AXIOM: Frame Dependency
The Isolation of the EM Signal
An isolated electromagnetic signal carries no inherent information regarding its history or velocity. Information only emerges when the signal is handshaked against a Reference Frame.
THE METROLOGY NULL
Observation of a signal's frequency (\(f\)) cannot provide data about its source unless either the Frequency of Origination (\(f_0\)) or the Velocity of Propagation (\(v\)) is already established.
The Result: EM energy in a vacuum is "Unframed." Without a second frame of reference (a local clock or a known substrate density), the signal is physically incapable of "telling its own story."
The Cosmological Error
The "Loudmouths" see a redshifted signal and immediately claim it defines a "Recession Velocity." They are violating the Axiom of Frame Dependency. They assume they know the "Line Speed" is a constant \(c\), but if the Substrate Density varies, their "Speed" is a hallucination.
- The Signal: A frequency shift from Blue to Red.
- The Missing Data: Was the source moving, or did the Lumen change its propagation rate?
The Dependency Paradox:
\[ f_{\rm observed} = f_{\rm source} \cdot \left( \frac{v_{\rm wave} \pm v_{\rm obs}}{v_{\rm wave} \pm v_{\rm src}} \right) \]If \(v_{\rm wave}\) (the substrate speed) is unknown, the equation is unsolvable.