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Complementary Medicine Research

Towards a New Model of the Homeopathic Process Based on Quantum Field Theory

Lionel R. Milgrom

Published Jan 1, 2006• 14 citations
Publisher

Abstract

BACKGROUND: Quantum theory's notions of non-locality and entanglement have previously informed attempts to model the therapeutic process. Of these, Weak Quantum Theory (WQT) and Patient- Practitioner-Remedy (PPR) entanglement are developing into mathematically- based models of homeopathy. OBJECTIVE: The present study attempted to identify fundamental concepts within quantum field theory (QFT) that could be used to broaden the scope of PPR entanglement models, prior to constructing a more rigorous mathematical treatment. METHODS: In QFT, particles and forces are considered as fully interacting relativistic quantum matter and force fields, respectively. These interactions are visualized graphically as spacetime Feynman diagrams. Further, these interacting field systems can have ground states with broken symmetry; the so-called Higgs field being responsible for this symmetry breaking. In the new model, patient, practitioner and remedy are imagined as fully interacting quantum-like fields; patients and practitioners in terms of quantum matter-type fields, and remedies and diseases as quantum interaction-type fields. RESULTS: Disease manifestation by the Vital Force (Vf) could be an event similar to spontaneous symmetry breaking in QFT: the curative remedy acting to restore the broken symmetry of the Vf field. Entanglement between patient, practitioner, and remedy might be representable as Feynman-like diagrams. CONCLUSION: QFT demonstrates that quantum properties can be physical without being observable. Thus, an underlying similarity in discourse could exist between homeopathy and quantum theory which could be useful for modelling the homeopathic process. This preliminary investigation also suggested that key elements of previous quantum models of the homeopathic process, may become unified within this new QFT-type approach.

DOI
10.1159/000093662

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Homeopathy•Apr 1, 2004•14 citations
BACKGROUND: Quantum theory's notions of non-locality and entanglement have previously informed attempts to model the therapeutic process. Of these, Weak Quantum Theory (WQT) and Patient- Practitioner-Remedy (PPR) entanglement are developing into mathematically- based models of homeopathy. OBJECTIVE: The present study attempted to identify fundamental concepts within quantum field theory (QFT) that could be used to broaden the scope of PPR entanglement models, prior to constructing a more rigorous mathematical treatment. METHODS: In QFT, particles and forces are considered as fully interacting relativistic quantum matter and force fields, respectively. These interactions are visualized graphically as spacetime Feynman diagrams. Further, these interacting field systems can have ground states with broken symmetry; the so-called Higgs field being responsible for this symmetry breaking. In the new model, patient, practitioner and remedy are imagined as fully interacting quantum-like fields; patients and practitioners in terms of quantum matter-type fields, and remedies and diseases as quantum interaction-type fields. RESULTS: Disease manifestation by the Vital Force (Vf) could be an event similar to spontaneous symmetry breaking in QFT: the curative remedy acting to restore the broken symmetry of the Vf field. Entanglement between patient, practitioner, and remedy might be representable as Feynman-like diagrams. CONCLUSION: QFT demonstrates that quantum properties can be physical without being observable. Thus, an underlying similarity in discourse could exist between homeopathy and quantum theory which could be useful for modelling the homeopathic process. This preliminary investigation also suggested that key elements of previous quantum models of the homeopathic process, may become unified within this new QFT-type approach.
The notion of patient-practitioner-remedy (PPR) entanglement, previously proposed for homeopathy, is refined by adapting concepts derived from Greenberger, Horne, and Zeilinger's treatment of three-particle entanglement (GHZ states), and a generalised version of quantum theory, called weak quantum theory (WQT). These suggest that for maximum PPR entanglement during the therapeutic encounter, the practitioner's awareness needs to be directed inward as well as outward toward the patient, and that health and disease are mirror images of each other, similar to and represented by, the relationship of complex numbers to their complex conjugates.
The possibility of classifying and unifying some of the recent entanglement models for homeopathy is discussed. Unification involves combining the previous GHZ/WQT-based entanglement model, itself a fusion of Greenberger-Horne-Zeilinger (GHZ) three-particle entanglement and a generalised version of quantum theory, called Weak Quantum Theory (WQT), with Walach's semiotic model involving double entanglement. The new combined model invokes a 'geometry' of patient-practitioner-remedy (PPR) entanglement embedded in a therapeutic state space.
BACKGROUND: One of the principle obstacles to homeopathy's general acceptance has been its perceived lack of sound theoretical basis within accepted deterministic bio-medical thought. This impasse might be circumvented if instead, appeal was made to the nondeterministic concepts of the physical sciences, e.g., quantum theory and its notions of entanglement, nonlocality, and uncertainty; Weak Quantum Theory (WQT) and Patient-Practitioner-Remedy (PPR) Entanglement representing two new complementary strands of thought with the potential to create a new theoretical basis for homeopathy. OBJECTIVE: The goal of this present study was to generate a preliminary mathematical model of the action and reaction of the Vital Force to diseases and remedies within the developing contexts of WQT and PPR Entanglement, based on the metaphor of a hypothetical 'quantized' gyroscope as its physical representation. METHODS: The physics of gyroscopic motion was combined with the quantum theory describing rotating objects (without some of its imposed limitations, e.g., Planck's constant, in line with the relaxation of some of orthodox quantum theory's axioms as proposed by WQT). Thus, increase or decrease in the rate of spin of the Vital Force's hypothetical gyroscope was described in terms of quantized 'shift operators' constructed mathematically from the known 'complementarity' of a remedy's primary and secondary symptoms, expressed in the notation of complex numbers. Ultimately, this generates a hypothetical 'wave function' for the Vital Force. RESULTS: This hypothetical 'wave function' has been used to illustrate certain empirical observations of homeopathy and conventional medicine, e.g., the biphasal action of remedies encapsulated in the Arndt-Schulz Law, Wilder's Law of Initial Value, and some of the results of homeopathic provings. CONCLUSION: This preliminary theoretical analysis suggests that perhaps these less well-known empirical observations should be reinvestigated and, if confirmed, could begin ultimately to provide a much-needed alternative to the doubleblind placebo-controlled trial as a means of investigating and testing the efficacy of homeopathy.
INTRODUCTION: Two (2) quantum theoretically based metaphor/models have been proposed recently to describe the therapeutic process in homeopathy in terms of (1) a representation of the vital force (Vf) as a spinning quantized gyroscope, describable as a wave function; and (2) a form of nonorthodox quantum theoretical entanglement (called PPR entanglement) between the patient, practitioner, and remedy. METHOD: Combining these two descriptions permits "normalization" of the Vf gyroscopic wave function. In this context, "normalization" refers to the probability of a patient's symptom totality being expressed and observable to the practitioner within a "therapeutic state space" that has mirror-like characteristics. RESULTS: The Vf gyroscopic wave function contains a constant A related to this symptom totality and its expression. Normalization provides values for A at various stages of the patient's journey to cure, while at the same time suggesting a possible Möbius strip-like "topology" for the practitioner-derived "therapeutic state space." CONCLUSIONS: Changes in the value of A on normalization indicate how expression of symptom totality varies at different stages of the patient's journey to cure, while suggesting a "topology" for the therapeutic process and how the practitioner could be affected by it.
BACKGROUND: In the previous paper, a relatively new interpretation of quantum theory called quantum Bayesianism or QBism was introduced as an alternative quantum metaphor for the therapeutic process (TP). This is because previous metaphors have been based on conventional quantum theory (CQT) and its notion that quantum states belong to a strongly objective shared reality. QBism says no: quantum states are subjective degrees of belief made by the individual agents assigning those states. This suggests QBism's explicit subjectivity is more in line with practitioners' (Pr) and patient's (Px) implicitly subjective TP experience. OBJECTIVE: The objective was to investigate the impact on this suggestion of a gyroscopic model of the vital force, Vf. METHOD: Based on an original starting wavefunction for the Vf, a sequence of equations and transformations between them are generated and then interpreted as the Vf interacting with and moving into and out of disease (Dx) states, in essence, a physics of health. RESULTS AND CONCLUSION: These equations and their transformations manage to predict (a) homeopathic aggravation from the curative remedy (Rx), and (b) the logic behind Hahnemann's development of the LM potencies. Further, displaying these equations and their interactions pictorially and geometrically (as a stellated octahedron) suggests that the recently developed gyroscopic model for the Vf supports a metaphor for the TP (based on the subjectivity explicit in QBism) that is indeed viable and potentially superior to previous metaphors based on the strong objectivity of CQT.