English

Emergent cosmology and gravity from quantum time?

General Relativity and Quantum Cosmology 2026-07-06 v1 Mathematical Physics History and Philosophy of Physics Quantum Physics

Abstract

Macroscopic observables allow the recovery of intrinsic dynamics from stationary quantum states. I show that, by interpreting the squared amplitude as the probability density for each definite value of intrinsic time, a curvature emerges in the time direction. For example, from the perspective of intrinsic quantum time, the Friedmann-Lema\^itre-Robertson-Walker cosmological model emerges from spherically symmetric stationary solutions in four-dimensional Euclidean space, without presupposing gravity. If there is no unique direction of time, curvature emerges in all spacetime dimensions, without presupposing gravity, from the variable amplitude of the stationary wavefunction alone. This opens a new possibility that general relativity or some modification of it emerges from intrinsic time observables.

Cite

@article{arxiv.2607.05020,
  title  = {Emergent cosmology and gravity from quantum time?},
  author = {Ovidiu Cristinel Stoica},
  journal= {arXiv preprint arXiv:2607.05020},
  year   = {2026}
}

Comments

12 pages, 3 figures. Comments welcome!