Mathematical registry
Theorems
Source-bound theorem records with hypotheses, dependencies, exports, and status.
9public records
THM-GAT-FIBRATIONAdmissible Yang–Mills Fibration
source-verifiedcontinuationgrothendieck-fibration
Coherent certified continuation determines the admissibility pseudofunctor and hence the associated Grothendieck fibration. The formal construction does not manufacture the physical continuation arrows.
Open archive record →THM-NOLEAK-001No-Leakage Principle
source-check-requiredspectral-theorymosco-convergenceno-leakage
Placeholder registry entry for the no-leakage result; theorem numbering and canonical source must be verified before deployment.
Exact theorem source pending
Open archive record →THM-ORBIT-TRANSFEROrbit-Threshold Transfer
source-verifiedspectral-theorymass-identification
A frame-dependent height exclusion propagates around each symmetry orbit, producing an invariant lower threshold for the orbit-floor spectral shadow.
Open archive record →THM-SAME-CARRIERCyclic Same-Carrier Identification
source-verifiedstone-theoremsame-carrierdynamics
The two unitary groups, and therefore their Stone generators including maximal domains, are equal.
Open archive record →THM-GATVIII-GROUND-MARKOVGround-State Markovization
source-verifiedgat
The ground-state transform generates a conservative symmetric Markov semigroup.
Open archive record →THM-GATVIII-MARKOV-ANCESTORGauge-Invariant Markov Ancestor
source-verifiedgat
The electric–magnetic form is a closed symmetric Dirichlet form, with gauge-invariant restriction also Dirichlet.
Open archive record →THM-GATVIII-POINCARE-RELAXConfigured Poincaré Estimate and Relaxation
source-verifiedgat
The same configured floor yields a functional-analytic Poincaré estimate and exponential L² relaxation rate.
Open archive record →THM-GATVIII-RAW-BICATSelected Raw Comparison Bicategory
source-verifiedgat
The selected raw physical comparisons form a bicategory projecting normally to the selected transport base.
Open archive record →THM-GATVIII-SEAM-MARKOVMarkov-Compatible Seam Extension
source-verifiedgat
The electric–magnetic plus seam form is again a symmetric Dirichlet form; positivity alone is not enough.
Open archive record →