definition · DEF-ADM-001

Admissibility

definition admissibility interface-theory
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Meaning

Admissibility asks whether an object or comparison satisfies the requirements of the particular construction in which it is being used.

The requirements must be stated before the word is used. In finite Yang–Mills recognition, they concern the actual carrier, physical sectors, operators and their domains, complete ground space, coefficient and filling data, constraints, seams, algebraic closure, and the analytic estimates being claimed. For transport, the question also includes what a comparison preserves and what defects it controls. This is an orientation to the archive’s usage; the general stabilized definition still awaits its canonical source.

Example (illustrative)

A proposed refinement may preserve a Hamiltonian matrix but discard a required physical sector. It fails the sector-preservation requirement even though the remaining matrix is well defined. Conversely, checking sector preservation alone leaves the other requirements to be checked.

Scope and limits

“Admissible” is always relative to stated requirements. This source-pending entry does not supply a universal definition or replace the frozen logical-admissibility definition. Use the source-linked finite physical realization predicate and admissible transport entries for those specific meanings.

Source

General canonical source pending. The finite Yang–Mills orientation is checked against GAT 0 §4.1 and the transport discussion against GAT III §3.4 and GAT VIII §§3–4. It does not supply the missing general definition.

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