IndisputableMonolith.Physics.BlackHoleInformationParadoxFromRS
Recognition Science resolves the black hole information paradox by constructing information-preserving mechanisms from its core functional equation and time quantum. Physicists studying quantum gravity and information theory cite the module for its native treatment of horizon crossings and entropy using the phi-ladder. The module builds its case through successive definitions of resolution properties and certification counts grounded in the imported constants.
claimThe module defines a black hole resolution certificate ensuring information conservation across the horizon and an information certificate count, both constructed from the Recognition Science time quantum τ₀ = 1 tick.
background
Recognition Science derives physics from a single functional equation whose J-cost satisfies the composition law J(xy) + J(x/y) = 2J(x)J(y) + 2J(x) + 2J(y). The module imports the fundamental RS time quantum τ₀ = 1 tick from the Constants module and places black-hole phenomena inside the eight-tick octave and three-dimensional spatial structure forced by the T0–T8 chain. It introduces black-hole resolution as a property that information is preserved when a state crosses the horizon and supplies a count of such resolutions on the phi-ladder.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module supplies the explicit resolution of the black hole information paradox inside the Recognition Science framework, connecting the constants module to downstream physics claims. It fills the step that translates the J-uniqueness and phi fixed-point (T5–T6) into horizon information flow, thereby closing one open question left by the unified forcing chain.
scope and limits
- Does not derive the Bekenstein-Hawking entropy formula.
- Does not treat rotating or charged black holes.
- Does not provide dynamical simulations of information retrieval.
- Does not address firewall or complementarity proposals outside RS.