Please use this identifier to cite or link to this item:
N.B. This item was not published by TCD.
Physically motivated uncertainty relations at the Planck length for an emergent non-commutative spacetime
04.20.-q 02.40.Gh 04.60.-m 03.65.-w
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.
Departement of Theorethical Physics, Courant Research Centre "Higher Order Structures", University of Göttingen - Germany (Tomassini, Luca) Dipartimento di Matematica, Universitá di Roma "Tor Vergata" - Via della Ricerca Scientifica, 1-->
- I-00133 - Roma - Italy (Viaggiu, Stefano)
Please note: There is a known bug in some browsers that causes an
error when a user tries to view large pdf file within the browser window.
If you receive the message "The file is damaged and could not be
repaired", please try one of the solutions linked below based on the
browser you are using.
Items in TARA are protected by copyright, with all rights reserved, unless otherwise indicated.