Abstract
This is the first in a two-part series in which we extend non-relativistic stochastic mechanics, in the ZSM formulation [1, 2], to semiclassical Newtonian gravity (ZSM-Newton) and semiclassical Newtonian electrodynamics (ZSM-Coulomb), under the assumption that the gravitational and electromagnetic fields are fundamentally classical (i.e., not independently quantized fields). Our key findings are: (1) a derivation of the usual N-particle Schr{ö}dinger equation for many particles interacting through operator-valued gravitational or Coulomb potentials, and (2) recovery of the `single-body' Schr{ö}dinger-Newton and Schr{ö}dinger-Coulomb equations as mean-field equations valid for systems of gravitationally and electrostatically interacting identical particles, respectively, in the weak-coupling large N limit. We also compare ZSM-Newton/Coulomb to semiclassical Newtonian gravity/electrodynamics approaches based on standard quantum theory, dynamical collapse theories, and the de Broglie-Bohm theory.
Original language | English |
---|---|
Title of host publication | Stochastic Mechanics Without Ad Hoc Quantization |
Subtitle of host publication | Theory And Applications To Semiclassical Gravity |
Publisher | Utrecht University |
Chapter | 4 |
ISBN (Print) | 978-94-028-0792-9 |
Publication status | Published - 19 Oct 2017 |
Keywords
- semiclassical
- Newtonian gravity
- Zitterbewegung
- Stochastic mechanics
- Nelson