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Effective Decoherence from Variational Dissipative–Conservative Dynamics

Kevin Ellis-Anderson

Published Dec 19, 2025• 1 citation
Publisher

Abstract

This preprint develops a reduced dynamical description derived from a previously introduced variational dissipative–conservative PDE framework. Starting from a coupled system consisting of a unitary oscillatory field and a dissipative auxiliary field generated by a single free-energy functional, we show how effective decoherence arises when the auxiliary degrees of freedom are coarse-grained. The full system preserves unitary Hamiltonian evolution in the oscillatory sector, while non-unitary behaviour appears only at the reduced level through irreversible coupling. No collapse postulate, stochastic terms, or modification of quantum mechanics is introduced. The work focuses exclusively on decoherence and effective localisation as emergent phenomena within the variational framework and is intended as a companion to the foundational PDE formulation.

DOI
10.5281/zenodo.17986617

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