Entropy – Charge Admittance

Entropy in Charge Admittance: When Coherence Fails

Overview

In traditional physics, entropy is treated as the inevitable increase in disorder—a statistical arrow of time tied to heat death, irreversible processes, and thermodynamic decay.

But within the Charge Admittance (CA) framework, entropy is reframed not as disorder per se, but as the breakdown of temporal coherence in the field. It marks the boundary where structure dissolves, time loses meaning, and energy becomes directionless. In this view, entropy is not just a passive measure—it is an active collapse of organized energy flow.

Entropy as Coherence Decay

In CA, time emerges from structured energy propagation through a field-lattice. Coherence is the key: a temporally ordered flow of energy that allows standing waves (mass), feedback (inertia), and resonance (charge) to exist.

Entropy occurs when:

The lattice loses phase-locking
Recursive feedback loops degrade
Temporal delay becomes disordered

This is more than randomness. It’s a transition from feedback-defined existence to diffuse, contextless energy. Entropy is what happens when the gears unmesh.

“Entropy is not just heat loss. It is the death of delay—a system’s loss of ability to remember, reflect, or respond.”

Equation Context

$\vec{g} = -\nabla\left(\frac{1}{\varepsilon_0 \mu_0}\right) n$

Energy flows directionally. When coherence fails:

ε₀(x),μ₀(x) become noisy or discontinuous
∇c(x)→0, time halts, gravity flattens
“Where μ₀/ε₀ falls out of quadrature, EM propagation undergoes a phase shift that leads to decoherence and wave collapse — energy disperses instead of converging.”

Entropy is where ∇κ₀ → zero or undefinSidebar: Quadrature Loss as Entropic Trigger

In a coherent field, permittivity (ε₀) and permeability (μ₀) remain in quadrature — maintaining phase-aligned wave propagation. But as local field stress increases or energy gradients steepen, ε₀ and μ₀ may fall out of phase. When that happens, field impedance becomes mismatched, and energy propagation begins to scatter or decohere.

Field impedance lacks structure → energy disperses instead of converging.

This phase mismatch — a breakdown in impedance alignment — acts as a trigger for entropy. Rather than energy continuing along coherent paths, it degrades into local sidebands, thermal noise, or radiative loss. Time, in this view, doesn’t just pass — it unravels as coherence dissolves.ed.

Sidebar: Quadrature Loss as Entropic Trigger
In a coherent field, permittivity (ε₀) and permeability (μ₀) remain in quadrature — maintaining phase-aligned wave propagation. But as local field stress increases or energy gradients steepen, ε₀ and μ₀ may fall out of phase. When that happens, field impedance becomes mismatched, and energy propagation begins to scatter or decohere.
Field impedance lacks structure → energy disperses instead of converging.
This phase mismatch — a breakdown in impedance alignment — acts as a trigger for entropy. Rather than energy continuing along coherent paths, it degrades into local sidebands, thermal noise, or radiative loss. Time, in this view, doesn’t just pass — it unravels as coherence dissolves.

Entropy and Redshift

One of the most important implications:

Redshift is not only a function of velocity or cosmic expansion—it is a signature of coherence loss.

In CA, as a photon moves through varying ε₀ and μ₀ fields, small phase mismatches accumulate. Coherent propagation blurs. Instead of stretching spacetime, the photon’s field integrity diffuses, spreading energy across lower frequencies — a redshift by entropy.

This predicts:

Nonlinear redshift-distance scaling
Field-topology-dependent redshift
Entropy-derived energy loss without Doppler motion

This reframes redshift as a field-induced decoherence function, not necessarily velocity.

Entropy and Structure Limits

Entropy also defines where emergent structures fail to form or hold:

Mass fails when standing energy cannot hold lattice coherence
Inertia vanishes where delay loops cannot persist
Charge becomes unstable without consistent feedback symmetry
Gravitational flow halts when ∇c vanishes across spacetime

Even photons may “die” when decoherence renders them indistinct from ambient field noise. In a maximally entropic region, time ceases, gravity ceases, even identity ceases.

Entropy’s Role in the Emergence Chain

We often imagine entropy as an end state. CA suggests it is also a structural constraint on emergence — the field’s natural friction.

Layer	Description
Energy	Initial asymmetry or field impulse
Time	Emerges via coherent delay loops
Space	Delay organized as geometry
Gravity	Result of ∇c(x): structured energy flow
Mass	Standing coherent oscillations
Charge	Recurring symmetry in feedback
Entropy	Loss of structure, flattening of ∇c, and end of coherence

Entropy is where the field forgets how to build.