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General Relativity and Quantum Cosmology

arXiv:2402.19459 (gr-qc)
[Submitted on 29 Feb 2024]

Title:Anomalous contribution to galactic rotation curves due to
stochastic spacetime

Authors:Jonathan Oppenheim, Andrea Russo
Download a PDF of the paper titled Anomalous contribution to galactic
rotation curves due to stochastic spacetime, by Jonathan Oppenheim
and Andrea Russo
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    Abstract:We consider a proposed alternative to quantum gravity,
    in which the spacetime metric is treated as classical, even while
    matter fields remain quantum. Consistency of the theory
    necessarily requires that the metric evolve stochastically. Here,
    we show that this stochastic behaviour leads to a modification of
    general relativity at low accelerations.
    In the low acceleration regime, the variance in the acceleration
    produced by the gravitational field is high in comparison to that
    produced by the Newtonian potential, and acts as an entropic
    force, causing a deviation from Einstein's theory of general
    relativity. We show that in this "diffusion regime", the entropic
    force acts from a gravitational point of view, as if it were a
    contribution to the matter distribution.
    We compute how this modifies the expectation value of the metric
    via the path integral formalism, and find that an entropic force
    driven by a stochastic cosmological constant can explain galactic
    rotation curves without needing to evoke dark matter. We caution
    that a greater understanding of this effect is needed before
    conclusions can be drawn, most likely through numerical
    simulations, and provide a template for computing the deviation
    from general relativity which serves as an experimental signature
    of the Brownian motion of spacetime.

          General Relativity and Quantum Cosmology (gr-qc);
Subjects: Astrophysics of Galaxies (astro-ph.GA); High Energy Physics
          - Theory (hep-th)
Cite as:  arXiv:2402.19459 [gr-qc]
          (or arXiv:2402.19459v1 [gr-qc] for this version)
          https://doi.org/10.48550/arXiv.2402.19459
          Focus to learn more
          arXiv-issued DOI via DataCite

Submission history

From: Jonathan Oppenheim [view email]
[v1] Thu, 29 Feb 2024 18:52:40 UTC (173 KB)
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