Why space could be quantised on a different scale to matter
Abstract
The scale of quantum mechanical effects in matter is set by Planck's constant, . This represents the quantisation scale for material objects. In this article, we present a simple argument why the quantisation scale for space, and hence for gravity, may not be equal to . Indeed, assuming a single quantisation scale for both matter and geometry leads to the `worst prediction in physics', namely, the huge difference between the observed and predicted vacuum energies. Conversely, assuming a different quantum of action for geometry, , allows us to recover the observed density of the Universe. Thus, by measuring its present-day expansion, we may in principle determine, empirically, the scale at which the geometric degrees of freedom should be quantised.
Cite
@article{arxiv.2005.12724,
title = {Why space could be quantised on a different scale to matter},
author = {Matthew J. Lake},
journal= {arXiv preprint arXiv:2005.12724},
year = {2021}
}
Comments
5 pages of main text summarising the contents of a talk given at the 4th International Conference on Holography, String Theory and Discrete Approach, Hanoi, 3rd-8th August 2020, plus an appendix giving technical the details of the model. No figures. Published version