Critical Analysis of Replacing Dark Matter and Dark Energy with a Model of Stochastic Spacetime

Abstract

We analyze consequences of trying to replace dark matter and dark energy with models of stochastic spacetime. In particular, we analyze the model put forth by Ref. [1], in which it is claimed that ``post-quantum classical gravity" (PQCG), a stochastic theory of gravity, leads to modified Newtonian dynamics (MOND) behavior on galactic scales that reproduces galactic rotation curves, and leads to dark energy. We show that this analysis has four basic problems: (i) the equations of PQCG do not lead to a new large scale force of the form claimed in the paper, (ii) the form claimed is not of the MONDian form anyhow and so does not correspond to observed galactic dynamics, (iii) the spectrum of fluctuations is very different from observations, and (iv) we also identify some theoretical problems in these models.

arXiv comment10 pages in double column format, 1 figure. V2: More details including analysis of fluctuations. V3: Further details. V4: Analysis of temporal correlations. V5: Updated towards version accepted for publication in JCAP

References in corpus (7)

• Planck 2018 results. I. Overview and the cosmological legacy of Planck
• Sub-millimeter Tests of the Gravitational Inverse-square Law
• The Effective Field Theory of Dark Matter and Structure Formation: Semi-Analytical Results
• The weak field limit of quantum matter back-reacting on classical spacetime
• Effective cosmological constant induced by stochastic fluctuations of Newton's constant
• Covariant path integrals for quantum fields back-reacting on classical space-time
• Anomalous contribution to galactic rotation curves due to stochastic spacetime