2017/02/07 by Maaneli Derakhshani, Derakhshani, Maaneli
Economics, Econometrics and Finance · Engineering · Mathematics · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Mathematical and Theoretical Analysis #Quantum Physics (quant-ph) #Reservoir Engineering and Simulation Methods #Stochastic processes and financial applications
paper · pdf · doi:10.48550/arxiv.1702.02472
openalex publication_date 2017/02/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Continuing the development of the ZSM-Newton/Coulomb approach to semiclassical Newtonian gravity/electrodynamics [1], we formulate a ZSM-Newton/Coulomb version of the large N approximation scheme proposed by Oriols et al. [2]. We show that this new large N scheme makes it possible to self-consistently describe the center-of-mass evolution of a large number of gravitationally/electrostatically interacting, identical, zbw particles, without assuming that the particles are weakly coupled, and without entailing the problematic macroscopic semiclassical gravitational/electrostatic cat states characteristic of the mean-field Schrödinger-Newton/Coulomb equations. We also show how to recover N-particle classical Newtonian gravity/electrodynamics for many gravitationally/electrostatically interacting macroscopic particles (composed of many interacting zbw particles), as well as classical Vlasov-Poisson mean-field theory for macroscopic particles weakly interacting gravitationally/electrostatically. Finally, we outline an explicit model of environmental decoherence that can be incorporated into Oriols et al.'s scheme as applied to ZSM-Newton/Coulomb.