English

Relativistic Dynamical Collapse Model for a Scalar Field

Quantum Physics 2014-04-29 v2

Abstract

A natural generalization of the CSL (Continuous Spontaneous Localization) theory of dynamical collapse is applied to a relativistic quantum scalar field ϕ(x,t)\phi({\bf x},t). It is shown that the modified Schr\"odinger equation is relativistically invariant, that the probabilities associated to all possible values of the classical scalar random field w(x,t)w({\bf x},t) (which determines the eventual state of collapse) add up to 1, that there is no energy production out of the vacuum and, in the limit of large time, the collapse is toward eigenstates of ϕ(x,0)\phi({\bf x},0).

Keywords

Cite

@article{arxiv.1404.5074,
  title  = {Relativistic Dynamical Collapse Model for a Scalar Field},
  author = {Philip Pearle},
  journal= {arXiv preprint arXiv:1404.5074},
  year   = {2014}
}

Comments

The paper has been withdrawn because it requires two incompatible properties of the kernel G, that it be positive definite and that it not vanish only for space-like values of its argument

R2 v1 2026-06-22T03:54:30.700Z