Acoustic Entrainment and Discrete Phase-Locking

Abstract

This seminal BRPT paper presents ‘Acoustic Entrainment and Discrete Phase-Locking,’ a rigorous empirical investigation into how periodically imposed temporal boundary constraints stabilize the perception of acoustic structure in continuous media. Moving beyond ‘Cold Logic’ challenges in understanding high-density wave fields, this work introduces a reproducible experimental protocol utilizing a dual-interval timing loop (9s:2s) superimposed over continuous musical arrangements. The paper models phase alignment and acoustic entrainment within a stochastic state-transition system, hypothesizing that a ‘zero-flux temporal constraint’ effectively dampens ‘trajectory divergence,’ supporting convergence toward a stable, perceived stationary distribution. It reveals a direct interpretive bridge to the ‘0.79 cosine invariance’ observed in computational text-critical database simulations (Project DORY), projecting how this wave cycle induces a state of rhythmic entrainment within the human nervous system. This groundbreaking protocol demonstrates that structural determinacy, governed by the 4.5 Sovereign Constant (9:2) and an Invariant Core of underlying musical meter, reduces ‘internal cognitive noise’ and produces ‘heightened situational awareness,’ ultimately leading to Phase-Locked Coherence (L₀) and Systemic Peace by explicitly connecting subjective perception to a ‘common underlying mechanism’ and challenging the ‘explanatory limits of standard attention-shifting models’.