IndisputableMonolith.Gravity.NonlinearReggeProof
The NonlinearReggeProof module assembles definitions establishing a nonlinear Regge certificate on the phi lattice for gravity. Researchers extending discrete gravity models would cite it when moving from linear to nonlinear regimes. The module organizes lattice regularity, convergence regimes, and CMS conditions into the certificate existence statement.
claimExistence of a nonlinear Regge certificate for the canonical phi lattice under the convergence regime and CMS conditions, with the lattice satisfying observational coverage.
background
The module belongs to the Gravity domain and imports Constants, whose doc-comment states the fundamental RS time quantum (RS-native). τ₀ = 1 tick. It introduces PhiLatticeRegularity for lattice structure, canonical_phi_lattice as the base object, ConvergenceRegime with regime_covered, linearized and observational regime coverage, CMSConditions with phi_lattice_satisfies_cms, and NonlinearReggeCert together with its existence statement. These sit atop the phi-ladder and Recognition Composition Law.
proof idea
This is a definition module, no proofs.
why it matters in Recognition Science
The module supplies the nonlinear Regge certificate that extends the gravity sector. It connects to the forcing chain steps T5 through T8 that force J-uniqueness, phi, the eight-tick octave, and D = 3. No downstream declarations are listed, indicating it serves as a terminal object for the nonlinear gravity construction.
scope and limits
- Does not treat linear Regge cases.
- Does not include numerical verification.
- Does not extend to D ≠ 3.
- Does not address time-dependent lattices.
depends on (1)
declarations in this module (11)
-
structure
PhiLatticeRegularity -
def
canonical_phi_lattice -
inductive
ConvergenceRegime -
def
regime_covered -
def
linearized_covers_observational -
theorem
observational_regime_covered -
structure
CMSConditions -
theorem
phi_lattice_satisfies_cms -
theorem
linearized_implies_weak -
structure
NonlinearReggeCert -
theorem
nonlinear_regge_cert_exists