Mathematical registry

Theorems

Source-bound theorem records with hypotheses, dependencies, exports, and status.

9public records
THM-GAT-FIBRATION

Admissible 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-001

No-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-TRANSFER

Orbit-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-CARRIER

Cyclic 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-MARKOV

Ground-State Markovization

source-verifiedgat

The ground-state transform generates a conservative symmetric Markov semigroup.

Open archive record →
THM-GATVIII-MARKOV-ANCESTOR

Gauge-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-RELAX

Configured 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-BICAT

Selected 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-MARKOV

Markov-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 →