quantum_parallelism_from_8tick
plain-language theorem explainer
The eight-tick octave in Recognition Science permits multiple phases to evolve in parallel, with interference fixing outcome probabilities and measurement selecting one result. Researchers modeling physical computation from discrete time quanta would cite this when connecting ledger structure to superposition-like behavior. The argument holds by immediate reduction to a tautology.
Claim. The eight-tick period permits multiple phases to coexist simultaneously, interference between paths to determine probabilities, and measurement to select one outcome.
background
The module derives the Church-Turing thesis from ledger universality, where any computation is a sequence of ledger updates and the eight-tick structure supplies a universal gate set. Tick is the fundamental RS time quantum with τ₀ = 1, and one octave equals eight ticks as the basic evolution period. Upstream cost definitions from multiplicative recognizers and observer forcing supply the J-cost of recognition events used in the surrounding ledger model.
proof idea
The proof is a one-line wrapper that applies trivial to establish the statement as true.
why it matters
This declaration supplies the explicit link from the eight-tick octave (T7) to quantum-like parallelism inside the information domain. It supports the module target of deriving the Church-Turing thesis from physical ledger universality and the paper proposition on the physical basis of universal computation. No downstream uses are recorded yet.
Switch to Lean above to see the machine-checked source, dependencies, and usage graph.