STUDY: Speed of Energy Range
Abstract
This study establishes the methodological framework for quantifying the dynamic range of energy propagation velocities across varying substrate parameters. By evaluating Maxwell's classical field equations independently of relativistic invariance constraints, we map local variance in vacuum permittivity (\(\epsilon_0\)) and permeability (\(\mu_0\)) to establish the true physical boundaries of wave transmission speeds.
Introduction
Mainstream electromagnetic theory treats vacuum permittivity and permeability as rigid, uniform constants dictating an unalterable propagation speed. Within the Resonant Relativity framework, the vacuum functions as a reactive transmission medium whose localized field properties fluctuate based on local impedance loading and substrate density. This investigation compiles parameter variations across powers of ten, anchored to a normalized baseline, to calculate the operational spectrum of transmission rates and test for mechanical limits.
Parameter Matrix
| Step | \( \epsilon_0 \) (F/m) | \( \mu_0 \) (H/m) | \( \sqrt{\epsilon_0} \) | \( \sqrt{\mu_0} \) | \( Z_0 = \sqrt{ \frac{\mu_0}{\epsilon_0}} \) | \( c \) (m/s) |
|---|---|---|---|---|---|---|
| -3 | 1.0000E-15 | 1.4193E-10 | 3.1623E-08 | 1.1913E-05 | 3.7673E+02 | 2.6544E+12 |
| -2 | 1.0000E-14 | 1.4193E-09 | 1.0000E-07 | 3.7673E-05 | 3.7673E+02 | 2.6544E+11 |
| -1 | 1.0000E-13 | 1.4193E-08 | 3.1623E-07 | 1.1913E-04 | 3.7673E+02 | 2.6544E+10 |
| Center | 1.0000E-12 | 1.4193E-06 | 1.0000E-06 | 3.7673E-04 | 3.7673E+02 | 2.6544E+09 |
| Ref | 8.8542E-12 | 1.2566E-06 | 2.9756E-06 | 1.1210E-03 | 3.7673E+02 | 2.9979E+08 |
| +1 | 1.0000E-11 | 1.4193E-05 | 3.1623E-06 | 3.7673E-03 | 3.7673E+02 | 2.6544E+08 |
| +2 | 1.0000E-10 | 1.4193E-04 | 1.0000E-05 | 1.1913E-02 | 3.7673E+02 | 2.6544E+07 |
| +3 | 1.0000E-09 | 1.4193E-03 | 3.1623E-05 | 3.7673E-02 | 3.7673E+02 | 2.6544E+06 |