Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2011-02-04
Class. Quantum Grav. 28 (2011) 075001
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
Final version published in "Class. Quantum Grav."
Scientific paper
10.1088/0264-9381/28/7/075001
We derive new space-time uncertainty relations (STUR) at the fundamental Planck length $L_P$ from quantum mechanics and general relativity (GR), both in flat and curved backgrounds. Contrary to claims present in the literature, our approach suggests that no minimal uncertainty appears for lengths, but instead for minimal space and four-volumes. Moreover, we derive a maximal absolute value for the energy density. Finally, some considerations on possible commutators among quantum operators implying our STUR are done.
Tomassini Luca
Viaggiu Stefano
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