The Journal of Alternative and Complementary Medicine
Toward Topological Descriptions of the Therapeutic Process: Part 3. Two New Metaphors Based on Quantum Superposition, Wave Function “Collapse,” and Conic Sections
INTRODUCTION: Quantum theoretical discourse has previously illustrated (1) the therapeutic process as three-way macro-entanglement (between patient, practitioner, and remedy, called PPR entanglement), and (2) depicted the Vital Force (Vf) as a quantized spinning gyroscope. Combining the two via semiotic geometry leads to a topological description of the patient's journey to cure. In this present article, two new metaphors for the homeopathic therapeutic encounter are described, based on (1) a quantum mechanical model of adaptive mutation (QMAM), and (2) the illuminated geometric patterns generated by a light source attached to a spinning gyroscope. METHODS: (1) QMAM demonstrates how quantum superposition between DNA and mutant adaptations could arise and how environmental pressure "collapses" the DNA wave function to a particular state. In QMAM for the therapeutic process, isolation helps induce coherence between patient, practitioner, and remedy, generating a quantum-like superposition of patient "unwell" and "well" states. (2) The light beam from a precessing gyroscope sweeps out an ellipse, which becomes circular, the faster the gyroscope spins on its axis and the less it precesses. Ellipses have two foci that, as a metaphor for the state of a patient's Vf, are seen to represent the patient's "unwell" and "well" states. RESULTS: Superposition of the patient's "unwell" and "well" states generated by the QMAM metaphor can "collapse" to the cured state, following decoherence at the end of therapeutic process. Similarly, the curative therapeutic process may be thought to "spin up" the patient's Vf, so the precessing ellipse's foci (i.e., the patient's "unwell" and "well" states) merge into a "circular" curative state. CONCLUSIONS: The two new metaphors may be seen as equivalent and semiotic simplifications of the previous more complex topological description of the patient's "journey to cure."
INTRODUCTION: Quantum theoretical discourse has previously illustrated (1) the therapeutic process as three-way macro-entanglement (between patient, practitioner, and remedy, called PPR entanglement), and (2) depicted the Vital Force (Vf) as a quantized spinning gyroscope. Combining the two via semiotic geometry leads to a topological description of the patient's journey to cure. In this present article, two new metaphors for the homeopathic therapeutic encounter are described, based on (1) a quantum mechanical model of adaptive mutation (QMAM), and (2) the illuminated geometric patterns generated by a light source attached to a spinning gyroscope. METHODS: (1) QMAM demonstrates how quantum superposition between DNA and mutant adaptations could arise and how environmental pressure "collapses" the DNA wave function to a particular state. In QMAM for the therapeutic process, isolation helps induce coherence between patient, practitioner, and remedy, generating a quantum-like superposition of patient "unwell" and "well" states. (2) The light beam from a precessing gyroscope sweeps out an ellipse, which becomes circular, the faster the gyroscope spins on its axis and the less it precesses. Ellipses have two foci that, as a metaphor for the state of a patient's Vf, are seen to represent the patient's "unwell" and "well" states. RESULTS: Superposition of the patient's "unwell" and "well" states generated by the QMAM metaphor can "collapse" to the cured state, following decoherence at the end of therapeutic process. Similarly, the curative therapeutic process may be thought to "spin up" the patient's Vf, so the precessing ellipse's foci (i.e., the patient's "unwell" and "well" states) merge into a "circular" curative state. CONCLUSIONS: The two new metaphors may be seen as equivalent and semiotic simplifications of the previous more complex topological description of the patient's "journey to cure."
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 Entelechy (e.g., Hahnemann’s Vital Force, Vf), bears striking similarities to certain properties of quantum systems. Thus, the Vf is only indirectly observable via (centrifugally) expressed symptoms: a quantum property is only indirectly observable via its experimental effects. Consequently, a quantised Vf ‘gyroscopic’ metaphor is proposed where ‘axial’ rotation (represented by a wavefunction) undergoes dis-ease-induced retardation leading to Vf ‘precession’, i.e., symptom expression. Remedy-induced acceleration of axial rotation results in cure, via centrifugal removal of dis-ease, so precession/symptom expression ceases. The Vf ‘gyroscope’ is considered quantised partly because patients are observed during ‘discreet’ appointments, not continuously. Objective To develop this metaphor further by generating wavefunctions to represent the Vf in various states of dis-ease and health. Method Three wavefunctions are generated from secondary symptoms exhibited by the patient’s Vf, as observed by the practitioner. Three more wave functions are generated from analogous (unobserved) hypothetical states, representing the Vf evolving from health into a precursor dis-eased state. Results and discussion The evolution of therapeutic/dis-ease processes are imagined as transformations between these Vf wavefunctions, visualised as patient states on six of the nine points of an enneagram. The remaining three points represent practitioner states, ‘entangled’ with these processes. The Vf states may be divided into two groups - one indirectly observable via expressed symptoms, the other hypothetical - separated by a notional therapeutic ‘event horizon’. The practitioner, Janus-like, manages the therapeutic process by ‘negotiating’ between these two groups. Conclusion An interpretation of quantum theory called QBism (i.e., Quantum Bayesianism, in which a wavefunction represents only the total subjective information available to an assigning agent, not a shared separate objective reality), suggests these various Vf wavefunctions could represent Chalmers-like non-reductive information states, proposed as starting points for considering the influence of consciousness on the therapeutic process.
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.
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.
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.
BACKGROUND: Signs and symptoms of dis-ease are considered observable manifestations of an immaterial Vital Force. Likewise, experimental results on quantum systems are thought to indicate the presence of something that does not show up. Consequently, the discourse of conventional quantum theory (CQT) - with non-locality and entanglement being objective (i.e., ontic) facets of reality - has been considered a useful metaphor for the therapeutic process (TP) in homeopathy/CAMs. Thus, Patient-Practitioner-Remedy (PPR) entanglement postulated an ontic non-local interaction between patient (Px), practitioner (Pr), and potentised medicine/curative procedure (Rx), resulting in the patient's "journey to cure." QBism is a new epistemic interpretation of quantum theory. Rooted in the subjectivity of Bayesianism, QBism refutes the notion that the quantum state of a system is a separate ontic property of reality. In QBism, non-locality and entanglement are considered an agent's "subjective degrees of belief," i.e., they are personally epistemic. OBJECTIVE: To examine whether previous CQT-based entanglement metaphors for the therapeutic process need re-evaluation in the light of QBism. METHOD: Px and Rx quantum states/wavefunctions - ΨPx, and ΨRx - are reinterpreted in QBist terms. Unlike CQT, this means each quantum state/wavefunction is postulated to represent only the local subjective "degrees of belief" of an agent who in this case, is the Pr. RESULTS AND CONCLUSION: Compared to earlier CQT quantum entanglement metaphors, QBism's interpretation of the probabilities inherent in the Px and Rx quantum state/wavefunctions are Bayesian and subjective. Their resulting highly personal epistemology makes them more aligned with (and therefore potentially more useful to) how practitioners might experience the evolution of the TP. Also, because QBism predicts non-locality and entanglement can only be subjective properties of a practitioner's own beliefs, the overall significance of previous ontic non-local CQT-based entanglement metaphors for the TP is questioned.