IndisputableMonolith.Mathematics.NumberTheoryFromRS
The module derives number theoretic identities from the Recognition Science phi relation. Researchers connecting the RS forcing chain to Fibonacci sequences and counting functions would cite it. The module organizes a collection of identities and certificates built directly from the defining property φ² = φ + 1.
claim$\phi^2 = \phi + 1$
background
The module sits in the Mathematics domain. It imports Mathlib and IndisputableMonolith.Constants, where the fundamental RS time quantum is defined as τ₀ = 1 tick. The central object is the property φ² = φ + 1, the defining relation for the golden ratio phi that arises as the self-similar fixed point in the RS framework.
proof idea
this is a definition module, no proofs
why it matters in Recognition Science
This module supplies the number theory building blocks for the Recognition Science framework. It feeds downstream results such as NumberTheoryCert and rsi_count_five. It establishes the mathematical identities needed to derive counts and gaps from the phi ladder.
scope and limits
- Does not derive physical predictions or constants.
- Does not address the forcing chain steps T0 to T8 directly.
- Does not include spatial dimension derivations.