English

Quantization of Gravity Based on a Condensed Matter Model

General Relativity and Quantum Cosmology 2007-05-23 v2

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.

Keywords

Cite

@article{arxiv.gr-qc/9807018,
  title  = {Quantization of Gravity Based on a Condensed Matter Model},
  author = {Ilja Schmelzer},
  journal= {arXiv preprint arXiv:gr-qc/9807018},
  year   = {2007}
}

Comments

7 pages Latex, no figures. Sign errors corrected

R2 v1 2026-07-22T12:55:11.127Z