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.
引用
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页数:4
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