IndisputableMonolith.Relativity.GRLimit.ParametersTest
ParametersTest validates the smallness and perturbative quality of ILG parameters α and C_lag in the Recognition Science framework applied to relativity. Physicists bridging RS with GR cite these tests to confirm consistency with general relativity approximations. The module structure consists of importing the Parameters module and exercising its definitions for α = (1 - 1/φ)/2 and C_lag = φ^{-5}.
claimThe primary objects are the parameters $α = (1 - φ^{-1})/2$ derived from RS geometry and $C_{lag} = φ^{-5}$ from the coherence quantum.
background
The module sits within the Relativity.GRLimit section, which connects Recognition Science parameters to general relativity limits. It builds on the upstream result that ILG parameters from RS are small and perturbative, with explicit forms α = (1 - 1/φ)/2 from RS geometry and C_lag = φ^{-5} from E_coh = φ^{-5} eV. This setting uses the phi-ladder and recognition composition law to ensure parameters fit within the alpha band and other constants in RS-native units. The local context assumes the forcing chain T0-T8 with T8 fixing D=3 spatial dimensions and the eight-tick octave.
proof idea
This is a test module, no proofs. The argument structure is limited to importing and referencing the core parameter derivations from the sibling Parameters module.
why it matters in Recognition Science
The module feeds verification steps for the parent claim that RS-derived parameters remain perturbative in GR contexts. It supports the Recognition Spine connection by confirming the specific values align with smallness requirements. This closes a verification loop for the parameter limits without introducing new chain steps.
scope and limits
- Does not derive new parameter values or modify existing expressions.
- Does not contain theorems or proofs independent of the imported module.
- Does not address open questions in the forcing chain or mass formulas.