IndisputableMonolith.Relativity.ILG.PPNDerived
Module collecting Parametrized Post-Newtonian (PPN) coefficients derived inside the ILG gravity sector of Recognition Science. Relativists checking solar-system and binary-pulsar consistency of RS gravity would cite it. Content is definitional and derived equalities for the standard PPN set in the weak-field slow-motion limit, not a single theorem.
claimIn the ILG weak-field slow-motion expansion, the PPN parameters $(\gamma, \beta, \xi, \alpha_i, \zeta_i, \dots)$ are obtained from the effective metric and stress response; the module records the resulting values and any RS-forced equalities (e.g. approach to the GR point $\gamma=\beta=1$).
background
Parametrized Post-Newtonian (PPN) formalism expands the metric and matter response for weak fields and slow motions, yielding a finite set of dimensionless coefficients that every metric theory of gravity must fix. Solar-system and pulsar data constrain those coefficients tightly around the general-relativistic values.
ILG is the Recognition Science gravity sector: an effective relativistic dynamics whose continuum limit is built from the recognition cost and the forced constants ($c=1$, ladder structure, eight-tick discreteness). In that setting the post-Newtonian expansion is not free; the same cost functional that fixes $J$ and $\phi$ also constrains the PPN map.
This module sits in the Relativity.ILG hierarchy and packages the derived PPN dictionary so downstream solar-system and strong-field comparisons can quote a single source rather than re-expanding the field equations.
proof idea
Module-level organization rather than one proof. Typical contents are: (i) definitions of the ILG effective metric in the PN gauge, (ii) extraction of each PPN coefficient by matching to the standard Will–Nordtvedt form, (iii) short algebraic or series lemmas showing which coefficients are forced to GR values and which retain RS corrections. No single top-level theorem; the argument is the collection of those expansions.
why it matters in Recognition Science
Places ILG on the same observational footing as other metric theories by supplying the PPN vector that ephemeris and light-deflection analyses actually fit. Downstream consumers are solar-system constraint theorems, GR-limit recovery statements, and any claim that RS gravity passes existing PPN bounds. Ties to the broader forcing chain only indirectly: once $c$, the continuum limit, and the cost functional are fixed upstream, the PPN numbers become derived rather than postulated. Keeps the relativity layer auditable against classical tests without reopening the microscopic recognition postulates.
scope and limits
- Does not re-derive the ILG field equations; assumes they are already fixed upstream.
- Does not claim observational fits; only the theoretical PPN map from ILG.
- Does not treat strong-field or cosmological regimes beyond the PN expansion.
- Does not fix preferred-frame or conservation-violating parameters unless explicitly derived in-module.