SYMBOL: Resonance - \(\omega_0\)

Abstract

In this theory, resonance is the state where the reactive components of the medium allow for maximum energy transfer with minimum impedance mismatch.

Resonance as Impedance Matching

In standard electrical engineering, resonance occurs when the inductive reactance \(X_L\) and capacitive reactance \(X_C\) are equal in magnitude but opposite in phase, canceling each other out:

When \(X_L = X_C\), the impedance \(Z\) is equal to the resistance \(R\). Resonant Relativity defines the "Vacuum" as a lattice tuned to a specific resonant frequency, where the speed of light \(c\) is a function of this tuning.

The Symbol: \(\omega_0\)

We define the Fundamental Resonant Frequency of the substrate as \(\omega_0\). This is the "clock speed" of the universe. Any energy propagated through the medium that does not match the harmonics of \(\omega_0\) results in the dissipative losses we identified as the Hubble Attenuation.

Agreement of Terms

By "Resonance," we specifically refer to the Admittance of the vacuum—the ease with which the substrate "accepts" and "passes" an electromagnetic wave. If the wave is out of phase with the lattice, it is resisted; if it is in resonance, it is propagated.