gap6_resolution
plain-language theorem explainer
Gap 6 resolution supplies the canonical marker that quark coordinate conventions are reconciled by layer separation rather than equivalence. A physicist deriving masses on the phi-ladder cites it to keep the integer-rung core parameter-free while treating quarter-ladder placements as exploratory. The definition is a one-line wrapper that populates the Resolution structure with its default status, method, and convention fields.
Claim. Let $Resolution$ be the structure recording status, method, core convention, and hypothesis convention. The gap-6 resolution is the instance with status equal to RESOLVED_BY_LAYER_SEPARATION, method equal to layer separation between core and hypothesis, core convention the integer-rung placement, and hypothesis convention the quarter-ladder placement.
background
The module resolves Gap 6 by separating two quark coordinate conventions that serve distinct purposes. The core convention assigns particles to integer rungs on the phi-ladder, with mass given by yardstick times phi to the power of (rung minus 8 plus gap(Z)). The hypothesis convention uses quarter-integer residues relative to the electron structural mass for improved phenomenological accuracy on heavy quarks. The Resolution structure formalizes this separation with explicit fields for status and method. Upstream results include the general Resolution pattern from Birch-TateStructure and the is predicate from OptionAEmpiricalProgram that ensures collision-free layer assignments.
proof idea
The definition is a one-line wrapper that instantiates the Resolution structure with its default field values for status, method, core convention, and hypothesis convention.
why it matters
This declaration supplies the resolved status object consumed by the downstream theorem gap6_resolved, which asserts the status string by reflexivity. It closes the quark coordinate reconciliation in the module by documenting that integer rungs remain canonical for the parameter-free core while quarter-ladder remains hypothesis-layer. The placement aligns with the phi-ladder mass formula and the framework's eight-tick octave structure.
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