The evolution of biophysical understanding has passed through three paradigms: the Energy Resistance Principle (ERP), the Energy Coherence Principle (ECP), and now the Hinductive Coherence Principle (HCP). Each marks a deepening realization of how life sustains itself against entropy through self-tuning, memory-bearing geometries of flow.
Building on Picard and Murugan’s ERP, which modeled biological health as energy flow constrained by resistance, and extending through the ECP, which reframed vitality as resonance between structure and flux, the HCP introduces hinductance (H) — the fourth circuit element discovered by Anirban Bandyopadhyay. This element produces magnetic vortex flux proportional to the rate of change of stored charge, embedding geometric memory and adaptive learning into the dynamics of energy transformation.
The inclusion of hinductance completes the universal impedance equation:
Zeff = R + j(ωL – 1/ωC + ω2H)
Here, resistance (R), inductance (L), capacitance (C), and hinductance (H) co-define a system’s total impedance (Z) and phase relationship (θ), with coherence efficiency (η = cos θ) serving as a unifying measure of health, adaptability, and integrity across scales — from mitochondria to societies.
This paper proposes that the HCP offers a universal framework for understanding how energy becomes information and how information becomes meaning. It bridges physics, biology, psychology, and governance through a shared language of impedance, resonance, and feedback memory. By extending hinductive dynamics into socio-ecological and ethical systems, the model redefines sustainability as phase alignment between metabolism, mind, and morality.
Ultimately, the HCP points to a regenerative science of coherence in which resistance is not merely overcome but remembered and transmuted — revealing life, consciousness, and civilization as nested expressions of one cosmic act of self-resonant learning.
