IndisputableMonolith.Gravity.ParameterizationBridge
The ParameterizationBridge module supplies algebraic identities connecting centripetal acceleration in circular orbits to ratios of dynamic time T_dyn and reference time T_0. Researchers formalizing gravity models in Recognition Science cite it when linking the fine-structure constant alpha to those time ratios. The module consists of direct definitions of quantities such as accel together with their multiplicative and ratio relations.
claimDefines centripetal acceleration $a = v^2/r$ and establishes relations including $a imes T_{ m dyn}^2$, $T_0^2$, $(T_{ m dyn}/T_0)^2 = (a/a_0) imes (r_0/r)$, and the corresponding power identities at reference radius $r_0$.
background
The module belongs to the Gravity facade, which re-exports Rotation (Newtonian identities $v^2 = GM/r$), ILG (time-kernel and weight functions), DerivedFactors (HSB suppression from SevenBeatViolation), and ParameterizationBridge itself. It introduces the explicit bridge from alpha to $T_{ m dyn}/T_0$ ratios. Core objects are accel (circular-orbit centripetal acceleration from speed $v$ and radius $r$), Tdyn, T0, and the listed multiplicative lemmas.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module is imported by IndisputableMonolith.Gravity, the facade collecting all gravity formalizations. It supplies the parameterization step that links alpha to $T_{ m dyn}/T_0$ ratios, completing the bridge required by the Recognition Science gravity layer.
scope and limits
- Does not derive the numerical interval for alpha inverse.
- Does not connect to the phi-ladder mass formula or J-uniqueness.
- Does not address Berry creation threshold or eight-tick octave.
- Does not prove the Recognition Composition Law.