IndisputableMonolith.Foundation.LocalityFromLedger
The module defines how locality emerges from a minimal zero-parameter ledger in Recognition Science. It introduces ZeroParameterLedger, LocalComposition, BinaryRecurrence, and related ratio functions to reach LocalityCert via locality_from_ledger. The structure is purely definitional and rests on the imported RS time quantum τ₀ = 1 tick.
claimZeroParameterLedger as base structure; locality_from_ledger yields LocalityCert certifying local composition under binary recurrence with uniform ratio.
background
The module sits in the Foundation domain and imports only the RS time quantum τ₀ = 1 tick from Constants. It defines a ledger without external parameters, local composition of elements, binary recurrences that enforce minimality via ratio_only and uniform_ratio, and the binary_is_minimal predicate. These objects prepare the ground for locality certificates that later support the J-functional equation and Recognition Composition Law.
proof idea
This is a definition module, no proofs. It sequences supporting definitions (ZeroParameterLedger, LocalComposition, BinaryRecurrence, ratio_only, uniform_ratio, binary_is_minimal) before the central locality_from_ledger construction and the existence statement locality_cert_exists.
why it matters in Recognition Science
Supplies the ledger-based locality primitives that feed higher foundation results on spatial emergence in the RS forcing chain. It grounds the transition from the single functional equation to local structures required for T7 (eight-tick octave) and T8 (D = 3).
scope and limits
- Does not derive numerical values for constants such as alpha or G.
- Does not contain the full T0-T8 forcing chain.
- Does not address mass formulas or Berry thresholds.
- Does not prove physical predictions beyond the locality certificate.