English

Space cannot stretch too {\it fast}

High Energy Physics - Theory 2025-05-16 v1 General Relativity and Quantum Cosmology

Abstract

We argue that black holes microstates leave an imprint on the gravitational vacuum through their virtual fluctuations. This imprint yields a power law fall off -- rather than an exponential fall off -- for the entanglement of planck scale fluctuations at different points. These entanglements generate an extra energy when space stretches too {\it fast}, since causality prevents a relaxation of these entanglements to their vacuum values. We obtain semiclassical dynamics for slow processes like star formation, but a radical departure from semiclassicality when a black hole horizon forms even though curvatures remain low everywhere. This resolution of the information puzzle also implies an extra energy source at the scale of the cosmological horizon, which may explain the mysteries of dark energy and the Hubble tension.

Keywords

Cite

@article{arxiv.2505.10368,
  title  = {Space cannot stretch too {\it fast}},
  author = {Samir D. Mathur},
  journal= {arXiv preprint arXiv:2505.10368},
  year   = {2025}
}

Comments

13 pages, 4 figures, Essay awarded fifth prize in the Gravity Research Foundation 2025 Awards for Essays on Gravitation

R2 v1 2026-06-28T23:34:34.854Z