IndisputableMonolith.Relativity.NewFixtures
The Relativity.NewFixtures module organizes stub declarations for facts needed to embed general relativity inside the Recognition Science framework. It collects placeholders for gauge invariance, curvature relations, matrix bridges, Landau facts, linearized PDEs, weak-field algebra, phi-psi coupling, and modified Poisson structures. A researcher extending the phi-ladder mass formula or the eight-tick octave to gravitational regimes would cite these stubs once discharged. The module is purely organizational scaffolding with no active proofs.
claimStubs for gauge facts, curvature facts $R_{ab}$, matrix bridge facts, Landau facts, linearized PDEs, PPN inverse, weak-field algebra, and modified Poisson equations in RS units with $c=1$, $G=phi^5/pi$.
background
The module resides in the Relativity domain and supplies the interface layer that will connect the core Recognition Composition Law J(xy) + J(x/y) = 2J(x)J(y) + 2J(x) + 2J(y) to relativistic geometry. Upstream forcing-chain results (T5 J-uniqueness, T6 phi fixed point, T7 eight-tick octave, T8 D=3) already fix the native constants c=1, hbar=phi^{-5}, G=phi^5/pi and the alpha band (137.030,137.039). The listed stubs prepare the ground for embedding the Einstein tensor and its weak-field and post-Newtonian approximations into the same phi-ladder used for particle masses.
proof idea
this is a definition module, no proofs
why it matters in Recognition Science
The module feeds the parent Relativity theorems that will ultimately derive gravitational dynamics from the single functional equation. It closes the scaffolding gap between the T0-T8 chain and concrete observables such as the PPN parameters and linearized gravitational waves. Completion would allow direct comparison of RS-native predictions with solar-system tests and binary-pulsar data.
scope and limits
- Does not contain any completed theorems or proofs.
- Does not specify the mathematical content inside each stub.
- Does not import the modules that will discharge the stubs.
- Does not yet link the fixtures to the mass formula or Berry threshold.
declarations in this module (15)
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def
gaugeFactsStub -
def
curvatureFactsStub -
def
matrixBridgeFactsStub -
def
landauFactsStub -
def
matrixNeumannStub -
def
linearizedPDEStub -
def
ppnInverseStub -
def
fieldTheoryStub -
def
weakFieldAlgebraStub -
def
phiPsiCouplingStub -
def
modifiedPoissonStub -
def
radialPoissonStub -
def
christoffelStub -
def
coneEntropyStub -
def
grLimitRegularityStub