Semiclassical world is one of infinite many cloneworlds in common spacetime

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 $N\to \infty$, we obtain the semiclassical Einstein equation for every single cloneworld. In the non-relativistic limit, De Filippo had already obtained the semiclassical Schrödinger-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.

arXiv comment5pp, slightly improved ms, reflection on closely related 1981 paper of Hartle and Horowitz

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