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module module moderate

IndisputableMonolith.Physics.CosmologyDepthFromRS

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This module defines cosmological epochs and depth certification structures derived from Recognition Science using the base RS time quantum. Cosmologists extending RS to universe-scale models would cite these definitions as the entry point for epoch counting and depth certificates. The module is purely definitional, importing Constants and organizing sibling types without proofs or computations.

claimThe module introduces the inductive type of cosmological epochs, the counting function cosmologicalEpochCount, the certificate type CosmologyDepthCert, and its constructor cosmologyDepthCert, all expressed in RS-native units with base time quantum τ₀ = 1 tick.

background

Recognition Science starts from a single functional equation whose consequences include the RS time quantum τ₀ = 1 tick, supplied by the imported Constants module. This module extends that foundation into cosmology by defining discrete epochs that mark stages of cosmic evolution and a certificate that records the depth reached from the RS base unit. The sibling declarations CosmologicalEpoch, cosmologicalEpochCount, CosmologyDepthCert and cosmologyDepthCert supply the concrete objects that later proofs can reference when applying the phi-ladder or forcing chain to cosmological scales.

proof idea

this is a definition module, no proofs

why it matters in Recognition Science

The module supplies the definitional layer that lets the Recognition framework reach cosmological depth from its core time quantum, feeding any future theorems that apply the T0-T8 chain or RCL to epoch counting and depth certification. It closes the gap between the abstract RS constants and concrete cosmological objects without yet containing derivations or numerical results.

depends on (1)

Lean names referenced from this declaration's body.

declarations in this module (4)