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IndisputableMonolith.Foundation.PhysicsLogicRealization

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This module supplies the minimal recognition-state skeleton indexed by identity ticks as the bridge from ordered logic to physics realization. Researchers tracing the Universal Forcing program would cite it when moving from abstract ordered structures to concrete physical states. The module is a pure definition block that introduces PhysicsState, physicsCost, tickStep, and physicsInterpret without any embedded proofs.

claimPhysicsState is a structure indexed by identity ticks $t$ carrying a recognition cost function satisfying physicsCost_self and physicsCost_symm, together with maps tickStep and physicsInterpret that realize ordered logic in physical terms.

background

The module imports OrderedLogicRealization, whose doc-comment states it supplies ordered faithful realization for Universal Forcing. It therefore inherits the ordered structure and extends it by the minimal skeleton described in the module doc-comment: recognition states indexed by identity ticks. The sibling declarations introduce PhysicsState as the carrier, physicsCost as the associated cost obeying self and symmetry properties, tickStep as the discrete advance, and physicsInterpret as the realization map.

proof idea

This is a definition module, no proofs.

why it matters in Recognition Science

The module feeds UniversalForcingAudit, whose doc-comment describes it as the reproducible audit surface for the Universal Forcing program. It therefore supplies the concrete physics-state layer required for any downstream audit of the forcing chain.

scope and limits

used by (1)

From the project-wide theorem graph. These declarations reference this one in their body.

depends on (1)

Lean names referenced from this declaration's body.

declarations in this module (9)