Quantum Self-Organization in Sutherland-Type Action-Reaction Dynamics

Christian Barker

Published May 29, 2026• 0 citations

Abstract

This paper folds a minimal full closure into a previously closure-neutral source-term framework for Sutherland-type action-reaction pilot-wave dynamics. The aim is not to claim an accepted extension of quantum mechanics, but to define a mathematically closed effective post-quantum candidate whose assumptions, conservation properties, and falsification conditions are explicit. The central object is the guidance mismatch field Delta p(x,t). In the closed model this mismatch is no longer free: it is fixed by a regularized weak-osmotic closure, Delta p = -lambda R_delta[Im(p_w)], where Im(p_w) is the imaginary component of the local momentum weak value. The raw Sutherland source s = (1/m) grad rho * Delta p is then globally compensated by sigma = s - Lambda rho, with Lambda chosen so that int sigma d^3x = 0. This produces local source-active redistribution without global norm creation. The corresponding wave equation contains a trace-preserving non-Hermitian effective term, i hbar (sigma/2rho) psi, while the particle-sector velocity is v_B + Delta p/m. The result is a closed dynamical loop psi -> rho,S -> Delta p -> s -> sigma -> psi, together with a particle-sector transport law. Downstream derivations are revised accordingly: branch drift becomes S_a - Lambda N_a, tunnelling corrections become S_B - Lambda N_B, local amplification requires s/rho - Lambda > div v_B, and linear onset is governed by deviation from the global source-per-mass average. The paper also preserves the frameworks epistemic boundary: no-signalling, relativistic extension, and derivation of lambda, delta, and the regularization length remain open problems.

DOI: 10.5281/zenodo.20451311

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