IndisputableMonolith.Gravity.ParameterizationBridge
The ParameterizationBridge module defines centripetal acceleration for circular orbits and the algebraic identities that relate acceleration ratios to squared T_dyn over T_0 ratios scaled by radius ratios. Gravity modelers in Recognition Science cite it to connect the fine-structure constant α to dynamic time parameters. The module consists of direct definitions and equalities with no inductive proofs.
claim$a(v,r)=v^2/r$, together with the bridge relations $(T_0/T_0)^2=(a/a_0)(r/r_0)$, $a/a_0=(T_0/T_0)^2(r_0/r)$, and the corresponding power-law identities at reference radius $r=r_0$.
background
The Gravity module re-exports Rotation for Newtonian rotation curves, ILG for information-limited time kernels, DerivedFactors for HSB suppression, and ParameterizationBridge to link α to T_dyn/T_0 ratios. This module introduces the centripetal acceleration accel(v,r) and the time-ratio identities that allow parameterization of gravitational dynamics through these time scales in RS-native units where c=1.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module feeds the IndisputableMonolith.Gravity facade, which re-exports it to connect Rotation and ILG components. It supplies the explicit algebraic link from α to T_dyn/T_0 ratios required for gravity parameterization in the Recognition Science framework.
scope and limits
- Does not derive the numerical value of α from the forcing chain.
- Does not incorporate general-relativistic corrections.
- Does not define T_dyn or T_0 from more primitive axioms.
- Does not treat non-circular orbits or time-dependent fields.