THE HUBBLE ATTENUATION
Abstract
In Resonant Relativity, the observed redshift of distant light is not a Doppler shift indicative of a receding velocity, but a dissipative loss inherent to the propagation of energy through a non-ideal vacuum medium. By rebranding the Hubble Constant as a linear attenuation coefficient, we eliminate the requirement for "Dark Energy" and treat the cosmological redshift as a standard impedance-based energy decay.
The Transmission Line Analog
If the vacuum is a dielectric medium with a finite impedance \(Z_0\), then electromagnetic propagation must be subject to the same laws as a transmission line. In any physical medium, energy is not transported with 100% efficiency over infinite distances. The "Hubble Constant" is effectively the leakage conductance of the vacuum lattice.
The Attenuation Equation
In a standard dissipative system, the intensity of energy \(I\) over a distance \(r\) decays according to the following relation:
\[ I(r) = I_0 e^{-\alpha r} \]Where \(\alpha\) is the attenuation coefficient. In the current paradigm, the Hubble relation is expressed as:
\[ v = H_0 D \]Resonant Relativity replaces this velocity-based linear approximation with a frequency-shift decay. The "redshift" \(z\) is simply the cumulative loss of photon energy into the vacuum lattice (the Substrate) over distance:
\[ z = \frac{\Delta \lambda}{\lambda} = e^{\frac{H_0}{c}r} - 1 \]Calibration of the Scope
By treating \(H_0\) as a property of the Substrate rather than a metric of expansion, we resolve the "Hubble Tension." The variation in measured values of \(H_0\) across different distances is not a mystery of cosmic evolution, but a predictable result of varying lattice density in different regions of space.
Under this framework, the universe is not "growing" into nothing; the signal is simply "fading" into the noise floor of the background medium.