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module module moderate

IndisputableMonolith.Geology.RockCycleFromConfigDim

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The module defines rock states, their counts, and cycle certifications derived from configuration dimension in the Recognition Science geology setting. Researchers applying the phi-ladder or forcing chain to geological processes would cite these objects. It is a pure definition module that imports only Constants and introduces four sibling declarations without any proofs.

claimThe module introduces the type RockState for rock configurations, the function rockState_count, the type RockCycleCert, and the function rockCycleCert, all parameterized by configuration dimension in RS-native units with base time quantum τ₀ = 1 tick.

background

This module sits in the geology domain and imports only Mathlib plus IndisputableMonolith.Constants. The upstream Constants module supplies the single fact that the fundamental RS time quantum is τ₀ = 1 tick. The four sibling declarations (RockState, rockState_count, RockCycleCert, rockCycleCert) therefore operate inside the same RS-native units already fixed by the forcing chain T0–T8 and the Recognition Composition Law.

proof idea

This is a definition module, no proofs.

why it matters in Recognition Science

The module supplies the rock-cycle objects that any later geology theorem in the Recognition framework must reference. It directly implements the geological reading of D = 3 and the eight-tick octave by tying rock states to configuration dimension. No downstream uses are recorded yet, leaving the parent theorem slot open for future work on geological cycles.

scope and limits

depends on (1)

Lean names referenced from this declaration's body.

declarations in this module (4)