glassy water, Nature 396 (1998), pp. 329–335. View Record in Scopus | Cited By in Scopus

5 J. Teixeira, A. Luzar and S. Longeville, Dynamics of hydrogen bonds: how to probe their role in the unusual properties of liquid water, J. Phys.: Cond. Matter 18 (2006), pp. S2353–S2362. Full Text via CrossRef

6 R.W. Hendricks, P.G. Mardon and L.B. Schaffer, X-ray zero-angle scattering cross section of water, J. Chem. Phys. 61 (1974), pp. 319–322. Full Text via CrossRef

7 L. Bosio, J. Teixeira and H.E. Stanley, Enhanced density fluctuations in supercooled H2O, D2O and ethanol–water solutions: evidence from small-angle X-ray scattering, Phys Rev Lett 46 (1981), pp. 597–600. Full Text via CrossRef

8 L. Friedman H, A Course in Statistical Mechanics, Prentice Hall College Div. (1985).

Corresponding Author Contact InformationCorrespondence: Laboratoire Léon Brillouin (CEA/CNRS), CEA Saclay, 91191 Gif-sur-Yvette Cedex, France.



Homeopathy
Volume 96, Issue 3, July 2007, Pages 158-162
The Memory of Water

Journal Club – “The ‘Memory of Water’: an almost deciphered enigma. Dissipative structures in extremely dilute aqueous solutions”

January 1st, 2000 by Ben Goldacre in journal club | 5 Comments »

This is part of the Homeopathy journal club described here:

www.badscience.net/?p=490

doi:10.1016/j.homp.2007.05.007    How to Cite or Link Using DOI (Opens New Window)
Copyright © 2007 Elsevier Ltd All rights reserved. The ‘Memory of Water’: an almost deciphered enigma. Dissipative structures in extremely dilute aqueous solutions

V. Elia1, Corresponding Author Contact Information, E-mail The Corresponding Author, E. Napoli1 and R. Germano2
1Dipto. di Chimica, Università ‘Federico II’ di Napoli, Complesso Universitario di Monte S.Angelo, via Cintia, 80126 Napoli, Italy;
2PROMETE Srl – INFM Spin off Company, Via Buongiovanni 49, San Giorgio a Cremano, 80046 Napoli, Italy
Received 2 April 2007;  revised 22 May 2007;  accepted 29 May 2007.  Available online 31 July 2007.

In the last decade, we have investigated from the physicochemical point of view, whether water prepared by the procedures of homeopathic medicine (leading inexorably to systems without any molecule different from the solvent) results in water different from the initial water?

The answer, unexpectedly, but strongly supported by many experimental results is positive. We used well-established physicochemical techniques: flux calorimetry, conductometry, pHmetry and galvanic cell electrodes potential. Unexpectedly the physicochemical parameters evolve in time.

The water solvent exhibits large changes in measurable physicochemical properties as a function of its history, the solute previously dissolved, and time. In particular we found evidence of two new phenomena, both totally unpredicted, in homeopathic dilutions: the presence of a maximum in the measured physicochemical parameters vs sample age, and their dependence on the volume in which the dilution is stored. These new experimental results strongly suggest the presence of an extended and ‘ordered’ dynamics involving liquid water molecules.

Keywords: homeopathy; calorimetry; conductivity; pH; dissipative structures

Article Outline

Introduction
Methods
Ageing effects
Conclusion
References


Introduction

The ‘Memory of Water’ is a journalistic expression, first used in the French newspaper Le Monde, after the publication in 1988 of Jacques Benveniste’s famous paper in the international scientific journal Nature.1 In this paper he claimed, with biological experimental data, that ‘homeopathic dilutions’ of substances (ie so much diluted as to not contain any molecules of the substance initially diluted in it) are able to induce biological effects typical of the substance initially dissolved in it. The ‘memory of water’ is a synthesis of a still unexplained phenomenon. Recent scientific publications suggest some possible ways to experimentally validate the reality of a whole new class of physicochemical new phenomena concerning liquid water.2

It seems that it really is possible to obtain physicochemical information depending on the recent or remote ‘history’ of a water sample (in Prigogine’s terminology: breaking of the temporal symmetry), almost as in the better known case of magnetic materials (Prigogine would say: breaking of the spatial symmetry).3 The so-called memory of water, is connected to the capacity of this kind of solvent, a multi-variable complex system, to be influenced by very tiny perturbations, such as mechanical or electromagnetic actions, in such a way to move away from the initial equilibrium conditions, and this is increasingly established. The ‘memory of water’, in this sense, is comprehensible in the framework of the theory of Irreversible Processes Thermodynamics due to the Nobel Laureate for Chemistry (1977), Ilya Prigogine.3

In the last 10 years,[4], [5], [6], [7], [8], [9], [10], [11], [12] and [13] our research group has investigated this problem from the point of view of the physicochemical properties of water when prepared following the procedures of homeopathic medicine preparation: iterative dilutions (of specific solutes of medical interest) followed by agitation (succussion). This method leads inexorably to systems without any molecule different from the solvent, in our case pure water.

Can the ‘new water’ thus obtained really be ‘different’ from the initial one? Answering this question was our challenge. The answer, unexpected but strongly supported by the experimental results, is affirmative. In the meantime, other research groups came to similar conclusions using different experimental models and other methodologies.[14], [15], [16], [17], [18], [19] and [20] We also want to note here Giorgio Piccardi, the founder of the Italian physical-chemistry, and his pioneering work concerning fluctuating chemical reactions.[21], [22], [23] and [24] A critical mass of experimental data2 necessary to evidence a new class of physicochemical phenomena of the water has now been reached.

Methods

The experimental methodologies used for our investigations were chosen as the most efficient among the many tested. We list them, without entering into the technical details, but emphasising that they are well-established physicochemical methodologies: flux calorimetry, conductometry, pHmetry and galvanic cell electrode potential. The greatest difficulty of the preliminary work, which lasted for many years, was the selection of the most enlightening experimental methodologies and the establishment of optimal experimental conditions. It was also difficult to evaluate the contribution of the impurities released by the glassware, to the measured experimental values. In fact, the problem of impurities has been the principal objection probably due to the strong prejudice against the possibility that the procedures followed might really change the physicochemical nature of water.

Figure 1, Figure 2 and Figure 3 show that the presence of impurities released by the glassware makes a significant contribution to the physicochemical state of the dilutions, but it is not relevant in comparison with the unexpected contribution (much higher than the range of the experimental errors) of the auto-organisation process of the water molecules-the water is far from the thermodynamic equilibrium (see below) –and this auto-organization is triggered by external perturbations (such as iterative dilution and succussion).


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Figure 1. Heat of mixing, Qmix, vs concentration (determined by analytic methods) of impurities, Mtot, released by the glass vessels. Black symbols: heat of mixing of homeopathic solutions with sodium hydroxide, NaOH, 0.01 M (mol kg−1); red line: heat of mixing of aqueous solutions containing the same amount of impurities determined in the homeopathic solutions. The absolute values of the heat of mixing with sodium hydroxide using homeopathic solutions are always higher than the corresponding heat of mixing determined only by the ‘chemical’ contribution originating from the glassware.


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Figure 2. Specific conductivity, χ, vs concentration (determined by analytic methods) of impurities, MNa+, released by the glass vessels. Black symbols: specific conductivity of the homeopathic dilutions; red line: specific conductivity of aqueous solution containing only the same amount of impurities determined in the homeopathic solutions.


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Figure 3. pH values vs concentration of impurities MT (determined by analytic methods), released by the glassware. Circle symbols: pH of homeopathic dilutions; triangle symbols: pH of aqueous solution containing the same amount of impurities determined by analytic methods in the homeopathic solutions.

Figure 1, Figure 2 and Figure 3 show: (i) how the contributions of impurity were taken into account; (ii) the major contribution of ‘something’ different from any possible substance of chemical origin. This is a preliminary result but it cleared misunderstandings from the experimental methodologies and allowed us to proceed to collect further information and insights on the nature of the ‘homeopathic dilutions’.[4], [5], [6], [7], [8], [9], [10], [11], [12] and [13]

It is important to emphasise that, from the studies so far conducted, we cannot derive reproducible information concerning the influence of the different degrees of homeopathic dilution or the nature of the active principle (solute) on the measured physicochemical parameters. For this reason the experimental data reported in the figures are not given in terms of homeopathic dilutions or name of homeopathic medicine.

Ageing effects

A stimulating, and somewhat serendipitous, result very important in understanding the complex system under study, was that the physicochemical properties of the homeopathic solutions depend on time. The fact that the numerous experiences were performed over many years, naturally introduced the time parameter. The analysis of the experimental results vs the ‘arrow of time’ was of unexpected relevance,[7], [8], [9] and [10] and led to the idea that the system under observation (homeopathic solution) is a closed system (able to exchange only energy with the external environment), far from thermodynamic equilibrium, which allows structures with a local order higher than the water around them to emerge from chaos (‘dissipative structures’).

Figure 4 and Figure 5 show that, unexpectedly, the investigated physicochemical parameter increases with time. In other words, ageing modifies the physicochemical nature of homeopathic solutions.


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Figure 4. Heat of mixing, Qmix, vs the samples age, t, for six homeopathic solutions.


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Figure 5. Excess specific conductivity, χE (μS cm−1) (defined as the experimental difference between the experimental χ value and the contribution to this parameter by the presence of impurities (χchem) vs the samples age, t, for six homeopathic solutions. Each studied sample has its own peculiar χE vs time evolution but with overall similar behaviour: an increment of χE in time.

What is the interpretation of this newly-observed characteristic of the homeopathic solutions? Are we simply observing a system seeking an energetic minimum and a new equilibrium in a slow kinetic process or this is something totally different? From the data in Figure 4 and Figure 5 we deduce that the temporal variations of the reported parameters are very slow, because it takes many months to evidence them unambiguously. However, this temporal behaviour does not match the idea of a simple slow kinetic. In fact, following the reductio ad absurdum, if there exists an energetic minimum towards which the system could move, it would be impossible that in the time that water has existed, it has not reached this hypothetical minimum. Moreover for both parameters (specific conductivity and heat of mixing with alkaline solutions) an increase with time is observed. The correlation between the specific conductivity and the heat of mixing with alkaline solutions, shown in Figure 6 is linear; in other words, these two parameters have the same underlying cause. This result provoked us to investigate the nature of the mechanism able to increase simultaneously the electrical conductivity and the heat of mixing with alkaline solutions, after repeated dilutions and succussions. The descriptive model proposed below, although simple, is in agreement with the experimentally observed ageing effect.


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Figure 6. Specific conductivity, χ, vs excess heat of mixing, QmixE (the difference between the experimental Qmix value and the contribution to this parameter due to the presence of impurities), for a given volume of homeopathic solution.

An explanation of the electrical conductivity increasing after the preparation procedure and ageing may be based on the so-called ‘hopping mechanism’, proposed by C.J.T. Grotthuss (1806)25 to explain the much higher mobility (about 5 times) of H+ and OH ions (always present in liquid water) in comparison with other ions of comparable ionic radius. If H2O molecular clusters are present in the solution, bonded by hydrogen bonds, the hydrogen ions H+ colliding them experience the ‘hopping’ phenomenon (Figure 7): the water molecules catch an H+ ion at one end of the cluster (for the sake of simplicity considered linear) and release instantaneously another H+ ion at the other end of the cluster. The drift velocity under an electrical potential gradient (a measure of the conductivity) is much increased in comparison with that of ions which do not encounter H2O molecular clusters. The greater the number of the clusters and/or their length, the higher the conductivity value. The correlation between the electrical conductivity and the heat of mixing with alkaline solutions is a consequence of H2O clusters breaking, due to the pH variation (see Figure 8).


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Figure 7. Schematic representation of the Grotthuss hypothesis of the proton (H+) hopping mechanism to explain the much higher mobility (defined as the ionic drift velocity under a unitary gradient of electrical potential V cm−1) of H+ and OH ions in water (H2O=H++OH) in comparison with other ions of comparable ionic radius.


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Figure 8. Schematic representation of the phenomenon of molecular clusters breaking, due to pH variation during the experimental procedure of determining the heat of mixing with hydroxide solutions (NaOH) 0.01 M (mol kg−1 ) in a calorimetric cell. The experimental procedure consists of mixing a homeopathic dilution (that we suppose richer in H2O molecular clusters than the ‘standard’ water solvent) with an alkaline solution. The pH variation seems to reflect breaking of hydrogen-bonded H2O clusters, determining a transition order→disorder. This is experimentally evidenced by the increased heat of mixing compared to ‘normal’ water containing few molecular clusters.

The greater the number of the clusters and the larger their dimensions, the more is the measured thermal effect (Figure 8). These two experimental phenomena witness the same thing, both are sensitive to the number and/or dimensions of the clusters.

Let us return to the question: Are we measuring the presence of stable clusters seeking an energetic minimum? Or of unstable clusters consisting of dissipative auto-organised structures that are far from equilibrium and which remain or move away from equilibrium as a function of their ability to exchange energy with the external environment? We have already emphasised that the hypothesis of systems slowly evolving towards new equilibrium states is not compatible with our experimental findings. In particular, the hypothesis of systems evolving towards a minimum, even very slowly, contrasts with two new and very unexpected experimental phenomena characterising homeopathic dilutions:

(a) the presence of a maximum in the physicochemical parameters with sample age (Figure 9);


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Figure 9. Specific excess conductivity, χE, vs the samples ageing, t. Each curve describes the temporal evolution of Arnica Montana (AM) samples in homeopathic dilutions prepared from the same mother tincture. There is no specific correlation between the χE behaviour and the degree of dilution (CH) of the samples.

(b) the dependence of the physicochemical parameters (apart from age) also on the volume in which the homeopathic dilution is stored (Figure 10).


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Figure 10. Excess specific conductivity, χE, vs ageing volume, V. Each point represents the value of χE for each single dilution, experimentally determined at the same age. There is a very strong variation of the parameter, about one order of magnitude, for the systems aged in very small volumes. This volume dependence cannot be explained in the frame of the classical physico-chemistry.

Phenomenon (b) is absolutely anomalous and inexplicable in the current paradigm,13 it appears to be in sharp contradiction with the classical concept that an intensive physical quantity cannot depend on the volume.

The temporal evolution of the excess specific conductivity of four sample systems is shown in Figure 11. The samples were obtained as follows: a highly diluted aqueous system was divided into three smaller volumes at a certain ‘age’. As the figure shows, the excess specific conductivity (χE) behaviour across time of small volume samples is very different from that of larger volume samples. The larger volume sample does not display relevant modifications across time, while each new system of smaller volume evolves in a different way, with an overall common behaviour characterised by the presence of a maximum. This means that the evolution over time depends on the initial state (in this case: large or small volume), in a sense the systems have a ‘memory’ of the initial conditions.


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Figure 11. Excess specific conductivity, χE, vs sample age, t. In this experiment, a homeopathic dilution of Arnica Montana was left to age for about 250 days in a volume of about 200 ml. At this time point 18 ml were removed and divided into three different vessels of equal shape, containing 10, 5 and 3 ml. The four obtained samples, 182, 10, 5 and 3 ml, were studied vs time. Their temporal evolution was dramatically influenced by the perturbation induced by the repartition into smaller volumes. In particular the higher volume of 182 ml did not experience particular temporal variations, while in the case of the smaller volumes, a large temporal evolution was observed, depending strongly on the starting point.

Another example of such ‘memory’ of the system is apparent in the experimental data displayed in Figure 12, which shows the temporal evolution of the excess specific conductivity for samples made from the same mother tincture diluted in double distilled water without succussion, in different dilution ratios.12 Again, the system’s evolution in time is strongly conditioned by the initial conditions, with temporal variations characterised by very different maximum and slope values: past history influences the evolution of the ‘pure water’ system.


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Figure 12. Excess specific conductivity, χE, vs age, t, of samples obtained by a simple dilution of the ‘mother tincture’ with double distilled water without succussion, in different dilution ratios (r). The volumes of the studied solutions were the same. The temporal evolution of the various systems, perturbed only by the simple dilution without succussion, is strongly dependent by the new starting state. In particular, the system with dilution 1:1, r=0.5 (final volume is twice the initial one) exhibits an initial χE value markedly lower than the solution from which it was obtained, then, in about 45 days, exhibiting χE values much higher with respect to the ‘mother tincture’, reaching a sharp maximum. In this case, the applied perturbation, determines a strongly different starting point, as well as different temporal evolution.

The apparent contradiction between the concept of intensive quantity, such as specific conductivity and heat of mixing, and the experimental evidence of dependence on volume may be solved by considering that, within the solutions there are molecular clusters consisting of water molecules connected by hydrogen-bonds, in far from equilibrium conditions. They can remain in, or move away, from their unstable equilibrium state, dissipating energy derived from the external environment: they are ‘dissipative structures’ as described by Prigogine.3

The spontaneous formation of molecular clusters in water is foreseen by the Coherent Quantum Electrodynamics (Coherent QED) without introducing the existence of hydrogen-bonds. This theoretical formulation, due to G. Preparata, E. Del Giudice, et al predicts the physicochemical properties of the water,[2], [26], [27], [28] and [29] much better than other theories. The introduction of the ‘arrow of time’ into this theoretical framework should yield very interesting results.

Conclusion

We propose a simplified empirical model that in principle seems able to explain the unexpected dependence of the physicochemical parameters on the volumes used.

A first hypothesis to explain the experimental results is to suppose that the solutions, after strong agitation (succussion), enter a far from equilibrium state, remaining there or getting even farther by dissipating energy in the form and amount necessary to stay in the far from equilibrium state. Then, assuming that radiant energy is exchanged, we can further suppose that, for a given flux of dissipated energy (W cm−2), the same number of dissipative structures would be formed, even if contained in different volumes. In this frame, on average, at any given age, small volumes of water will contain a higher ‘concentration’ of dissipative structures in comparison with larger volumes (Figure 13). The physicochemical parameters electrical conductivity and heat of mixing are in fact functions of the number, size and shape of the dissipative structures.


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Figure 13. Schematic representation of a possible temporal evolution of a homeopathic solution, showing a variation of intensive quantities such as χE (μS cm−1) and QEmix (J kg−1) vs the storage volume. At the time zero, the two vessels, of equal shape and volume, contain two identical homeopathic dilutions (same age, same active principle, same CH dilution) with no experimentally measurable effects determined by dissipative structures, because of their small number (Figure 13a). Assuming the same formation efficiency (and/or increase in size) for the dissipative structures in the two systems (small volume and large volume), with the same conditions of energetic flux, the number and/or size of the dissipative structures is almost the same in the two containers, at any given time (Figure 13b and c). So, when dissipative structures are numerically increasing, their concentration is much higher in the small volume than in the large one. Consequently, intensive quantities such as those measured, χE (μS cm−1) and QEmix (J kg−1), sensitive to the structure concentration, will show a temporal behaviour dependent on the volume.

We conclude the following:

• the parameters whose values results ‘in excess’ (in general: variable with the history of the solvent in time) are correlated with the dynamics of supermolecular (mesoscopic) structures in the water solvent;

• the temporal evolution of the parameters is not connected to the tendency to seek an energetic minimum;

• an empirical interpretation, consistent with all current experimental data, is based on the presence of dissipative structures.

Succussion may be the trigger for the spontaneous formation of dissipative structures, that is the emergence of new dynamics. The temporal evolution may be connected to the variation of the number, dimension or the shape of the dissipative structures. It is well known, in Thermodynamics of Irreversible Processes, that the temporal evolution of the systems depends on the initial conditions and on the way the systems evolve.Much new experimental data converge towards the validation of the statement that water, at least in the context of the procedure of the homeopathic medicine production, really has a ‘memory’. That is to say: the water solvent shows experimentally measurable physicochemical properties that vary as a function of the ‘lived path’, of the solute previously dissolved, and of elapsed time.

Without doubt liquid water has an extended and ‘ordered’ dynamics involving the whole body of the liquid. It is much more complex than the normal idea of a banal and chaotic cluster of ‘molecular balls’.

References

1 E. Davenas, F. Beauvais and J. Amara et al., Human basophil degranulation triggered by very dilute antiserum against IgE, Nature 333 (1988), pp. 816–818. Full Text via CrossRef | View Record in Scopus | Cited By in Scopus

2 R. Germano, AQUA. L’acqua elettromagnetica e le sue mirabolanti avventure, Bibliopolis, Napoli (2007).

3 I. Prigogine, From Being to Becoming. Time and Complexity in the Physical Sciences, Freeman, San Francisco (1980).

4 V. Elia and M. Niccoli, Thermodynamics of extremely diluted aqueous solutions, Ann NY Acad Sci 879 (1999), p. 241. Full Text via CrossRef | View Record in Scopus | Cited By in Scopus

5 V. Elia and M. Niccoli, New physico-chemical properties of water induced by mechanical treatments. A Calorimetric study at 25 °C, J Therm Anal Calorimetry 61 (2000), pp. 527–537. Full Text via CrossRef | View Record in Scopus | Cited By in Scopus

6 V. Elia and M. Niccoli, New Physico-chemical properties of extremely diluted aqueous solutions, J Therm Anal Calorimetry 75 (2004), pp. 815–836. Full Text via CrossRef | View Record in Scopus | Cited By in Scopus

7 V. Elia, S. Baiano and I. Duro et al., New and permanent physico-chemical properties of the extremely diluted aqueous solutions of the homeopathic medicine. A conductivity measurements study at 25 °C in function of the age of the potencies, Homeopathy 93 (2004), pp. 144–150. SummaryPlus | Full Text + Links | PDF (154 K) | View Record in Scopus | Cited By in Scopus

8 V. Elia, E. Napoli and M. Niccoli et al., New physico-chemical properties of extremely diluted aqueous solutions. A calorimetric and conductivity study at 25 °C, J Therm Anal Calorimetry 78 (2004), pp. 331–342. Full Text via CrossRef | View Record in Scopus | Cited By in Scopus

9 V. Elia, M. Marchese and M. Montanino et al., Hydrohysteretic phenomena of ‘extremely diluted solutions’ induced by mechanical treatments. A calorimetric and conductometric study at 25 °C, J Solution Chem 34 (8) (2005), pp. 947–960. Full Text via CrossRef | View Record in Scopus | Cited By in Scopus

10 V. Elia, L. Elia and P. Cacace et al., Extremely diluted solutions as multi-variable systems. A study of calorimetric and conductometric behaviour as function of the parameter time, J Therm Anal Calorimetry 84 (2) (2006), pp. 317–323. View Record in Scopus | Cited By in Scopus

11 V. Elia, L. Elia and M. Marchese et al., Interaction of ‘extremely diluted solutions’ with aqueous solutions of hydrochloric acid and sodium hydroxide. A calorimetric study at 298 K, J Mol Liq 130 (2007), pp. 15–20. SummaryPlus | Full Text + Links | PDF (189 K) | View Record in Scopus | Cited By in Scopus

12 V. Elia, L. Elia and M. Montanino et al., Conductometric studies of the serially diluted and agitated solutions. On an anomalous effect that depends on the dilution process, J Mol Liq 135 (2007), pp. 158–165. SummaryPlus | Full Text + Links | PDF (235 K)

13 V. Elia, L. Elia and E. Napoli et al., Conductometric and calorimetric studies of serially diluted and agitated solutions: the dependence of intensive parameters on volume, Int J Ecodyn 1 (4) (2006), pp. 1–12.

14 P. Belon, J. Cumps and P.F. Mannaioni et al., Inhibition of human basophil degranulation by successive histamine dilutions: results of a European multi-centre trial, Inflammation Research 48 (Suppl 1) (1999), pp. S17–S18. View Record in Scopus | Cited By in Scopus

15 L. Rey, Thermoluminescence of ultra-high dilutions of lithium chloride and sodium chloride, Physica A 323 (2003), pp. 67–74. SummaryPlus | Full Text + Links | PDF (306 K) | View Record in Scopus | Cited By in Scopus

16 L. Betti, M. Brizzi and D. Nani et al., A pilot statistical study with homoeopathic potencies of arsenicum album in wheat germination as a simple model, Br Hom J 83 (1994), pp. 195–201. Abstract | PDF (432 K)

17 L. Betti, M. Brizzi and D. Nani et al., Effect of high dilutions of arsenicum album on wheat seedlings from seed poisoned with the same substance, Br Hom J 86 (1997), pp. 86–89. Abstract | PDF (276 K)

18 M. Brizzi, D. Nani and M. Peruzzi et al., The problem of homoeopathy effectiveness: a comparative analysis of different statistical interpretations of a large data collection from a simple wheat germination model, Br Hom J 89 (2000), pp. 1–5.

19 P. Torrigiani, A.L. Rabiti and C. Bortolotti et al., Polyamine synthesis and accumulation in the hypersensitive response to TMV in Nicotiana tabacum, New Phytol 135 (1997), pp. 467–473. View Record in Scopus | Cited By in Scopus

20 A.L. Rabiti, L. Betti and C. Bortolotti et al., Short term polyamine response in TMV-inoculated hypersensitive and susceptible tobacco plants, New Phytol 139 (1998), pp. 549–553. View Record in Scopus | Cited By in Scopus

21 G. Piccardi and R. Cini, Polymerization and the low-frequency electromagnetic field, J Polym Sci 48 (1960), p. 393. Full Text via CrossRef

22 G. Piccardi, Chemical test made in Antarctic, Geofis Meteorol XII (1963), p. 55.

23 G. Piccardi, 22 year solar cycle and chemical test, Geofis Meteorol XX (1961), p. 104.

24 F. De Meyer and C. Capel-Boute, Statistical analysis of Piccardi chemical tests, Int J Biometeorol 31 (1987), pp. 301–322.

25 C.J.T. Grotthuss, Sur la décomposition de l’eau et des corps qu’elle tient en dissolution à l’aide de l’électricité galvanique, Ann Chim 58 (1806), pp. 54–73.

26 E. Del Giudice, R. Mele and G. Preparata, Dicke Hamiltonian and superradiant phase transitions, Mod Phys Lett B 7 (28) (1993), pp. 1851–1855.

27 G. Preparata, QED Coherence in Matter, World Scientific, Singapore (1995).

28 R. Arani, I. Bono and E. Del Giudice et al., QED coherence and the thermodynamics of water, Int J Mod Phys B 9 (1995), p. 1813. Full Text via CrossRef

29 E. Del Giudice and G. Preparata, A new QED picture of water: understanding a few fascinating phenomena. In: E. Sassaroli et al., Editors, Macroscopic Quantum Coherence, World Scientific, Singapore (1998), pp. 49–64.

Corresponding Author Contact InformationCorrespondence: Vittorio Elia, Dipto. di Chimica, Università ‘Federico II’ di Napoli, Complesso Universitario di Monte S.Angelo, via Cintia, 80126 Napoli, Italy.



Homeopathy
Volume 96, Issue 3, July 2007, Pages 163-169
The Memory of Water

Journal Club – “Can low-temperature thermoluminescence cast light on the nature of ultra-high dilutions?”

January 1st, 2000 by Ben Goldacre in journal club | 5 Comments »

This is part of the Homeopathy journal club described here:

www.badscience.net/?p=490

doi:10.1016/j.homp.2007.05.004 How to Cite or Link Using DOI (Opens New Window)
Copyright © 2007 Elsevier Ltd All rights reserved. Can low-temperature thermoluminescence cast light on the nature of ultra-high dilutions?

Louis ReyCorresponding Author Contact Information, a, E-mail The Corresponding Author
aChemin de Verdonnet 2, CH-1010 Lausanne, Switzerland
Received 2 May 2007; revised 8 May 2007; accepted 16 May 2007. Available online 31 July 2007.

Abstract

Low-temperature thermoluminescence has been used in attempt to understand the particular structure of ultra high dilutions. Samples are activated by irradiation after freezing at the temperature of liquid nitrogen (77°K). Experimental results show that, in the course of rewarming, the thermoluminescent glow is susbtantially different between dilutions of different substances. It is suggested that the dispersed gas phase might play a role in this process.

Keywords: irradiation; frozen dilutions; nanobubbles; low-temperature glow

Article Outline

Introduction
Research objective
Method
Results
New prospects
Acknowledgements
References


Introduction

No chemical is more common on earth than water: it covers 75% of the earth’s surface with a total mass of 1.4 billion megatons. A very simple molecule, with one central, negatively charged, oxygen atom and two positively charged hydrogen atoms 0.1 nm apart at an angle of 104°1 water is, nevertheless, a most atypical compound. In the liquid state, it is an abnormal fluid which should be a gas by comparison with other similar chemicals. Among other unusual properties, it increases in volume when crystallizing into solid ice at 0°C and boils at 100°C: both these temperatures are abnormally high for a substance which is neither a metal nor an ionic compound. Its dielectric constant as well as its increasing fluidity with rising pressure is equally odd.

In fact, liquid water is not a simple association of independent molecules; the molecules are actively interconnected by hydrogen bonds[2] and [3]. Liquid water is, indeed, a structured fluid which behaves as a polymer. In an ever-moving universe, individual water molecules link to each other, most often in tetrahedral geometry, building evanescent clusters which are continuously formed and dissociated again at random in a pico-second timeframe. When an ionic compound is dissolved in H2O, each ion is immediately surrounded by a spherical shell of water molecules so intensely that, should the concentration of the solute be high enough (over about 10%) all the shells come into contact and there is no more truly liquid water.

It can, thus, be understood that, in the preparation of an homeopathic medicine, any compound dispersed in water gives rise, from the outset, to a specific structure. When successive dilutions are made the violent turbulence created in the liquid by each succussion, helps to both maintain and possibly spread the original structure despite, progressively, the solute content of the dilution dropping by a factor of 100 with each centesimal step. However, Brownian motion is still very active and these ‘remnant structures’ fade away and reconstitute continuously. In other terms, we could say that homeopathic dilutions are ‘statistically structured’ and could remain so beyond the Avogadro number. Succussion appears to be an essential part of the overall process.

Research objective

It is easy to understand why, based upon this succession of dilutions–succussions, many scientists believe that eventually—and definitely beyond the Avogadro number—the resulting ‘solutions’ are no more than the dilution fluid itself. However, numerous physiological and clinical tests have demonstrated for decades, since Hahnemann himself, that this is not the case. Our research objective has been to try to demonstrate that the high dilutions are physically different from the diluent and have, indeed, an ‘individual personality’.

Method

Since any investigation is always difficult in an highly dynamic system we assumed that, should some specific ‘patterns’ exist in the liquid dilution they might be fixed when it is frozen giving rise to specific defects in the crystal lattice of ice, which could be investigated by appropriate means.

To perform this type of studies we selected low-temperature thermoluminescence. This technique, which is well known for archaeological and geological dating,4 has been adapted by us to low temperatures5 and described in detail in previous publications.[6] and [7] I will here only summarize here its main features.

A 1 cc sample of the dilution under investigation is placed in an aluminum cup and frozen down to liquid nitrogen temperature (−196°C=77°K) following a well defined multi-step process. The frozen 1 mm thick ice disk is then ‘activated’ by radiation (Gamma rays, X-rays or electron beams) which displace electrons from their quantum ground states. The sample is then rewarmed at constant rate (3°C/min) from 77°K to melting point. During that process the electrons, powered by ‘thermal activation’ leave their respective traps and recombine with the empty quantum ‘holes’ releasing their ‘activation energy’ in the form of light as they do so. This light is the thermoluminescent glow that we record.

The analysis of the emitted light shows two main peaks around 120 and 166°K for deuterium oxide and 115 and 162°K for H2O.5 Their relative intensity and shape vary both with the radiation dose and also with the nature of the radiant beam. In particular peak 2 displays a complex structure which can be resolved in a set of individual components by a deconvolution technique.[8] and [9] It is assumed that the ‘defects’ present in the ice crystalline lattice are active luminescent centers, hence that thermoluminescence might be an appropriate tool to study the ‘image’ of the initial liquid samples.

Results

Thermoluminescence is known to be a very sensitive technique and has been used to identify trace compounds. For example see Figure 1, the thermoluminescence emissions of very dilute alumina colloidal sols which show major differences between the 10−8 g/ml, 10−9 and 10−10 g/ml solutions.


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Figure 1. Thermoluminescence glow of colloidal sols of alumina irradiated by gamma rays (10 kGy) at liquid nitrogen temperature (77°K).

For homeopathic high dilutions we use deuterium oxide (D2O, heavy water) as the solute since the signal is 50 times more intense than that of H2O, due to the more rigid nature of the two ‘arms’ of the molecule. As diluted substances we selected two ionic compounds: sodium chloride (NaCl) and lithium chloride (LiCl). The latter was selected because, like urea and ethanol, it is known to impact on and suppress the hydrogen bonds10 which are thought to be involved into the high temperature peak (ca 166°K) of the thermoluminescence glow.6 Figure 2 shows that the curves recorded for successive dilutions of LiCl (3c, 5c, 7c, 9c) prepared by the classical Hahnemannian method and following the French Homeopathic Pharmacopoeia (150 strokes of 2 cm amplitude in 7.5 s, delivered by mechanical succussion machine) are substantially different.


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Figure 2. Thermoluminescence glow of successive dilutions (3c, 5c, 7c, 9c) of lithium chloride in D2O irradiated by a 2.2 Mev electron beam (6 kGy) at 77°K.

Subsequently, since it appeared that we had a reliable tool for assessing the dilutions we applied the same method to ultra-high dilutions beyond Avogadro’s number.6 Figure 3 gives the results and shows evidence that the ‘signature’ peak of LiCl 15c is substantially lower than that of NaCl 15c and lower than succussed pure D2O. This demonstrates that: ultra-high dilutions are different from their dilution fluid.


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Figure 3. Thermoluminescence glow of ultra-high dilutions (15c) in D2O of LiCl, NaCl and of pure D2O, diluted and succussed to 15c irradiated by gamma rays (19 kGy) at 77°K.

The high temperature components of the glow (ca 166°K) is linked to the hydrogen bond network. These results have been recently confirmed by another research group.11

In recent and still unpublished experiments we found the same type of ‘scaling’ between increasing dilutions of other compounds, among which potassium dichromate looks particularly interesting.12

New prospects

As I said above, in the homeopathic preparation scheme, succussion is an important component of the preparation process of homeopathic medicines, releasing considerable energy in the fluid. In view of this I became interested in recent research on the role of ‘nanobubbles’ in water.13 Part of the ‘message’ transferred from one dilution step to the next one might be linked to the nanobubbles created into the liquid by the successive strong mechanical agitation which creates turbulence.

To investigate this, we built special equipment to perform dynamization in gas atmosphere or vacuum. We dynamize the dilution at room temperature (20°C) under a moderate vacuum (2337 Pa=24 mbar) which corresponds to the saturated water vapour pressure at 20°C. Time to reach vacuum is approximately 20 seconds. Dynamization is 150 strokes in 7.5 sec followed by stabilization under reduced pressure for 3 minute. The vacuum is broken reverting to atmospheric pressure in 20 seconds. Figure 4 gives preliminary results which show that the gas-phase seems to play a major role in the ‘personalization’ of the dilutions. Bearing in mind that the number of nanobubbles created into the fluid is of the order of billions (which represents a very large ‘contact’ surface with the surrounding liquid) and that, due to their size, they may remain stable and undisturbed in the dilution for months or even much longer, this might open some new perspectives on our understanding of the homeopathic preparation process.


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Figure 4. Thermoluminescence glow of LiCl 15c in D2O dynamized in a vacuum and in a pure O2 at 15 bars pressure and irradiated by a 2.2 Mev electron beam (6 kGy) at 77°K. We dynamize the dilution at room temperature (20°C) under moderate vacuum (2337 Pa=24 mbar) which corresponds to the saturated water vapour pressure at 20°C. The time to reach vacuum is approximately 20 seconds, we use our standard dynamization: 150 strokes of approximately 2 cm amplitude in 7.5 sec, followed by stabilization under reduced pressure for 3 minutes. The vacuum is then broken, reverting to atmospheric pressure in approximately 20 seconds.


Acknowledgments

The author thanks Laboratoires BOIRON and the AREVA Nuclear Center of Marcoule for their interest and support.

References

1 J. Teixeira, Can water possibly have a memory? A sceptical view, Homeopathy 96 (2007), pp. 158–162. SummaryPlus | Full Text + Links | PDF (366 K)

2 R. Roy, W.A. Tiller, I. Bell and M.R. Hoover, The structure of liquid water; novel insights from material research; potential relevance to homeopathy, Mater Res Innovations 9 (2005), pp. 93–124.

3 J. Teixeira, A. Luzar and S. Longeville, Dynamic of hydrogen bonds: how to probe their role in unusual properties of liquid water, J Phys Condens Matter 18 (2006), pp. S2353–S52362.

4 Gartia RK. Thermoluminescent materials: past, present and future. In: Sarma HNK, Sumitra P, Basantakumar Sharma H, (eds). Proceedings of Regional Conference on Materials and their Applications (RCMA), February 18–19, 2005, Manipur University, Imphal, India, 2005, p 33–40.

5 L. Rey, Thermoluminescence de la Glace, CR Physi I (2000), pp. 107–110.

6 L. Rey, Thermoluminescence of ultra-high dilutions of lithium chloride and sodium chloride, Physica A 323 (2003), pp. 67–74. SummaryPlus | Full Text + Links | PDF (306 K) | View Record in Scopus | Cited By in Scopus

7 L. Rey, Thermoluminescence of deuterated amorphous and crystalline ices, Rad Phys Chem 72 (2005), pp. 587–594. SummaryPlus | Full Text + Links | PDF (467 K) | View Record in Scopus | Cited By in Scopus

8 B.A. Sharma, Th. Basanta Sing and R.K. Gartia, Critical evaluation of goodness of fit of computerised glow curve deconvolution, Indian J Pure Appl Phys 42 (2004), pp. 492–497.

9 Rey L, Gartia RK, Belon P. Trap Spectroscopic Characterization of D2O ice and its potentialities in homeopathy. In: Selvasekarapandian S, Murthy KVR, Natarajan V, Malathi J, Brahmanandhan GM, Khanna D, (eds). Macmillan Advanced Research Series. Proceedings of the National Conference on Luminescence and Its Applications (NCLA, 2007) January 18–20, Bharathiar University, India. New Delhi: Macmillan India Ltd., 2007, p 12–17.

10 Ourisson G. Personal communication, 2000.

11 R. van Wijk, S. Basman and E. van Wijk, Thermoluminescence in ultra-high dilution research, J Alternative Complementary Med 12 (2006), pp. 437–443. View Record in Scopus | Cited By in Scopus

12 Rey L, Muchitsch I. Recent unpublished results, 2007.

13 Ph. Vallée, J. Lafait, L. Legrand, P. Mentré, M-O. Monod and Y. Thomas, Effects of pulsed low-frequency electromagnetic fields on water characterized by light scattering techniques: role of bubbles, Langmuir 21 (6) (2005), pp. 2293–2299. Full Text via CrossRef | View Record in Scopus | Cited By in Scopus

Corresponding Author Contact InformationCorresponding author. Louis Rey, Chemin de Verdonnet 2, CH-1010 Lausanne, Switzerland.



Homeopathy
Volume 96, Issue 3, July 2007, Pages 170-174
The Memory of Water

Journal Club – “The nature of the active ingredient in ultramolecular dilutions”

July 29th, 2015 by Ben Goldacre in journal club | No Comments »

This is part of the Homeopathy journal club project described here:

www.badscience.net/?p=490

doi:10.1016/j.homp.2007.05.005 How to Cite or Link Using DOI (Opens New Window)
Copyright © 2007 Elsevier Ltd All rights reserved. The nature of the active ingredient in ultramolecular dilutions Otto WeingärtnerCorresponding Author Contact Information, a, E-mail The Corresponding Author
aDepartment of Basic Research, Dr. Reckeweg & Co. GmbH, Berliner Ring 32, D 64625 Bensheim, Germany
Received 8 March 2007; revised 14 May 2007. Available online 31 July 2007.

Abstract

This paper discusses the nature of the active ingredient of homeopathic ultramolecular dilutions in terms of quantitative physics.

First, the problem of the nature of an active ingredient in ultramolecular dilutions is analysed leading to the recognition of the necessity of characterizing the active ingredient as a non-local quality.

Second, non-locality in quantum mechanics, which is used as a paradigm, is formally presented.

Third, a generalization of quantum mechanics is considered, focussing on the consequences of weakening of the axioms.

The formal treatment leads to the possible extension of the validity of quantum theory to macroscopic or even non-physical systems under certain circumstances with a while maintaining non-local behaviour. With respect to the survival of entanglement in such non-quantum systems a strong relationship between homeopathy and non-local behaviour can be envisaged. I describe how several authors apply this relationship. In conclusion, the paper reviews how quantum mechanics is closely related to information theory but why weak quantum theory and homeopathy have not hitherto been related in the same way.

Keywords: potencies; non-locality; entanglement; weak quantum-theory; information

Article Outline

Introduction
Necessity of a general principle
How non-locality arose
What is entanglement?
Weakening the axioms of quantum mechanics
WQT and homeopathy
Entanglement and information in quantum physics and beyond
Discussion
Acknowledgements
Appendix A. The sequential box model (SBM)
Appendix B. Entanglement
References


Introduction

When I started basic research on homeopathy more than 20 years ago I endeavoured to describe homeopathic potencies according to the laws of physics as far as possible. This soon led me to the hypothesis of a field being responsible for the homeopathic phenomenon. In investigating this hypothesis I learned from biophysics that such a field has to be closely related to electromagnetism, because of the ability of living organisms to react in a specific way on electromagnetic signals.1 I concluded that the mechanism of homeopathic effects must be similar to resonances between electromagnetic waves and started to search for stored patterns of electromagnetic origin or, more generally, of physically measurable properties which differ between potencies and their solvent.

The results of the series of experiments that were carried out with a variety of standard physical–chemical methods2 were disappointing. Almost none of the experiments could reproduce results reported in specialist literature, and for no experimental arrangement could the results be forecast. However, the totality of experiments with nuclear magnetic resonance (NMR) showed a clear tendency in favour of a difference between potencies and their solvent in the water- and OH-portions of the ethanol–water-molecule.3 I was quite pleased with this tendency, which is now being investigated by other researchers,4 but I realized that looking for effects without having any clue of their significance is hazardous. Therefore, I started building models for the ‘Therapeutically Active Ingredient’ (TAI) and it soon became clear that models for the TAI have to have holistic character.5

While playing with models, I developed a construct which I called the ‘Sequential Box Model’ (SBM, see Appendix A). SBM is a thought experiment illustrating that the homeopathic phenomenon can be treated within physics with no consideration of the degree of dilution. Furthermore, the SBM explicitly underlines the long-standing presumption that for a TAI to emerge during the potentization procedure a quality beyond ordinary correlation between particles has to occur or be in existence already.

About this time the idea of the so-called ‘quantum computing’ was proposed in computer science.[6] and [7] This involves the idea of non-local correlations between states of entities. For my work, such non-local behaviour was the missing link between the SBM and a possible TAI, particularly as it was already known that non-local behaviour can occur in non-quantum systems under certain circumstances. The relationship between non-local behaviour of events in nature and the homeopathic phenomenon may give a clue to the ‘nature of the active ingredient in ultramolecular dilutions’ (NAIUD). It is the aim of this paper to analyse this relationship without going too far into technical details.

Necessity of a general principle

When we talk about the active ingredient of ultramolecular dilutions as used in homeopathy, we mean a non-material quality which—according to the principles of homeopathy—can be traced back to a substance. Moreover, this quality is understood to be able to make the symptoms of a patient disappear when administered via a vehicle. Many people call this quality ‘information’. Let us first look at the set of events that are required for a therapeutic active ingredient to develop out of a substance. In this context, the existence of a TAI is temporarily assumed as being proven by successful treatment (Figure 1).

1. First of all, a proving (homeopathic pathogenetic trial) must have been conducted resulting in a drug picture with specific symptoms.
2. A mother tincture is prepared from the substance.
3. Apart from some specific procedures for the preparation of low potencies that depend on the nature of the substance itself, the mother tincture is potentized stepwise with no consideration of the degree of dilution. Dilutions far beyond Avogadro’s number are used in daily practice.
4. When a homeopathic potency is prescribed, this is done according to the law of similars without consideration of the occurrence or not, of any molecule of the original substance in the medicine administered.
5. An artificial disease is triggered off resulting in healing.

These points demonstrate that the active ingredient of homeopathic potencies might have a variety of possible originators, especially when we only look at the squares and arrows in Figure 1 separately. There is no reason as to why two or more of these originators should complement one another. But if we look at Figure 1 as a whole, the necessity of a general principle becomes obvious. For such a principle, the symptoms of the homeopathic drug picture, the principle of releasing hidden energies of the substances by potentizing, the law of similars and the triggering of an artificial disease are specific projections. The problem is, how to specify this principle, especially with respect to the following questions:

1. Could such a general principle possibly be derived from the presence of a physical field?
2. For ultramolecular dilutions, interactions between molecules of the solute and those of the solvent do not make sense in terms of current scientific understanding. How can this be resolved?
3. Are there any reliable arguments for a concept of a global influence being responsible for an active ingredient in homeopathic potencies? Rupert Sheldrake’s morphogenetic field8 might serve as an example of such a concept.

In physics, fields are inevitably linked to interaction between material partners via interaction-particles. Photons, for instance, are the interaction-particles of the electromagnetic field.9 Thus, potentization as well as treatment with potencies—procedures that implicitly do not depend on matter–matter-interaction—are not primarily based on physical fields.


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Figure 1. Schema of events which are required for a TAI to: (a) develop out of a substance, and (b) proved to be existent by successful treatment. Arrows represent procedures, they map states onto states.

Both procedures, however, suggest mind–matter and matter–mind correlations.

1. Neither a specific chemical nor a specific physical property of the original substance is known to be transferred during the preparation of potencies although mother tinctures, which of course contain many molecules of the original substance, are mandatory for a starting point of this procedure. Potentization here appears to embody a procedure that relates matter to mind.
2. No common donor–acceptor-mechanism is known to be responsible for the effects of potencies. Treatment appears to embody a procedure that relates the ‘mind of matter’ to the ‘mind of illness’. The latter of course itself is strongly related to biological matter and is often looked upon as a relationship belonging to psychosomatics.

Are these correlations better described by interaction mechanisms that are not linked to particles? A possible alternative is non-local correlations, known from specific effects in quantum physics. Roughly speaking these correlations have the following characteristic:

1. Non-local correlations between systems or entities represent a real simultaneous behaviour of the correlation partners because no interacting particles (which have a finite speed and therefore cause a time delay) are necessary for interaction.
2. Non-local correlations are not able to interchange matter but only non-material information.
3. Non-local correlations are, in principle, independent of spatial distances.

How non-locality arose

Although Einstein was one of the founders of quantum physics, he did not accept quantum mechanics as to be a complete description of the phenomena of the micro world. He explained the reason for this attitude in a paper which he published with Podolsky and Rosen in 1935. In this famous paper, the three physicists described a thought experiment in which two physical quantities have simultaneous reality.10 For Einstein, this was a counter example for the completeness of quantum mechanics as a description of nature and for the rest of his life he did not change this attitude. He was not willing to accept counter-intuitive features in the description of nature. Schrödinger later on called this counter-intuitive property of quantum systems ‘entanglement’. Only three decades later, John Bell11 gave a theory-based criterion by which it was possible to decide whether a system is a quantum system or not. This criterion was applied in 1982 by Aspect and co-workers to an experimental arrangement in which they showed, for the first time, that entangled states can occur in quantum systems.12 Since then many properties of systems in micro-physics have been demonstrated in experimental arrangements based on entanglement.[5], [6] and [7] All have one thing in common: ‘Entanglement in quantum systems’.

What is entanglement?

Entanglement is a highly counter-intuitive quality of quantum systems. The fact that entanglement is irrelevant to Newtonian physics does not justify the assumption that quantum physics is the only field where entanglement occurs. At least theoretically, entanglement can occur in any system that fulfils a certain set of axioms. Entanglement comes in various guises and it is not easy for non-specialists to see whether a phenomenon belongs to the category of entangled systems or not. For our purposes, it should suffice to get a clue what entanglement is, without too much technical fuss. Readers who are interested in a more precise explanation are referred to Appendix B.

As an example let us imagine a secluded island exclusively inhabited by females. Being asked what human beings are, the inhabitants of this island would most probably point their fingers at themselves. Similarly, the inhabitants of another island exclusively inhabited by males would identify human beings with males. For the rest of the world, human beings are females as well as males. This is a description of a factual connection, where a generic quality in a system has a different meaning in its subsystems. Furthermore, if we look at pairs of human beings there might be couples among them in the rest of the world, in total contradiction to the local meaning in the two islands.

A generalization of this example leads to the following. Let p1 be a particle in a system A and let p2 be another particle in a system B. System A and system B are assumed to be disjoined, ie have no common points/particles. System A rules the behaviour of particle p1 and system B does the same for particle p2 (see Figure 2).


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Figure 2. Schema of two entangled systems A and B. p1 and p2 are assumed to be correlated. Seen from (A+B) correlation can be observed. Seen from A or B only local observations are possible.

It might be that states of the totality of the two systems occur which cannot be recognized in system A or in system B alone, but are exclusively linked to the recognition of (A+B) as a third generic system. In the above example as well as in the following generalization constellations, in which global observations are not compatible with local ones, are possible. This is the idea behind entanglement.

Weakening the axioms of quantum mechanics

Quantum mechanics deals with states zi and observables P, Q of quantum systems. Examples of observables are momentum, angular momentum, etc. Observables are thought to act as maps on the set of states. So, an observable P maps a state z1 into another state z2. Onto z2 a second observable Q may be applied resulting in a state z3. Unlike in classical mechanics in quantum mechanics one does not always have P(W(z))=Q(P(z)) or equivalently:

Pring operatorQQring operatorP≠0,

where ‘ring operator’ is to be interpreted as ‘apply to’, where ‘0’ on the right-hand side of this inequality denotes the ‘zero-operator’ and where states ‘z’ have been omitted. Such a relation is known as a ‘commutation-relation’ of the two observables. Using states and observables as well as their relation to each other, quantum mechanics can be described as an algebraic system whose behaviour is ruled by a set of axioms that reflect the physical properties.In 2002, Atmanspacher et al. published13 the idea that weakening the axioms of quantum theory (weak quantum theory, WQT) could lead to theories that are no longer quantum systems or even physical systems at all, but which still have the property of possible entanglement. To be more precise, Atmanspacher et al. considered systems that comply with the following conditions (see also14):

1. Systems are any part of reality.
2. Systems are assumed to have the capacity to reside in different states. The set of states is not assumed to have the structure of the above-mentioned abstract space.
3. Observables are features of a system which can be investigated. They map states into states.
4. The composition Pring operatorQ of two observables is also an observable. P and Q are called compatible if they commute (ie Pring operatorQQring operatorP=0).
5. To every observable P there is a set of different (possible) outcomes.
6. There are special observables (propositions) whose possible outcomes are either ‘yes’ or ‘no’. They follow the laws of ordinary proposition logic and have specific spectral properties (omitted here).

Within these conditions entanglement arises if global observables P pertaining to all of a system are not compatible to local observables Q pertaining to parts of the system (iePring operatorQQring operatorP≠0).

WQT and homeopathy

Since WQT systems are not necessarily quantum systems, WQT could be a tool to develop models for phenomena which are not quantum but have features which resemble entanglement, for instance, homeopathy. Several authors therefore have applied WQT to the homeopathic phenomenon. Walach, one of the co-authors of the original WQT paper,15 presented a model in which the two semiotic processes ‘substance and potency’ as well as ‘drug picture and symptoms of the patient’ are assumed to be entangled by the law of similars. Milgrom has sketched a model for the homeopathic phenomenon in which the three pairs ‘Patient and practitioner’, ‘patient and remedy’ as well as ‘practitioner and remedy’ are assumed to be entangled in pairs.16 In a metaphorical way he derives, in succeeding papers, from this entanglement triangle an astonishing variety of principles of homeopathy.

Both models presuppose the validity of WQT for the specific situation in homeopathy and Milgrom, at least, deduces implications which reflect the way homeopaths think. In terms of logic, the approach of these two models is called the sufficiency part of a proof. The necessity part would be the proof that the assumptions which underlie homeopathy such as the potentization, the law of similars, etc., fit the preconditions of WQT.

I have tackled the TAI problem in a previous paper.17 This is where the SBM (see Appendix A) becomes relevant as a thought model, because it characterizes homeopathic potencies as a real physical system in which an unknown inner correlation is sought. In essence, paper17 showed that sets {Ji1,…,im·σi1,…,im·σi1,…,im} of spin-like states, where indices i1,…,im vary over permutations, fit the axioms of WQT for an arbitrary big system BN in the SBM. The sets {Ji1,…,im·σi1,…,im·σi1,…,im} are a generalization of couplings (Jik·σi·σk) of two spins, in NMR-theory, for instance. The generalization strongly suggests to investigate the possibility of global couplings instead of pair-to-pair couplings.

In summary, a number of arguments exist for non-locality being the general principle underlying the NAIUD. Quantum mechanics, however, cannot be considered, without further investigations, the theoretical frame for the NAIUD. The paradigm is rather non-locality. Quantum physics is merely the scientific discipline where non-locality has proven to occur in reality. Figure 3 gives a schematic classification of phenomena which can be treated within quantum mechanics, and those which have less structure in the set of their states and therefore need another theoretical environment, WQT. Questions concerning the NAIUD might even go beyond WQT.


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Figure 3. (I) The set of phenomena understood by quantum mechanics (essentially quantum physics); (II) the set of phenomena possibly understood by weak quantum theory (ie quantum physics and beyond); and (III) the set of phenomena belonging to homeopathy, possibly not a proper subset of II. Although quantum mechanics is an excellent paradigm for entanglement occurring in nature, quantum mechanics itself is not the frame in which NAIUD can be described.

Entanglement and information in quantum physics and beyond

It is the purpose of this section to explain the considerable difficulties one should be aware of when applying WQT instead of normal quantum mechanics to systems in nature.

This will be exemplified by the difficulties which arise when the attempt is made to translate ‘informational content’ (=entropy) in a quantum system to a system which is not quantum but which can be investigated by WQT. For formally correct representations of the factual connections given here, the reader is referred, for instance, to.6

The key concept of classical information theory is that of Shannon entropy. According to this concept, the entropy of a random variable A quantifies how much information we gain, on average, when we learn the value of A. Conversely, the entropy of A measures the amount of uncertainty about A before we learn its value. Thus, on the one hand, entropy measures the uncertainty associated with a classical probability distribution. On the other hand, in quantum ensembles density operators ρ, which represent the statistics of ensembles of different molecules in different states, formally replace probability distributions.

It was John von Neumann’s brilliant insight that in quantum mechanics the entropy S(ρ) of ρ can be expressed by the formula

Click to view the MathML source

where λx are the eigenvalues of the density operator ρ. If entanglement between two subsystems of a quantum system occurs and if one considers the density operators of these subsystems separately it can be shown that the von Neumann entropy of one of these reduced density operators is a measure of the degree of entanglement. This measure has an upper bound log(s), where s (the Schmidt-number) is the dimensionality of an abstract space in which these states ‘live’. Clearly, the bigger the s, the more the particles or states entangled. Applied to an arbitrary box BN of the SBM this suggests that the bigger the box BN is, the larger s has to be chosen and therefore the larger the measure of the amount of information.These considerations, however, presuppose entanglement of those particles being directly concerned. If we turn to a situation where WQT has to be applied instead of quantum mechanics, many of the basic constituents are no longer present or at least no longer adequately defined. For instance, if the set of states is structured so poorly then the above formula for von Neumann entropy makes no sense.

Discussion

The principle of non-local behaviour of systems in nature, first investigated in the context of the counter-intuitive phenomena of quantum physics, is not necessarily restricted to physics at the micro scale. This is the essence of WQT. Roughly speaking WQT shows that in every system where local and global observables do not commute with each other non-local behaviour is possible. For some authors, WQT was the reason for using non-locality to characterize the nature of the active ingredient of ultramolecular dilutions. Some models have simply drawn consequences from such a possible generalized non-locality, another looks at the real potentization procedure, asking what non-locality might contribute to an active ingredient. But WQT is not known to be powerful enough to describe the NAIUD entirely.

So the question arises, why considered WQT in such detail in connection with homeopathy? The answer is simple. With WQT, for the first time, special emphasis is placed quantitatively on entanglement as an idea. Moreover, WQT has shown to be a powerful tool for the characterization of the physics of the class of mathematical problems which arise when the NAIUD is to be described.

It is a great temptation to use WQT as a special way of describing the laws of quantum physics. People who do so tend to ignore the restraints given of WQT and use it as a theory applicable to everything, including the NAIUD. This is certainly not the right way to describe the NAIUD. An attempt to characterize the informational content of a system to be investigated by WQT, shows that it is not easy to generalize the concept in quantum mechanics to WQT or beyond.

Of course, all these considerations do concern the NAIUD in modelling situations. The question is, why do such work instead of looking for the TAI in experiments? The answer is that model building is a method of finding a way of thinking which allows us to understand a set of phenomena in a wider context. In contrast, experimental work tends to reductionism. I hope that both tendencies will ultimately meet.

Acknowledgement

This paper was partially done within the project ‘Modelling and simulating the therapeutically active ingredient of homeopathic potencies’ which was supported by the Carstens-Foundation.

References

1 Fröhlich H, Kremer F (eds). Coherent Excitations in Biological Systems. Berlin, Heidelberg, New York: Springer, 1983.

2 O. Weingärtner, Homöopathische Potenzen, Springer, Berlin, Heidelberg, New York (1992).

3 O. Weingärtner, Kernresonanz-Spektroskopie in der Homöopathieforschung, KVC-Verlag, Essen (2002).

4 J.L. Demangeat, P. Gries and B. Poitevin et al., Low-field NMR water proton longitudinal relaxation in ultrahighly diluted aqueous solutions of silica–lactose prepared in glass material for pharmaceutical use, Appl Magn Reson 26 (2004), pp. 465–481. View Record in Scopus | Cited By in Scopus

5 O. Weingärtner, Über die wissenschaftliche Bearbeitbarkeit der Identifikation eines ‘arzneilichen Gehalts’ von Hochpotenzen, Forsch Komplementärmed Klass Naturheilk 9 (2002), pp. 229–233. View Record in Scopus | Cited By in Scopus

6 M.A. Nielsen and I.L. Chuang, Quantum Computation and Quantum Information, Cambridge University Press, Cambridge (2000).

7 C.P. Williams and S.H. Clearwater, Explorations in Quantum Computing, Springer, New York (1998).

8 R. Sheldrake, The Presence of the Past, Times Book, New York (1988).

9 J.D. Bjorken and S.D. Drell, Relativistic Quantum Fields, McGraw-Hill Book Company, New York (1965).

10 A. Einstein, B. Podolsky and N. Rosen, Can quantum–mechanical description of physical reality be considered complete?, Phys Rev 47 (1935), pp. 777–780. Full Text via CrossRef

11 J.S. Bell, On the Einstein Podolsky Rosen paradox, Physics 1 (1964), pp. 195–200.

12 A. Aspect, P. Grangier and G. Roger, Experimental realization of Einstein–Podolsky–Rosen–Bohm–Gedanken experiment: a new violation of Bell’s inequalities, Phys Rev Lett 48 (1982), pp. 91–94. Full Text via CrossRef

13 H. Atmanspacher, H. Römer and H. Walach, Weak quantum theory: complementarity and entanglement in physics and beyond, Found Phys 32 (2002), pp. 379–406. Full Text via CrossRef | View Record in Scopus | Cited By in Scopus

14 Römer H. Weak Quantum Theory and the Emergence of Time, 2004, arXiv:quant-ph/0402011 v1, 2 February 2004.

15 H. Walach, Entanglement model of homeopathy as an example of generalized entanglement predicted by weak quantum theory, Forsch Komplementärmed Klass Naturheilk 10 (2003), pp. 192–200. Full Text via CrossRef | View Record in Scopus | Cited By in Scopus

16 L. Milgrom, Patient-practitioner-remedy (PPR) entanglement. Part 1: a qualitative, non-local metaphor for homeopathy based on quantum theory, Homeopathy 91 (2002), pp. 239–248. Abstract | Abstract + References | PDF (240 K) | View Record in Scopus | Cited By in Scopus

17 O. Weingärtner, What is the therapeutically active ingredient of homeopathic potencies?, Homeopathy 92 (2003), pp. 145–151. SummaryPlus | Full Text + Links | PDF (156 K) | View Record in Scopus | Cited By in Scopus

Appendix A. The sequential box model (SBM)

Imagine a certain volume of mother tincture is present in a box B0. Then imagine the contents of B0 are poured into another box B1, 10 times bigger than B0 and already 9/10th full of solvent. Imagine then B1 being vigorously shaken as in the preparation procedure of homeopathic potencies. Imagine then the whole content of B1 being poured into another box B2, 10 times bigger than B1 and again 9/10th full of solvent.

This procedure can be continued to an arbitrary box BN and it is clear that:

1. In every Box BN the whole volume of mother tincture is present, ie the problem of high potencies can be, at least in a thought experiment, treated physically.
2. If one attempted to conduct this experiment in reality the procedure would come to an end very soon because of the unrealizable dimensions of the boxes.
3. The higher N grows the less probable is the occurrence of a molecule in a random sample taken out of BN. This means that in BN an additional property has to be present which carries the information of B0. This property has to be non-local.

Appendix B. Entanglement

Mathematicians represent every point in the three-dimensional space of our experience as a sum of multiples of vectors of unit lengths in the x-, y– and z-axes. In the same way, they often represent objects in abstract spaces as sums of multiples of basic elements of these spaces. A direct application of this to quantum physics leads to the following.[6] and [7]

The states of quantum systems are mathematically represented by elements (points in) of an abstract Hilbert-space H. If points in this space are denoted by ψ and if the basic elements of H are denoted by phii (i=1,2,…), representations of states look like

Click to view the MathML source

This is commonly known as the principle of superposition in quantum mechanics, ie a wave function ψ is the superposition of multiples ai of basis ‘waves’ phii. In case of two particles forming two different systems we have the two representations:

Click to view the MathML source

Click to view the MathML source

where the numberings (1) and (2) are used to distinguish between the two. For the sake of clarity, we also index the Hilbert-spaces belonging to each of these representations (and get H1 and H2, respectively) although they are usually identical.The crucial point now is the consideration of a system consisting of the two particles as a whole. In this case, it is necessary to construct another Hilbert-space H=H1circle times operatorH2 out of H1 and H2 in such a way that this new system ‘lives’ in H1 and in H2 at the same time. In order to achieve this, a so-called tensor-product H1circle times operatorH2 is formed. This is a new Hilbert-space whose points have the form

Click to view the MathML source

where Φi,j denote basis elements in H=H1circle times operatorH2 and ci,j their multiples. Entangled states are those (ψ(1)ψ(2)) for which the multiples ci,j cannot be written as

ci,j=aibj,

with ai and bj being the multiples from above and independent from each other.Remarks

1. The above relation between states can be interpreted as the possible arising of additional qualities when two single systems are looked upon as a whole.
2. The set of entangled states in most of quantum systems is not empty. For many systems, the subset of possibly entangled states is much bigger than the non-entangled.
3. The above characterization is not restricted to pairs of particles.
4. States (ψ(1)ψ(2)) in H=H1circle times operatorH2 which cannot be split into products of pure states in H1 and H2, respectively, might be imagined as the pure states of the composite system.
5. The description of entanglement in quantum mechanics, which is a counter-intuitive, strongly depends on a mathematical apparatus with a rich structure.


Corresponding Author Contact InformationCorrespondence: Otto Weingärtner, Department of Basic Research, Dr. Reckeweg & Co. GmbH, Berliner Ring 32, D 64625 Bensheim, Germany.



Homeopathy
Volume 96, Issue 3, July 2007, Pages 220-226
The Memory of Water