Why space could be quantised on a different scale to matter

• URL: http://arxiv.org/abs/2005.12724v3
• Date: Mon, 16 Aug 2021 10:55:53 GMT
• Title: Why space could be quantised on a different scale to matter
• Authors: Matthew J. Lake
• Abstract summary: The scale of quantum mechanical effects in matter is set by Planck's constant, $hbar$. We argue that the quantisation scale for space, and hence for gravity, may not be equal to $hbar$.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The scale of quantum mechanical effects in matter is set by Planck's constant, $\hbar$. 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 $\hbar$. 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, $\beta \ll \hbar$, 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.

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