IndisputableMonolith.Physics.HolographicPrincipleFromRS
The module introduces the holographic principle in Recognition Science by fixing the Bekenstein-Hawking coefficient at the canonical value 1/4. Quantum gravity researchers cite it when connecting RS constants to area-law black hole entropy. The module consists of context definitions and positivity certificates with no embedded proofs.
claimThe Bekenstein-Hawking coefficient equals $1/4$ in the entropy formula $S_{BH} = A/4$, where $A$ denotes horizon area expressed in RS-native units derived from the time quantum.
background
Recognition Science derives all physics from a single functional equation whose forcing chain yields J-uniqueness, the phi fixed point, and D=3 spatial dimensions. This module imports the fundamental RS time quantum τ₀ = 1 tick from Constants. It defines HolographicContext as the setting in which the holographic principle applies, together with the coefficient fixed at its canonical value and a certification object for verification.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module supplies the canonical 1/4 coefficient required for holographic entropy in downstream Recognition Science derivations. It supports links to the eight-tick octave and the phi-ladder mass formula. No parent theorems appear in the current dependency graph, leaving it as a foundational interface for holographic applications.
scope and limits
- Does not derive the holographic principle from the forcing chain.
- Does not specify the explicit area-law expression.
- Does not perform numerical evaluations against data.
- Does not include quantum corrections to the entropy.