Mass as Crystallized Energy: Field Density, the Charge Admittance Model
Abstract
In the Charge Admittance (CA) framework, mass is not an intrinsic property of matter, but a localized condition arising from energy interacting with variations in vacuum field properties. This paper explores the hypothesis that mass emerges from energy propagating through regions of increased electromagnetic field density, specifically via gradients in the vacuum’s permittivity (ε0) and permeability (μ0). Building upon the equivalence and the electromagnetic definition , this model suggests that as energy encounters denser μ0ε0 regions, it is effectively “slowed,” confined, and made interactive with charge, thus manifesting as touchable, inertial mass.
Introduction
Conventional models treat mass and energy as interchangeable via Einstein’s famous equivalence, but the mechanism for transitioning between the two remains phenomenological rather than structural. In the CA model, gravity and inertia are not products of spacetime curvature or intrinsic mass, but of how energy propagates through a vacuum whose properties vary spatially. This offers a physical substrate for mass emergence.
Energy Propagation in Structured Vacuum
Maxwell’s relation for the speed of light is:
c2 = 1/μ0ε0
This implies that the propagation speed of energy depends on the local field impedance of the vacuum. In CA, we assert that regions of altered energy density—produced by charge deficits, dipole fields, or vacuum stress—create local variations in μ0 and ε0, which in turn alter .
Energy-Mass Equivalence in Field Terms
Rewriting Einstein’s equivalence:
E = mc2 = m(1/μ0ε0)
From this, mass can be interpreted as a standing wave condition in a medium where is increased. As energy becomes constrained by the lower local propagation speed, its wave characteristics become confined, forming localized resonances that manifest as rest mass.
Field Density and Mass Crystallization
Just as photons slow in dielectric media due to interaction with material polarizability, free energy in vacuum may similarly slow—and even localize—when μ0ε0 increases. This supports a model in which mass is a crystallized or condensed form of energy, locked into position by dense field impedance.
The field strength gradients (dc/dx) associated with these high-impedance zones also explain gravitational-like accelerations without invoking spacetime curvature:
Gv = – (dc/ dx)
Tangibility and Charge Concentration
In this model, “touching” mass corresponds to encountering the boundary conditions where energy has condensed due to impedance. These boundaries carry persistent charge effects—electrostatic and magnetic—which generate resistance to penetration or overlap. Tangibility is thus interpreted as localized charge force concentrations stabilized by vacuum impedance.
Conclusion
The CA model reframes mass as an emergent feature of structured vacuum dynamics. Local increases in field density act as traps for propagating energy, converting it into bound states we observe as matter. This provides a conceptual and mathematical path linking vacuum field theory, gravity, and mass-energy equivalence into a unified, testable hypothesis.
Keywords
mass emergence, energy propagation, vacuum impedance, field density, μ0ε0 gradient, crystallized energy, Charge Admittance theory