Quantization of Gravity Based on a Condensed Matter Model

TL;DR

This paper proposes a condensed matter model as a microscopic basis for gravity, leading to a modified gravitational theory with observable differences from general relativity, including effects on cosmological evolution and black hole formation.

Contribution

It introduces a condensed matter framework to derive a gravity theory with additional cosmological constants, offering a new approach to quantum gravity and observable microscopic effects.

Findings

Gravity can emerge from condensed matter systems.

The model predicts two additional cosmological constants.

Black hole formation is halted, leading to evaporation without horizon formation.

Abstract

One way the ultraviolet problem may be solved is explicit physical regularization. In this scenario, QFT is only the long distance limit of some unknown non-Poincare-invariant microscopic theory. One can ask how complex and contrived such microscopic theories should be. We show that condensed matter in standard Newtonian framework is sufficient to obtain gravity. We derive a metrical theory of gravity with two additional to GR cosmological constants. The observable difference is similar to homogeneously distributed dark matter with p = -1/3 epsilon. resp. p = epsilon. The gravitational collapse stops before horizon formation and evaporates by Hawking radiation. The cutoff is not the Planck length, but expanding together with the universe. Thus, in some cosmological future microscopic effects become observable.