definition · DEF-GATIII-01

Finite Physical Yang-Mills Cargo

source-verified gat
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Meaning

Finite physical Yang–Mills cargo arranges an already certified finite realization according to what continuation must carry forward.

It retains realized detector sectors, gauge descent, incision-aware spacetime and Cauchy data, the physical-carrier projection P_K, complete-ground projection P_Ω, the closed physical form, separately typed higher data, and provenance. “Cargo” names this transport-oriented packaging; it adds no new finite physical coordinate.

Example (illustrative)

A vector can lie in Ran P_K and still have positive excitation energy, so it need not lie in Ran P_Ω. A continuation must account for both projections and their relationship, rather than referring vaguely to “the physical projector.”

Scope and limits

Packaging certified data does not construct a passage to another stage. Gauss, physical-carrier, and complete-ground projections remain distinct unless a theorem identifies them.

Source

GAT III — Admissible Yang–Mills Fibrations and Thin Haag–Kastler Reconstruction. GAT III, Definition 3.1.

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