Quasi-quantum model of potentization.

Area of Science:

• Homeopathy
• Mathematical Modeling
• Quantum Phenomena

Background:

• Homeopathic dilution and potentization involve serial dilution and succussion.
• The concentration of the solvent and active substance changes over time during potentization.
• Existing models do not fully capture the dynamics of potentization.

Purpose of the Study:

• To derive analytical time-dependent functions for solvent (S(t)) and active substance (A(t)) concentrations during homeopathic dilution.
• To model the solvent concentration increase during potentization using a growth curve analogy.
• To connect potentization to quasi-quantum phenomena and validate with experimental data.

Main Methods:

• Derivation of time-dependent functions for S(t) and A(t) in decimal and centesimal dilutions.
• Identification of S(t) as a special case of the West-Brown-Enquist curve.
• Demonstration of S(t) as a solution to the Horodecki-Feinberg equation with a Hulthèn potential.
• Comparison of model predictions with delayed luminescence experiments of homeopathic medicine.

Main Results:

• Analytical functions for S(t) and A(t) were successfully derived.
• The solvent concentration increase during potentization was shown to follow a biological growth pattern.
• The macroscopic solvent function S(t) was linked to a microscopic quantum equation.
• The model showed good agreement with experimental delayed luminescence data.

Conclusions:

• Homeopathic potentization exhibits characteristics of quasi-quantum phenomena.
• The derived mathematical model provides a novel framework for understanding homeopathic processes.
• The findings suggest a potential link between homeopathy, biological growth, and quantum mechanics.