We introduce a model of noncommutative geometry that gives rise to the uncertainty relations recently derived from the discussion of a quantum clock. We investigate the dynamics of a free particle in this model from the point of view of doubly special relativity and discuss the geodesic motion in a Schwarzschild background. (C) 2019 Elsevier B.V. All rights reserved.
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Indiana Univ Purdue Univ Indianapolis, Dept Math Sci, 402 N Blackford St, Indianapolis, IN 46202 USAIndiana Univ Purdue Univ Indianapolis, Dept Math Sci, 402 N Blackford St, Indianapolis, IN 46202 USA
Klimek, Slawomir
McBride, Matt
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Mississippi State Univ, Dept Math & Stat, 175 Presidents Cir, Mississippi State, MS 39762 USAIndiana Univ Purdue Univ Indianapolis, Dept Math Sci, 402 N Blackford St, Indianapolis, IN 46202 USA
McBride, Matt
Peoples, J. Wilson
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Penn State Univ, Dept Math, 107 McAllister Bld, State Coll, PA 16802 USAIndiana Univ Purdue Univ Indianapolis, Dept Math Sci, 402 N Blackford St, Indianapolis, IN 46202 USA
机构:Univ Salerno, Ist Nazl Fis Nucl, Dipartimento Fis ER Caianiello, I-84100 Salerno, Italy
Sivasubramanian, S
Srivastava, YN
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机构:Univ Salerno, Ist Nazl Fis Nucl, Dipartimento Fis ER Caianiello, I-84100 Salerno, Italy
Srivastava, YN
Vitiello, G
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Univ Salerno, Ist Nazl Fis Nucl, Dipartimento Fis ER Caianiello, I-84100 Salerno, ItalyUniv Salerno, Ist Nazl Fis Nucl, Dipartimento Fis ER Caianiello, I-84100 Salerno, Italy
Vitiello, G
Widom, A
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机构:Univ Salerno, Ist Nazl Fis Nucl, Dipartimento Fis ER Caianiello, I-84100 Salerno, Italy
机构:
CALTECH, Div Phys Math & Astron, Pasadena, CA 91125 USACALTECH, Div Phys Math & Astron, Pasadena, CA 91125 USA
Marcolli, Matilde
van Suijlekom, Walter D.
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Radboud Univ Nijmegen, Inst Math Astrophys & Particle Phys, NL-6525 AJ Nijmegen, NetherlandsCALTECH, Div Phys Math & Astron, Pasadena, CA 91125 USA