Emergence of Classical Transport Dynamics from Variational Dissipative Conservative Evolution

This deposit contains the paper “Emergence of a Quantum-Analogue Regime from Variational Dissipative–Conservative Dynamics” by Kevin Ellis Anderson. The paper analyses a regime of a previously introduced variational dissipative–conservative partial differential equation framework in which the conservative oscillatory sector admits an effective quantum-like description. Starting from deterministic Hamiltonian evolution coupled to auxiliary dissipative degrees of freedom, the work shows that an amplitude–phase decomposition of the oscillatory field yields a Schrödinger-type equation with an emergent effective Planck constant. The resulting dynamics are formally equivalent to quantum mechanics within a specific regime of validity, while remaining embedded in a broader variational system that also supports decoherent and classical limits. No modification of unitary evolution is introduced, and no stochastic elements, collapse postulates, or hidden variables are assumed. The paper does not propose a revision of quantum theory. Rather, it situates quantum behaviour as a regime arising from deterministic variational dynamics, with effective parameters determined by the underlying free-energy functional and coupling structure.