Redshift Framework
In the EOTU framework, redshift is the recurrence-scale comparison between an emission epoch and an absorption epoch. A photon transports a fixed curvature packet through the Dormant Corridor network. Its packet identity is preserved during propagation.
The observed redshift arises when the emitted packet is interpreted through the recurrence scale of a later absorption snapshot. The comparison is therefore an endpoint relation between Constellus recurrence states, not a dynamical stretching of the photon packet.
Here, \(CS_k(\tau_e)\) is the recurrence scale of the emission snapshot, and \(CS_k(\tau_o)\) is the recurrence scale of the observation snapshot.
Section Map
§1 — Redshift Mechanics
Defines redshift as fixed \(\Delta\mu\) transport across Dormant Corridors, with hop count determining arrival delay and endpoint recurrence scaling determining the observed comparison.
§2 — Cosmological Redshift
States the cosmological redshift rule as a consequence of invariant King-cycle timing, fixed photon transport, and epoch-dependent recurrence scaling recorded by Constellus.
§3 — Epoch Energy Projection
Connects the recurrence-scale redshift relation to observed energy comparison, wavelength comparison, and time dilation.
Appendix A — Horizon Scale from Corridor Hop Count
Defines the native propagation horizon from Dormant-Corridor hop count, \(\tau_0\), and \(c_{L_0}\).
Appendix B — Recurrence-Scaled Horizon Comparison
Separates the native transport horizon from the recurrence-scaled comparison horizon using Constellus endpoint scaling.
Interpretive Boundary
Redshift is not assigned to internal photon evolution. The photon packet preserves its emitted identity during Dormant-Corridor transport. The comparison arises when the same transported packet is interpreted through the recurrence scale of the absorption snapshot.
Distance and redshift correlate when greater corridor distance corresponds to an earlier emission snapshot. The redshift value itself remains the endpoint recurrence-scale comparison.