Modification of Heisenberg uncertainty relations in noncommutative Snyder space-time geometry

被引：70

作者：

Battisti, Marco Valerio ^{[1
,2
,3
]}

Meljanac, Stjepan ^{[3
]}

机构：

[1] Univ Roma, Dipartimento Fis G9, I-00185 Rome, Italy

[2] Univ Roma, ICRA, I-00185 Rome, Italy

[3] Rudjer Bovskov Inst, HR-10002 Zagreb, Croatia

来源：

PHYSICAL REVIEW D | 2009年 / 79卷 / 06期

关键词：

DOUBLY SPECIAL RELATIVITY; QUANTUM-MECHANICS; STRING THEORY; PRINCIPLE; LENGTH; GRAVITY; REALIZATIONS; SCALE; MODEL;

D O I：

10.1103/PhysRevD.79.067505

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We show that the Euclidean Snyder noncommutative space implies infinitely many different physical predictions. The distinct frameworks are specified by generalized uncertainty relations underlying deformed Heisenberg algebras. Considering the one-dimensional case in the minisuperspace arena, the bouncing Universe dynamics of loop quantum cosmology can be recovered.

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页数：4

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[33] Where does black-hole entropy Lie? Some remarks on area-entropy law, holographic principle and noncommutative space-time [J].

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[34] Fermion Interactions, Cosmological Constant and Space-Time Dimensionality in a Unified Approach Based on Affine Geometry [J].

Capozziello, Salvatore ;

Cirilo-Lombardo, Diego Julio ;

Dorokhov, Alexander E. .

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[35] An Approach to Classical Quantum Field Theory Based on the Geometry of Locally Conformally Flat Space-Time [J].

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ADVANCES IN MATHEMATICAL PHYSICS, 2017, 2017

[36] Uncertainty-Aware Linear Schedule Optimization: A Space-Time Constraint-Satisfaction Approach [J].

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Razavi, Saiedeh .

JOURNAL OF CONSTRUCTION ENGINEERING AND MANAGEMENT, 2017, 143 (05)

[37] Entropic Uncertainty Relation for Dirac Particles in Garfinkle-Horowitz-Strominger Dilation Space-Time [J].

Zhang, Zuo-Yuan ;

Liu, Jin-Ming ;

Hu, Zhengfeng ;

Wang, Yuzhu .

ANNALEN DER PHYSIK, 2018, 530 (11)

[38] Analysis of the Relations Between Daily Space-Time Behaviours and Modal Practices. The Case of Switzerland [J].

Hausser, Armelle ;

Drevon, Guillaume ;

Gumy, Alexis ;

Kaufmann, Vincent .

DISP, 2020, 56 (01) :22-31

[39] Testing the space-time geometry around black hole candidates with the analysis of the broad Kα iron line [J].

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[40] Colella-Overhauser-Werner test of the weak equivalence principle: A low-energy window to look into the noncommutative structure of space-time? [J].

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