pith. sign in
def

Clag

definition
show as:
module
IndisputableMonolith.Constants.ILG
domain
Constants
line
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plain-language theorem explainer

Clag is the constant 1/φ^5 that supplies the amplitude scale for the ILG time-kernel. Gravity modelers and resonance calculations cite it when instantiating Params and verifying bounds on w_t. The declaration is a direct noncomputable abbreviation that imports phi from the sibling Constants module.

Claim. Let φ be the self-similar fixed point. Define Clag := 1/φ^5.

background

The Constants.ILG module introduces Clag together with alpha_locked. Phi is the fixed point forced at T6 of the UnifiedForcingChain and satisfies the self-similarity relation used throughout the Recognition framework. Clag therefore inherits the φ^5 scale that appears in the native-unit expressions for ħ and G.

proof idea

The declaration is a direct abbreviation that sets Clag equal to the reciprocal of phi raised to the fifth power; no lemmas or tactics are applied.

why it matters

Clag populates the Clag field of the Params structure in Gravity.ILG and is required by ParamProps, w_t_nonneg, w_t_ge_one, and w_t_with. It supplies the numerical prefactor in the power-law time-kernel that connects to the eight_tick_period theorem and the T7 eight-tick octave. The definition therefore closes the constant interface between the forcing chain and the ILG gravity layer.

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