Unity (Unified Neural and Quantum Integrity Theory)
Abstract:
We propose an explicitly testable unified framework in which (i) the emergence of defi-nite measurement outcomes from quantum superposition and (ii) the emergence of conscious, unified experience are treated as two manifesta tions of the same metastability-to-stability transition in a structured pattern space. The theory is grounded in two primitives: dis-tinction acts Ξ (elementary differentiation) and a structuring operator (composition into persistent organization). Any realizable pattern P is characterized by an integrity functional I(P ) [0, 1] (internal coherence and resistance to fragmentation) and an effective coher-ence radius Rc (P ) (correlation length in physical, neural, or semantic space). Metastable patterns are postulated to satisfy a balance law, I(P )Rc(P ) = ξ0 , defining a slow man ifold whose deviations quantify instability and foreshadow transition events. To encode collapse-like transitions and outcome/contents selection with minimal topolog-ical complexity, states are represented on a toroidal manifold T 2 with angles (θ, φ), where φ is a collapse (stability) order parameter (wave-like at φ = π, particle-like at φ = 0) and θ labels branch phase. A harmonic closure postulate 2R = 2πr yields R/r = π without inserting π as a fit parameter, motivating a universal residual fraction 1/π and a complementary critical integrity threshold C2 = 1 1/π 0.682 for robust self-referential Patterns of Experience. Dynamics are formulated as noisy relaxation of balance-mismatch, predicting critical slowing down and a universal critical angle φc 2π/3 (under the closure hypothesis). Apparent ran-domness is attributed to phase sensitivity and noise, with outcome probabilities expressed as basin measures in θ, providing a concrete route to Born-like statistics under contextual constraints. The empirical program specifies operational proxies for I and Rc (with explicit calibration to [0, 1]) and proposes falsifiable tests in neuroscience (EEG/MEG/ECoG; invariance of C2 , early-warning signals, phase “freezing”) and quantum platforms (context engineering, weak/continuous measurement, complexity scaling of collapse times). Clear failure modes include sys tematic deviation from C2 , absence of critical slowing down, and non-clustering of inferred φc near 2π/3.
