Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Homeopathy

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

Francis Beauvais

Published Apr 1, 2013• 18 citations
Publisher

Abstract

BACKGROUND: The randomized controlled trial (RCT) is the 'gold standard' of modern clinical pharmacology. However, for many practitioners of homeopathy, blind RCTs are an inadequate research tool for testing complex therapies such as homeopathy. METHODS: Classical probabilities used in biological sciences and in medicine are only a special case of the generalized theory of probability used in quantum physics. I describe homeopathy trials using a quantum-like statistical model, a model inspired by quantum physics and taking into consideration superposition of states, non-commuting observables, probability interferences, contextuality, etc. RESULTS: The negative effect of blinding on success of homeopathy trials and the 'smearing effect' ('specific' effects of homeopathy medicine occurring in the placebo group) are described by quantum-like probabilities without supplementary ad hoc hypotheses. The difference of positive outcome rates between placebo and homeopathy groups frequently vanish in centralized blind trials. The model proposed here suggests a way to circumvent such problems in masked homeopathy trials by incorporating in situ randomization/unblinding. CONCLUSION: In this quantum-like model of homeopathy clinical trials, success in open-label setting and failure with centralized blind RCTs emerge logically from the formalism. This model suggests that significant differences between placebo and homeopathy in blind RCTs would be found more frequently if in situ randomization/unblinding was used.

DOI
10.1016/j.homp.2013.02.006

Related papers

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

Francis Beauvais

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.

Theoretical Biology and Medical Modelling•Jun 2, 2017•6 citations

Entanglement, Knowledge, and Their Possible Effects on the Outcomes of Blinded Trials of Homeopathic Provings

Lionel R. Milgrom

INTRODUCTION: In two recent studies of double-blind placebo-controlled homeopathic provings, entanglement was reported to have occurred between verum and placebo arms of the trials. This contrasts directly with the entanglement-disrupting effects of blinding, recently proposed as the reason for the failure of randomized controlled trials (RCTs) to demonstrate unequivocally the efficacy of homeopathy. It is proposed here that such entanglement between remedy and placebo during these double-blind placebo controlled provings is the direct result of the blinding process. METHOD: A previously developed theoretical model of entanglement in homeopathy among patient, practitioner, and remedy (called PPR entanglement) was used in this investigation. RESULTS: In agreement with the results from the proving studies, the model predicts that application of the double-blind RCT methodology to homeopathic provings leads to entanglement between both remedy and placebo arms of the trial. CONCLUSIONS: These theoretical findings can be understood in terms of the act of blinding leading to loss of information because of quantum-like state superposition of the verum and placebo proving groups. This is compared to conclusions drawn from the well-known double-slit experiment of quantum physics, and quantum information processing. It leads to a suggestion for testing entanglement in homeopathic provings.

The Journal of Alternative and Complementary Medicine•Apr 1, 2006•19 citations

Memory of water and blinding

Francis Beauvais

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.

Homeopathy•Jan 1, 2008•17 citations

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

Francis Beauvais

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.

Homeopathy•Feb 1, 2017•5 citations

Treating Leick with like: response to criticisms of the use of entanglement to illustrate homeopathy

Lionel R. Milgrom

In criticising papers which recently appeared in Homeopathy, Leick claims that no double blind randomised clinical trials (DBRCTs) show that homeopathy is efficacious, and that specific effects of substances diluted beyond Avogadro's limit are implausible. He states that generalised entanglement models should be able to improve the design of experiments to test ultra-high dilutions, and disparages the authors' understandings of quantum physics. The paper responds to those criticisms. Several DBRCTs have shown that homeopathy has effects which are not due to placebo and these are now supported by preclinical work. This area of theory is in its infancy and it is unreasonable to expect it to have generated experiments at this stage. The authors have used accepted interpretations of quantum theory: Leick's view is coloured by skepticism concerning homeopathy.

Homeopathy•Apr 1, 2008•14 citations

Quantum Theory Methods as a Possible Alternative for the Double-Blind Gold Standard of Evidence-Based Medicine: Outlining a New Research Program

Diederik Aerts, Lester Beltran, Suzette Geriente +4 more

We motivate the possibility of using notions and methods derived from quantum physics, and more specifically from the research field known as ‘quantum cognition’, to optimally model different situations in the field of medicine, its decision-making processes and ensuing practices, particularly in relation to chronic and rare diseases. This also as a way to devise alternative approaches to the generally adopted double-blind gold standard.

arXiv:1810.13342•Foundations of Science•Dec 4, 2018•3 citations
BACKGROUND: The randomized controlled trial (RCT) is the 'gold standard' of modern clinical pharmacology. However, for many practitioners of homeopathy, blind RCTs are an inadequate research tool for testing complex therapies such as homeopathy. METHODS: Classical probabilities used in biological sciences and in medicine are only a special case of the generalized theory of probability used in quantum physics. I describe homeopathy trials using a quantum-like statistical model, a model inspired by quantum physics and taking into consideration superposition of states, non-commuting observables, probability interferences, contextuality, etc. RESULTS: The negative effect of blinding on success of homeopathy trials and the 'smearing effect' ('specific' effects of homeopathy medicine occurring in the placebo group) are described by quantum-like probabilities without supplementary ad hoc hypotheses. The difference of positive outcome rates between placebo and homeopathy groups frequently vanish in centralized blind trials. The model proposed here suggests a way to circumvent such problems in masked homeopathy trials by incorporating in situ randomization/unblinding. CONCLUSION: In this quantum-like model of homeopathy clinical trials, success in open-label setting and failure with centralized blind RCTs emerge logically from the formalism. This model suggests that significant differences between placebo and homeopathy in blind RCTs would be found more frequently if in situ randomization/unblinding was used.
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.
INTRODUCTION: In two recent studies of double-blind placebo-controlled homeopathic provings, entanglement was reported to have occurred between verum and placebo arms of the trials. This contrasts directly with the entanglement-disrupting effects of blinding, recently proposed as the reason for the failure of randomized controlled trials (RCTs) to demonstrate unequivocally the efficacy of homeopathy. It is proposed here that such entanglement between remedy and placebo during these double-blind placebo controlled provings is the direct result of the blinding process. METHOD: A previously developed theoretical model of entanglement in homeopathy among patient, practitioner, and remedy (called PPR entanglement) was used in this investigation. RESULTS: In agreement with the results from the proving studies, the model predicts that application of the double-blind RCT methodology to homeopathic provings leads to entanglement between both remedy and placebo arms of the trial. CONCLUSIONS: These theoretical findings can be understood in terms of the act of blinding leading to loss of information because of quantum-like state superposition of the verum and placebo proving groups. This is compared to conclusions drawn from the well-known double-slit experiment of quantum physics, and quantum information processing. It leads to a suggestion for testing entanglement in homeopathic provings.
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.
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.
In criticising papers which recently appeared in Homeopathy, Leick claims that no double blind randomised clinical trials (DBRCTs) show that homeopathy is efficacious, and that specific effects of substances diluted beyond Avogadro's limit are implausible. He states that generalised entanglement models should be able to improve the design of experiments to test ultra-high dilutions, and disparages the authors' understandings of quantum physics. The paper responds to those criticisms. Several DBRCTs have shown that homeopathy has effects which are not due to placebo and these are now supported by preclinical work. This area of theory is in its infancy and it is unreasonable to expect it to have generated experiments at this stage. The authors have used accepted interpretations of quantum theory: Leick's view is coloured by skepticism concerning homeopathy.