eightTickCadence_eq
plain-language theorem explainer
The equality fixes the eight-tick cadence at exactly 8 in units where the fundamental time quantum equals 1. Researchers deriving recognition bandwidth from holographic bounds would cite this to anchor the cycle time in the rate formula. The proof is a term-mode reduction that unfolds the cadence definition and applies ring normalization.
Claim. With the fundamental time quantum set to unity, the eight-tick cadence equals 8, so that one processing cycle occupies exactly eight base intervals.
background
Recognition Science defines the eight-tick cadence as the period for one full cycle of the recognition operator, expressed as 8 times the fundamental time quantum. The module on recognition bandwidth combines this with the holographic bound on information capacity and the per-bit recognition cost to obtain a maximum event rate. Upstream results supply the base time quantum as the constant 1 and its abbreviation, together with the structure of ledger constants from the law of existence.
proof idea
The term proof unfolds the definition of the eight-tick cadence together with the abbreviations for the time quantum and tick, then invokes the ring tactic to reduce the resulting arithmetic expression to 8.
why it matters
This pins the numerical factor in the recognition bandwidth formula that unifies holographic capacity, per-bit cost, and the eight-tick processing rate, realizing the T7 octave landmark of the forcing chain. The module positions the result as one of the core connections among previously separate elements of Recognition Science. No open questions remain as the equality is fully discharged.
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