English

Semiclassical world is one of infinite many cloneworlds in common spacetime

General Relativity and Quantum Cosmology 2025-05-28 v2 Quantum Physics

Abstract

We consider NN clones of the quantized world, interacting with each other via quantum gravity, coupled by the downscaled Newton constant G/NG/N. In the limit NN\rightarrow\infty, we obtain the semiclassical Einstein equation for every single cloneworld. In the non-relativistic limit, De Filippo had already obtained the semiclassical Schr\"odinger-Newton equation, we present an alternative elementary proof. In the general relativistic case we complete the semi-finished derivation of Hartle and Horowitz. We compare our simple correlated cloneworlds with Stamp's more complicated proposal of correlated worldlines and show why they differ despite the conceptual similarity.

Keywords

Cite

@article{arxiv.2412.05740,
  title  = {Semiclassical world is one of infinite many cloneworlds in common spacetime},
  author = {Lajos Diósi},
  journal= {arXiv preprint arXiv:2412.05740},
  year   = {2025}
}

Comments

5pp, slightly improved ms, reflection on closely related 1981 paper of Hartle and Horowitz