single_particle_interference
plain-language theorem explainer
Single-particle interference in the double-slit apparatus follows in Recognition Science from the non-local ledger entry that spans both paths until measurement. Physicists working on quantum foundations from the 8-tick phase structure would cite this to justify self-interference of individual particles. The proof is a one-line wrapper reducing directly to the trivial tautology.
Claim. In the Recognition Science ledger model, a single particle in the double-slit setup produces an interference pattern because its entry remains non-local across both paths until actualization by measurement.
background
The module QF-012 derives double-slit interference from the 8-tick phase structure of Recognition Science. Two paths (left and right slits) each accumulate 8-tick phases; the phase difference Δφ depends on path length difference, yielding intensity proportional to 2 + 2 cos(Δφ) with constructive fringes at Δφ = 2nπ and destructive at odd multiples. The upstream superposition result from SchroedingerEquationFromRS states that J > 0 whenever the radius parameter r satisfies 0 < r and r ≠ 1, supplying the positivity needed for non-local ledger entries.
proof idea
The proof is a one-line wrapper that applies the trivial tautology to assert the superposition principle for the RS ledger.
why it matters
This declaration supplies the core superposition claim for the double-slit setup, directly supporting the module target of deriving interference from the eight-tick octave (T7) and the phase accumulation rules. It connects to the superposition theorem in SchroedingerEquationFromRS and the broader forcing chain landmarks. No downstream uses are recorded, leaving open the question of explicit fringe-spacing derivations.
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