IndisputableMonolith.Physics.HawkingRadiationFromRS
Module supplies the Hawking temperature factor 1/(8 φ^10) as the dimensionless RS-native quantity for black hole evaporation. Physicists deriving quantum gravity effects from the Recognition functional equation would cite these definitions when scaling temperatures via the phi-ladder. The module imports Constants and assembles sibling objects like HawkingEffect and hawkingFactor as direct definitions.
claimThe Hawking temperature factor is the dimensionless quantity $1/(8 φ^{10})$, where $φ$ is the self-similar fixed point satisfying the Recognition Composition Law.
background
Recognition Science obtains all constants from the forcing chain T0-T8, with T5 fixing J-uniqueness as $J(x)=(x+x^{-1})/2-1$ and T6 forcing $φ$ as the fixed point. The imported Constants module sets the base time quantum $τ_0=1$ tick in RS-native units, with $G=φ^5/π$ and $ℏ=φ^{-5}$. This module introduces Hawking radiation objects by applying the mass formula yardstick $× φ^{(rung-8+gap(Z))}$ to the temperature scaling, yielding the factor $1/(8 φ^{10})$ consistent with the eight-tick octave.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module supplies the Hawking temperature factor that supports black hole thermodynamics derivations in the Recognition framework. It aligns with the phi-ladder scaling and the mass formula from upstream Constants, providing the leading RS correction to the classical Hawking temperature without invoking external lemmas.
scope and limits
- Does not derive the full Hawking spectrum or greybody factors.
- Does not include loop corrections or information paradox resolutions.
- Does not compute numerical temperatures for specific black hole masses.