Semiclassical world is one of infinite many cloneworlds in common spacetime

We consider $N$ clones of the quantized world, interacting with each other via quantum gravity, coupled by the downscaled Newton constant $G/N$. In the limit $N\ensuremath{\rightarrow}\ensuremath{\infty}$, we obtain the semiclassical Einstein equation for every single cloneworld. In the nonrelativistic 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 semifinished derivation of Hartle and Horowitz. We compare our simple correlated cloneworlds with Stamp's more complicated proposal of correlated worldlines and show why the two constructions differ despite the conceptual similarity.

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Publication Details

Journal
Physical review. D/Physical review. D.
Published
2025-05-20
DOI
https://doi.org/10.1103/physrevd.111.104065
Primary Topic
Quantum Mechanics and Applications
Type
article
Field-Weighted Citation Impact
0.00

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article

Semiclassical world is one of infinite many cloneworlds in common spacetime

Lajos Diósi
Physical review. D/Physical review. D.
Quantum Mechanics and Applications
article

Semiclassical world is one of infinite many cloneworlds in common spacetime

Lajos Diósi
article en

Abstract

We consider $N$ clones of the quantized world, interacting with each other via quantum gravity, coupled by the downscaled Newton constant $G/N$. In the limit $N\ensuremath{\rightarrow}\ensuremath{\infty}$, we obtain the semiclassical Einstein equation for every single cloneworld. In the nonrelativistic 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 semifinished derivation of Hartle and Horowitz. We compare our simple correlated cloneworlds with Stamp's more complicated proposal of correlated worldlines and show why the two constructions differ despite the conceptual similarity.

Physical review. D/Physical review. D.Vol. 111(10)
Eötvös Loránd University (HU), HUN-REN Wigner Research Centre for Physics (HU)
Nemzeti Kutatási Fejlesztési és Innovációs Hivatal
Openalex Percentile: Top 92%
Quantum Mechanics and Applications
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