IndisputableMonolith.Relativity.ILG.FRW
The module declares the hypothesis that the ILG to FRW calibration step has been performed. It acts as an explicit model-level assumption within the relativity domain of the Recognition Science framework. The structure preserves transparency in the proof chain by treating the calibration as a placeholder until a full derivation receives Lean certification.
claimHypothesis that the ILG gravitational sector calibrates to the Friedmann-Robertson-Walker (FRW) cosmological metric: assume FRWCalibratedHypothesis holds.
background
Recognition Science derives physics from the J-functional equation with J-uniqueness (T5) forcing the self-similar fixed point phi (T6), the eight-tick octave (T7), and D=3 spatial dimensions (T8). The ILG component supplies the gravitational sector while FRW supplies the standard cosmological solution. The module doc-comment states: 'Hypothesis: the ILG→FRW calibration step has been performed. This module is intentionally model-level: we keep the calibration as an explicit assumption until a full derivation/certificate is formalized in Lean.'
proof idea
This is a hypothesis module with no proofs. It consists solely of the declaration of the FRWCalibrated_hypothesis as an assumption, serving as an interface placeholder.
why it matters in Recognition Science
The module supplies the calibration assumption required to connect ILG gravity to FRW cosmology inside the relativity section. It feeds the broader forcing chain (T0-T8) and downstream relativity results by keeping the step explicit. The hypothesis closes the model-level gap until a certificate converts the assumption into a proved theorem.
scope and limits
- Does not contain a proof of the ILG-FRW calibration.
- Does not derive the explicit calibration map from the J-equation.
- Does not specify numerical values or functional form of the calibration.
- Does not claim to cover all relativistic or cosmological consequences.