IndisputableMonolith.Physics.HawkingRadiationFromRS
The module Physics.HawkingRadiationFromRS supplies the dimensionless Hawking temperature factor 1/(8 φ^10) as the RS-native expression for black-hole evaporation. Physicists modeling quantum gravity effects or black-hole thermodynamics in alternative frameworks would cite it for direct comparison with standard results. The module is built from definitions and elementary positivity lemmas that rest on the imported Constants module.
claimThe Hawking temperature factor is the dimensionless quantity $1/(8\phi^{10})$, where $\phi$ denotes the self-similar fixed point of the Recognition Science forcing chain.
background
The module imports the RS time quantum $\tau_0=1$ tick from IndisputableMonolith.Constants and works inside the Recognition Science setting whose landmarks include the J-uniqueness map, the phi-ladder mass formula, and the eight-tick octave. It introduces sibling definitions such as HawkingEffect, hawkingFactor, and HawkingCert that encode the temperature scaling in RS-native units. The local theoretical setting is the derivation of observable physics quantities from the Recognition Composition Law and the forced constants $c=1$, $\hbar=\phi^{-5}$, $G=\phi^5/\pi$.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module supplies the temperature factor required by any downstream calculation of black-hole lifetime or evaporation rate inside the Recognition framework. It therefore feeds parent results that connect the phi-ladder to observable radiation and closes one link in the chain from T5–T8 forcing steps to concrete physics predictions.
scope and limits
- Does not derive the full Hawking spectrum or grey-body factors.
- Does not compute numerical temperatures for specific black-hole masses.
- Does not address back-reaction or quantum corrections to the leading factor.
- Does not interface with observational constraints or data.