knet_eight_tick_refined_value
plain-language theorem explainer
The theorem establishes that the refined eight-tick net coupling constant equals 81/49. Researchers normalizing constants for the Coercive Projection Method in eight-tick geometries would cite it when fixing numerical values in Recognition Science models. The proof is a one-line wrapper that simplifies the defining expression and reduces it numerically.
Claim. Let $K$ denote the refined net coupling constant arising from eight-tick analysis. Then $K = 81/49$.
background
The Law of Existence module supplies an abstract Coercive Projection Method (CPM) with three parts: projection-defect inequalities, coercivity factorization via energy gaps, and aggregation of local tests. The eight-tick geometry uses the fundamental time quantum τ₀ = 1, with one octave defined as eight such quanta. The refined net coupling is introduced as the alternative normalization (9/7)² for aggregate defect and mass calculations in this setting. The upstream tick definition supplies the RS-native time unit that anchors the period.
proof idea
The proof is a one-line wrapper. It applies simplification to the definition of the refined eight-tick net coupling constant, then invokes numerical reduction to obtain the explicit fraction 81/49.
why it matters
This supplies the concrete numerical value required for the CPM constants bundle in eight-tick geometry. It closes the normalization step that feeds the eight-tick octave (period 2³) from the forcing chain. No parent theorems are recorded in the used-by list, leaving the constant available for downstream CPM applications in the Law of Existence framework.
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