Affiliation:
1. Sun Yat-sen University
2. Frankfurt Institute for Advanced Studies
3. Babeș-Bolyai University
4. Chiang Mai University
5. National Astronomical Research Institute of Thailand
Abstract
The scale of quantum mechanical effects in matter is set by Planck’s
constant, \hbarℏ.
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
\hbarℏ.
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 \hbarβ≪ℏ,
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.
Funder
Natural Science Foundation of Guangdong Province
Cited by
4 articles.
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