IndisputableMonolith.Foundation.NeutralSector
The NeutralSector module defines observable ratio models that assign a positive real ratio to each state of a type alpha while recording the log-charge of that ratio. It extends the zero-parameter ledger to isolate neutral sectors where observables carry no free parameters. Recognition Science researchers would cite it when establishing that parameter-free ratios equal unity. The module consists of a core definition followed by lemmas on free knobs and neutral ratios.
claimAn observable ratio model on a type $alpha$ is a structure assigning to each state a positive real ratio $r>0$ together with its log-charge $log r$.
background
This module resides in the Foundation domain and imports LedgerCanonicality, whose ZeroParameterComparisonLedger packages a countable carrier for discrete states, local binary comparison under a symmetric cost, and a conserved scalar (log-charge). The upstream doc-comment states that this ledger supplies the refined primitive object for the unconditional inevitability theorem. NeutralSector introduces ObservableRatioModel on top of that ledger to capture the neutral sector in which ratios become independent of external parameters.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module supplies the neutral-sector machinery that feeds the lemmas parameter_free_observables_are_neutral and neutral_ratio_eq_one. These results close the loop from the conserved log-charge in LedgerCanonicality to the claim that observable ratios are unity when no parameters remain, supporting the later extraction of the alpha band and the phi-ladder mass formula.
scope and limits
- Does not derive the J-functional equation or its uniqueness.
- Does not force phi as the self-similar fixed point.
- Does not establish the eight-tick octave or D=3.
- Does not compute mass values on the phi-ladder.