Mathematical registry

Mathematical Objects

Typed mathematical objects with carriers, coefficient systems, and admissible transformations.

13public records
OBJ-COMP-GRPD

Certified Comparison Groupoid

source-verifiedprofunctorgroupoidtransport

For an admitted base passage f, the groupoid of source-certified full-package physical comparisons from X to candidate destination Y over f.

Open archive record →
OBJ-GAT-FIBRATION

Admissible Yang–Mills Fibration

source-verifiedgrothendieck-fibrationcontinuation

A cloven Grothendieck fibration obtained only after certified continuation data and coherent reindexing have been established.

Open archive record →
OBJ-MECH-RECON

Mechanism Reconstruction

conceptualproof-architecturediscovery-history

A later structural explanation of an originally compressed or insight-driven step, without implying that the original argument was invalid.

Open archive record →
OBJ-GAT0-BAND-H3

Coefficient-Band Associator Class

source-verifiedgat

The internal degree-three coefficient-band class b_D recording associator twisting.

Open archive record →
OBJ-GAT0-REL-H2

Relative Refinement–Admissibility Lift

source-verifiedgat

A native relative degree-two class in the mapping-fiber complex, distinct from both the filling obstruction and the transgressed selector class.

Open archive record →
OBJ-GAT0-SELECTOR-H2

Selected Tensor-Selector Class

source-verifiedgat

A selected degree-two class produced from the band class by controlled transgression.

Open archive record →
OBJ-GATI-SECTION-MODULE

Admissible Section Module Object

source-verifiedgat

The module-valued pseudosection underlying represented physical sections.

Open archive record →
OBJ-GATI-TRANSPORT-MIGRATION

Transport–Migration–Escape Decomposition

source-verifiedgat

The decomposition of comparison zero modes into retained transport and migration, with positive residual comparison escape.

Open archive record →
OBJ-GATIII-CARGO

Finite Physical Yang-Mills Cargo Object

source-verifiedgat

The full transport-ready physical package rather than its observable-algebra coordinate alone.

Open archive record →
OBJ-GATVIII-DISTRIBUTOR

Indexed Admissible Distributor

source-verifiedgat

The comparison-valued transport object prior to coherent representability.

Open archive record →
OBJ-GATVIII-MARKOV-SHADOW

Markov Coarse-Graining Shadow Object

source-verifiedgat

Finite-rank gauge-compatible Markov coarse-graining, explicitly distinct from the sharp physical detector.

Open archive record →
OBJ-ORBIT-FLOOR

Orbit Floor

source-verifiedspectral-theoryinvariant-transfer

The infimum of the height function along a symmetry orbit; its spectral functional calculus supplies the invariant shadow used in threshold transfer.

Open archive record →
OBJ-VAC-GERBE

Vacuum Gerbe

objectvacuum-gerbecohomologydescent

A central higher-gluing object in the Yang–Mills program; exact public definition and source location remain to be attached.

Canonical source pending
Open archive record →