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Executive Summary
- Context and Motivation
Life is not simply a chemical or mechanical process — it is a self-organizing system that transforms resistance into rhythm, and rhythm into memory. Traditional thermodynamics treats resistance as loss; the Energy Resistance Principle (ERP) reframed it as a necessary boundary shaping biological efficiency. The Energy Coherence Principle (ECP) went further, revealing that health and evolution depend on phase synchrony among flows of energy and information.
The Hinductive Coherence Principle (HCP) completes this evolutionary arc. By integrating Bandyopadhyay’s hinductor — a helical circuit element that generates magnetic vortices proportional to the second derivative of stored charge — the HCP models life as a memory-bearing impedance network capable of learning from its own dynamics.
- Conceptual Foundation
The hinductive framework extends the impedance equation of classical physics:
Zeff = R + j(ωL – 1/ωC + ω2H)
to include hinductance (H), which captures the feedback geometry between charge, magnetic flux, and curvature.
- R represents dissipative resistance (entropy, inflammation, friction).
- L embodies inductive inertia (stability, tradition, momentum).
- C encodes capacitive potential (memory, storage, adaptability).
- H integrates hinductive remembrance (learning, evolution, coherence through time).
When phase angle and , systems achieve coherence: efficient transformation with minimal waste. Across scales, this is experienced as vitality, clarity, compassion, and creativity.
- Empirical and Cross-Domain Synthesis
The HCP unites diverse phenomena under one energetic grammar:
- Physics: Nonlinear impedance behavior in helical nanostructures (hinductive vortex loops).
- Biology: Mitochondrial and microtubular resonance bands following triplet-of-triplet symmetry.
- Medicine: Fascial and neural phase coupling predicting health and resilience.
- Psychology: Coherence between physiological and affective states as a signature of wellbeing.
- Society: Institutions functioning as collective hinductive circuits — learning, remembering, and reforming through feedback.
Each system maintains coherence by dynamically modulating its resistance, reactance, and hinductance to sustain efficient phase relationships among flows of energy, matter, and meaning.
- Ethical and Civilizational Implications
At the societal level, resistance manifests as inequity, bureaucracy, and fragmentation; reactance as polarization and latency; and hinductance as wisdom and moral learning.
Regenerative governance thus requires enhancing collective hinductance — embedding history, empathy, and feedback into decision-making processes. The same mathematics that describes coherence in a cell can, when scaled, guide the coherence of civilization.
The HCP redefines progress as reducing impedance between self and world. It calls for a new science of coherence that measures success not by accumulation, but by resonance — the degree to which systems sustain flow without fragmentation.
- The Regenerative Horizon
The Hinductive Coherence Principle points toward a new covenant between science and spirit:
- Science measures coherence.
- Ethics preserves coherence.
- Art and culture express coherence.
- Governance and economy distribute coherence.
As energy becomes mindful and meaning becomes measurable, humanity’s future lies in remembering how to resonate — transforming resistance not into domination, but into the radiant geometry of regeneration.
