REQUIREMENT: Redshift
Signal Fatigue in a Reactive Substrate
Legacy cosmology interprets Redshift (z) as a Doppler effect—a literal "Recession Velocity." Resonant Relativity identifies Redshift as Signal Integrity Loss. It is the cumulative energy tax paid to the Lumen over distance.
THE LOW-PASS COSMOS MANDATE
The universal substrate is not a perfect conductor; it is a Reactive Transmission Line with a characteristic impedance (\(Z_0\)) and a discrete grain size (the First Jerk).
As a transverse wave (light) migrates through the Lumpy Space of the flux-lattice, every "click" of a cosmic dipole extracts a infinitesimal fraction of energy. Over megaparsecs, this Line Tax manifests as a downward shift in frequency.
The "Expansion" Error
The "Loudmouths" see more red and assume more speed. They are making a classic Metrology Error: confusing Attenuation for Velocity.
- The Velocity Delusion: "The galaxy is moving away, stretching the wave."
- The RR Audit: "The signal is tired. It has fought the ZPE Bias for billions of light-years and lost momentum."
The Fatigue Constant:
\[ z = \int_{source}^{observer} \delta(Lumen) \, dL \]Where \(\delta\) is the local reactance of the substrate undergrowth.