IndisputableMonolith.Foundation.NeutralSector
NeutralSector introduces the ObservableRatioModel, equipping a countable type with positive real ratios per state and their associated log-charges. Researchers proving neutrality of parameter-free observables in the Recognition framework cite it to close the zero-parameter ledger. The module consists of the core definition plus short lemmas establishing unity ratios when no free parameters remain.
claimLet $α$ be a countable type. An observable ratio model on $α$ is a structure assigning to each state a positive real ratio $r$ together with a conserved log-charge $c$ satisfying the symmetric cost comparison of the upstream ledger.
background
The module sits inside the Foundation layer and imports the Zero-Parameter Local Conserved Comparison Ledger. That ledger supplies a countable carrier, local binary comparisons with symmetric cost, and a conserved scalar (log-charge). NeutralSector adds the ObservableRatioModel to record observable ratios on top of this conserved quantity. Sibling declarations then treat the sector label as a free knob and derive that parameter-free ratios equal one.
proof idea
this is a definition module, no proofs
why it matters in Recognition Science
The module supplies the ObservableRatioModel and the lemmas parameter_free_observables_are_neutral and neutral_ratio_eq_one. These feed the unconditional inevitability theorem by showing that the neutral sector forces unity ratios once free parameters are removed. It therefore closes one step in the zero-parameter ledger construction.
scope and limits
- Does not define dynamics or time evolution.
- Does not treat charged sectors or non-neutral ratios.
- Does not compute numerical values for the ratios.