flipTick
plain-language theorem explainer
The declaration introduces flipTick as the natural number 512. It supplies the offset for phase-lag predicates in the oscillator model of the Breath1024 module. Researchers modeling fixed phase shifts in Recognition Science cite this constant when building diagnostic predicates over octaves. The definition is a direct constant assignment with no lemmas or tactics required.
Claim. Define the flip tick offset as the natural number $512$.
background
The Breath1024 module models oscillatory patterns with a 1024-tick period, drawing on the eight-tick octave structure from the unified forcing chain. flipTick is introduced here as a constant offset. The downstream flipAt512 applies this offset to assert that for an oscillator O the red component at shifted time equals the green component, encoding a fixed phase lead of π/4 at the sinusoidal probe level.
proof idea
This is a direct definition that assigns the value 512 to flipTick. No upstream lemmas are applied and no tactics are used.
why it matters
This constant supplies the numerical offset required by flipAt512 to express the fixed phase-lag predicate. It aligns with the eight-tick octave (T7) in the forcing chain and supports diagnostic representations of phase shifts in the Recognition framework.
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