A quantum-like model of homeopathy clinical trials: importance of in situ randomization and unblinding

Physicochemical Investigations of Homeopathic Preparations: A Systematic Review and Bibliometric Analysis-Part 3

Objectives: In parts I and II of our review of physicochemical research performed on homeopathic preparations, we identified relevant publications and analyzed the data in terms of individual experiments, looking for the most promising techniques that were used in the past. In this third part, we analyze the results of the experiments seeking to extract information about the possible modes of action underpinning homeopathic preparations. Methods: We summarized the results from the 11 experimental areas previously introduced, extracting the general findings and trends. We also summarized the results in terms of specific research topics: aging, medium used for potentization, sample volume, temperature, material of potentization vessel, and, finally, the use of molecules to probe homeopathic samples. Results: We identified a number of effects that appear consistently throughout the data: Differences to controls seem to increase with: time, moderate temperature, small samples volume, and in ionic medium, whereas high temperatures seem to abolish differences to controls. Based on the present analysis, there is no consistent evidence to date for the nanoparticle hypothesis to explain specific homeopathic treatment effects. However, the quantum coherence domain hypothesis, the dynamic water cluster hypothesis, and the weak quantum theory are still contenders and need to be further assessed experimentally. Conclusions: The field requires further targeted experimentation to validate past findings reporting differences between homeopathic dilutions and controls, and to expand these findings by specifically testing the three main working hypotheses that are currently at hand.

Possible contribution of quantum-like correlations to the placebo effect: consequences on blind trials

Background

Factors that participate in the biological changes associated with a placebo are not completely understood. Natural evolution, mean regression, concomitant procedures and other non specific effects are well-known factors that contribute to the “placebo effect”. In this article, we suggest that quantum-like correlations predicted by a probabilistic modeling could also play a role.

Results

An elementary experiment in biology or medicine comparing the biological changes associated with two placebos is modeled. The originality of this modeling is that experimenters, biological system and their interactions are described together from the standpoint of a participant who is uninvolved in the measurement process. Moreover, the small random probability fluctuations of a “real” experiment are also taken into account. If both placebos are inert (with only different labels), common sense suggests that the biological changes associated with the two placebos should be comparable. However, the consequence of this modeling is the possibility for two placebos to be associated with different outcomes due to the emergence of quantum-like correlations.

Conclusion

The association of two placebos with different outcomes is counterintuitive and this modeling could give a framework for some unexplained observations where mere placebos are compared (in some alternative medicines for example). This hypothesis can be tested in blind trials by comparing local vs. remote assessment of correlations.

'Unconventional' experiments in biology and medicine with optimized design based on quantum-like correlations

In previous articles, a description of 'unconventional' experiments (e.g. in vitro or clinical studies based on high dilutions, 'memory of water' or homeopathy) using quantum-like probability was proposed. Because the mathematical formulations of quantum logic are frequently an obstacle for physicians and biologists, a modified modeling that rests on classical probability is described in the present article. This modeling is inspired from a relational interpretation of quantum physics that applies not only to microscopic objects, but also to macroscopic structures, including experimental devices and observers. In this framework, any outcome of an experiment is not an absolute property of the observed system as usually considered but is expressed relatively to an observer. A team of interacting observers is thus described from an external view point based on two principles: the outcomes of experiments are expressed relatively to each observer and the observers agree on outcomes when they interact with each other. If probability fluctuations are also taken into account, correlations between 'expected' and observed outcomes emerge. Moreover, quantum-like correlations are predicted in experiments with local blind design but not with centralized blind design. No assumption on 'memory' or other physical modification of water is necessary in the present description although such hypotheses cannot be formally discarded. In conclusion, a simple modeling of 'unconventional' experiments based on classical probability is now available and its predictions can be tested. The underlying concepts are sufficiently intuitive to be spread into the homeopathy community and beyond. It is hoped that this modeling will encourage new studies with optimized designs for in vitro experiments and clinical trials.

First evidence of Beauvais' hypothesis in a plant model

INTRODUCTION

Beauvais presented the application of a so-called 'quantum-like model of homeopathy' by introducing the idea of a type of randomization/unblinding which he called 'in situ'. He predicted that randomized studies based on this type of randomization/unblinding lead to more pronounced effects in placebo controlled randomized homeopathic trials. We designed an experiment regarding wheat germination and stalk length to investigate Beauvais' idea of 'in situ randomization/unblinding' using a homeopathic dilution of sulphur (LM VI) as compared to placebo as well as to water.

AIM AND METHOD

The primary aim of this double-blind randomized controlled experiment was to investigate whether there are differences of 'in situ randomization/unblinding' vs 'central randomization/unblinding' with respect to the effect of a homeopathic substance compared to placebo. The secondary aim of our study was to examine possible differences between the sulphur and the placebo group in the 'in situ' arm regarding germination and/or stalk growth of wheat seedlings measured after a seven days exposure. Wheat was treated either with sulphur LM VI, placebo, or water. The wheat grains were placed on glass lids and treatment was performed following the 'in situ randomization/unblinding' as well as 'central randomization/unblinding' method. Germination was measured and classified into three categories.

RESULTS

Under 'in situ' randomization/unblinding the odds of a seed not to germinate is 40% lower if treated with sulphur compared to placebo (p=0.004). In contrast, these odds are practically equal in the 'central' meta-group (OR=1.01, p=0.954). Under 'in situ' randomization/unblinding the odds of a seed to germinate with a length ≥1mm is practically equal if treated with sulphur or with placebo (OR=0.96, p=0.717). In contrast, these odds are 21% higher under sulphur compared to placebo in the 'central' meta-group (OR=1.21, p=0.062). In summary, we found a sulphur effect that is significantly different between 'in situ' and 'central' randomization/unblinding relating to all three stages of germination.

Observations on entanglement, non-locality and ultra-high dilutions

INTRODUCTION

Fundamental research into the scientific basis of the manufacture of ultra-high dilutions and their working in applications has evolved over the past twenty years since our last critical analysis of the field was published in 1994. New contenders from the realm of physics (entanglement, non-locality) have entered the scene. The vast majority within the community of the application of ultra-high dilutions are not physicists. This paper attempts to elucidate the concepts of entanglement, non-locality and their application in ultra-high dilution research (UHD).

METHOD

A selected study on the activity of fundamental research into UHD is performed to gain insight into trends of development activity of fundamental research in this area. In an attempt to nurture further development of theoretical models in fundamental research in UHD, an attempt is made to made recent theoretical concepts more accessible to the larger community including practitioners, policy makers and beneficiaries of UHD.

RESULTS

Fundamental research in UHD had a period of prolific activity and recognition at the turn of the millennium until about ten years ago. Since then, research output as well as its recognition receded sharply suggesting that a period of reflection and consolidation may be in progress.

CONCLUSION

The study and the knowledge gained from more recent theoretical models in UHD and entanglement suggest that there may be some benefit in stocktaking of what we really know about the fundamental workings of UHD as well as identifying or developing models that include measurable predictors that go beyond metaphorical descriptors.