pith. sign in
module module high

IndisputableMonolith.RecogSpec.RSLedger

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The RSLedger module encodes the three generations of fermions as tiered ledger structures with torsion differences and sector base rungs. It supplies the generational data used in downstream derivations of lepton mass ratios and geometric mixing angles. The module consists entirely of definitions and supporting functions with no theorems or proofs.

claimThe module defines the three fermion generations on the Recognition Science ledger, with a base rung per sector and torsion differences between generations one, two, and three.

background

Recognition Science builds particle structure from the cubic ledger geometry and the phi-ladder. This module imports the fundamental time quantum τ₀ = 1 tick from Constants, the constructive derivation of α⁻¹ via vertex deficits of Q₃ from AlphaDerivation, and the core recognition specifications. It introduces the type of fermion sectors together with functions that assign base rungs and compute torsion differences between the three generations.

proof idea

this is a definition module, no proofs

why it matters in Recognition Science

The module supplies the generational ledger structure required by MassLawFromLedger to derive the canonical mass ratios mu/e := φ¹¹, tau/e := φ¹⁷, tau/mu := φ⁶. It also feeds RSBridge, which uses the same tier geometry to obtain CKM mixing angles from ledger couplings rather than ad-hoc φ-formulas.

scope and limits

used by (2)

From the project-wide theorem graph. These declarations reference this one in their body.

depends on (3)

Lean names referenced from this declaration's body.

declarations in this module (22)