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arXiv · 2501.08272

Quantum wormholes at spatial infinity

João Magueijo·Ganga Singh Manchanda
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Abstract

We derive the interesting result that the two asymptotically flat Universes classically linked by the Einstein-Rosen bridge may also be quantum mechanically connected in their far out regions. This would be felt by the Newtonian potential far away from a black/white hole system, and raises the possibility of establishing communication via perturbations. We obtain our results by means of wavepackets with a small variance in the mass, solving the equations derived from a maximally symmetry-reduced canonical quantisation method. Mass and a proxy of the Newtonian potential appear as canonical duals, leading to a Heisenberg uncertainty relation between the two. Coherent states are then built, which become non-semiclassical only in two regions: asymptotic spatial infinity (where unitarity forces the packets to ''feel'' the other asymptotic spatial infinity), and inside the horizon at $r=Gm$ where there is ringing. Whilst the latter has been noted in the literature, the former -- the quantum wormhole -- seems to have eluded past scrutiny. Further studies are required to examine the stability of these conclusions beyond their symmetry-reduced test tube.

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João Magueijo, Ganga Singh Manchanda. 2025-01-14. Quantum wormholes at spatial infinity. https://doi.org/10.1016/j.physletb.2025.139434

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