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Interface Problems in Mathematical Physics
Four interface papers across local-to-global passage, spectral emergence, gauge transport, and thin reconstruction
A modular research room for problems of passage between mathematical structures: local-to-global descent, continuation, admissible comparison, reconstruction, and the conditions under which an interface is actually realizable.
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.
Text alternative to the research-program diagram
- GAT III — Admissible Yang–Mills Fibrations and Thin Haag–Kastler Reconstruction — proves → Admissible Yang–Mills Fibration
- GAT III — Admissible Yang–Mills Fibrations and Thin Haag–Kastler Reconstruction — defines → Finite Physical Yang-Mills Cargo
- GAT III — Admissible Yang–Mills Fibrations and Thin Haag–Kastler Reconstruction — defines → Certified Admissible Continuation
- GAT III — Admissible Yang–Mills Fibrations and Thin Haag–Kastler Reconstruction — source of → Finite Physical Yang-Mills Cargo Object
3 additional room record(s) are not shown because they do not yet have source-verified mathematical edges.
Reading paths
Choose how you want to enter.
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
- Finite Physical Yang-Mills Cargodefinition
- Certified Admissible Continuationdefinition
Physics first
Follow the physical consequences
Open problems
Enter at the frontier
No public conjecture or open-problem path is attached yet.
Principal interface papers
Three standalone manuscripts currently identified in Drive as principal interface work.
Interface paper inside a larger program
GAT III is counted as the fourth mathematical-physics interface paper in this room, while remaining canonically owned by the GAT series.
Open interface questions
Mathematical index