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Coherent states for 3d deformed special relativity: semi-classical points in a quantum flat spacetime
Author(s) -
Etera R. Livine,
Daniele Oriti
Publication year - 2005
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2005/11/050
Subject(s) - spacetime , causal sets , spacetime topology , coherent states , doubly special relativity , general relativity , problem of time , mathematics of general relativity , physics , theory of relativity , theoretical physics , stationary spacetime , quantum field theory in curved spacetime , classical mechanics , quantum gravity , quantum , four force , quantum mechanics , numerical relativity
We analyse the quantum geometry of 3-dimensional deformed special relativity(DSR) and the notion of spacetime points in such a context, identified withcoherent states that minimize the uncertainty relations among spacetimecoordinates operators. We construct this system of coherent states in both theRiemannian and Lorentzian case, and study their properties and their geometricinterpretation.Comment: RevTeX4, 20 page

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