research-series · active
Geometry of Admissible Transport
GAT 0–VIII and Phenomenological Implications
The core Geometry of Admissible Transport series together with downstream phenomenological papers. The room is designed to grow without assuming that the current sequence exhausts the subject.
Research-program map
Internal mathematical architecture
A room-level view generated from the same typed graph as the paper pages. It shows only source-verified mathematical relations; sparse regions remain visibly sparse.
source-verified relationone-hop mathematical dependencycurated structural emphasis; not degree ranking
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- GAT VIII — Indexed Admissible Distributors and Selected Cofinal Čech Transport in Semisimple Yang–Mills Theory — defines → Admissible Transport
- GAT III — Admissible Yang–Mills Fibrations and Thin Haag–Kastler Reconstruction — proves → Admissible Yang–Mills Fibration
- GAT V — Invariant Spectral Transfer — proves → Orbit-Threshold Transfer
- GAT V — Invariant Spectral Transfer — proves → Cyclic Same-Carrier Identification
- GAT VIII — Indexed Admissible Distributors and Selected Cofinal Čech Transport in Semisimple Yang–Mills Theory — source of → Continuation Is Not Representability
- GAT VIII — Indexed Admissible Distributors and Selected Cofinal Čech Transport in Semisimple Yang–Mills Theory — opens → Characterize Representable Admissible Distributors
- GAT VIII — Indexed Admissible Distributors and Selected Cofinal Čech Transport in Semisimple Yang–Mills Theory — opens → Arbitrary-Cover Extension of Selected Cofinal Transport
- GAT IV — Vacuum Lineage and Spectral Identification — defines → Vacuum Lineage
- GAT V — Invariant Spectral Transfer — source of → Coercivity Is Not Invariant Mass
- GAT VIII — Indexed Admissible Distributors and Selected Cofinal Čech Transport in Semisimple Yang–Mills Theory — source of → Selected Cofinal Transport Is Not Arbitrary-Cover Transport
- GAT IV — Vacuum Lineage and Spectral Identification — source of → Vacuum Lineage Is Not Global Operator Equality
- GAT V — Invariant Spectral Transfer — imports → The Long Proof
- GAT VI — Affine Energy Rigidity — imports → The Long Proof
- Phenomenological Implications I — Persistent Center Charge and Energetic Confinement — imports → Geometry of Admissible Transport
- Phenomenological Implications II — Chiral Symmetry Breaking — imports → Geometry of Admissible Transport
- GAT 0 — Finite Cohomological and Coercive Recognition — defines → Finite Refinement Proposal
- GAT 0 — Finite Cohomological and Coercive Recognition — defines → Well-Typed Proposal
- GAT 0 — Finite Cohomological and Coercive Recognition — defines → Realization-Complete Proposal
- GAT 0 — Finite Cohomological and Coercive Recognition — defines → Formal Equivalence
- GAT 0 — Finite Cohomological and Coercive Recognition — defines → Thick Wilson Candidate
- GAT 0 — Finite Cohomological and Coercive Recognition — defines → Finite Physical Realization Predicate
- GAT 0 — Finite Cohomological and Coercive Recognition — defines → Admissible Realization Fiber
- GAT 0 — Finite Cohomological and Coercive Recognition — defines → Finite Physical Realization
- GAT 0 — Finite Cohomological and Coercive Recognition — defines → Complete Defect Ledger
- GAT 0 — Finite Cohomological and Coercive Recognition — defines → Finite Physical-Cohomological-Coercive Certificate
- GAT 0 — Finite Cohomological and Coercive Recognition — defines → Finite Gauge-Presentation Cover
- GAT 0 — Finite Cohomological and Coercive Recognition — defines → Finite Spacetime Cover
- GAT 0 — Finite Cohomological and Coercive Recognition — defines → Rectangular Compatibility
- GAT 0 — Finite Cohomological and Coercive Recognition — defines → Finite Gauge-Spacetime Index
- GAT 0 — Finite Cohomological and Coercive Recognition — defines → Bigraded Finite Realization Carrier
- + 79 additional relation(s) in the full graph.
2 additional room record(s) are not shown because they do not yet have source-verified mathematical edges.
Reading paths
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These paths are alternate views of the same archive records and typed graph. They do not duplicate papers or create a second taxonomy.
Start here
Editorial entry point
Proof architecture
Follow the program spine
Definitions first
Enter through the vocabulary
- Admissible Transportdefinition
- Vacuum Lineagedefinition
- Finite Refinement Proposaldefinition
- Well-Typed Proposaldefinition
- Realization-Complete Proposaldefinition
Physics first
Follow the physical consequences
Open problems
Enter at the frontier
Core GAT Series
The numbered series remains visible as one intellectual sequence. Release state is independent for each manuscript.
paperGAT 0 — Finite Cohomological and Coercive Recognitionpreprint · publicRead paper →paperGAT I — Grassmannian Gluing, Spectral Trichotomy, and Conditional Sectorial Type IIpreprint · pendingPublic artifact pending →paperGAT II — Constraint Projection, Frustum Geometry, and Klauder Physicalizationpreprint · publicRead paper →paperGAT III — Admissible Yang–Mills Fibrations and Thin Haag–Kastler Reconstructionpreprint · publicRead paper →paperGAT IV — Vacuum Lineage and Spectral Identificationpreprint · pendingPublication notice →paperGAT V — Invariant Spectral Transferpreprint · publicRead paper →paperGAT VI — Affine Energy Rigiditypreprint · publicRead paper →paperGAT VII — Admissible Surgery and Defect Transportpreprint · pendingPublic artifact pending →paperGAT VIII — Indexed Admissible Distributors and Selected Cofinal Čech Transport in Semisimple Yang–Mills Theorypreprint · publicRead paper →
Phenomenological Implications
Downstream physical applications of the GAT framework; numbered separately from the core GAT sequence.
Mathematical index