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Time discretization from noncommutativity

delete2021-07-01
delete16
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OA
AI
F
Fedele Lizzi *
P
Patrizia Vitale *
DOI:10.1016/j.physletb.2021.136372delete
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摘要

摘要

En 中文
We show that a particular noncommutative geometry, sometimes called angular or rho-Minkowski, requires that the spectrum of time be discrete. In this noncommutative space the time variable is not commuting with the angular variable in cylindrical coordinates. The possible values that the variable can take go from minus infinity to plus infinity, equally spaced by the scale of noncommutativity. Possible self-adjoint extensions of the time operator are discussed. They give that a measurement of time can be any real value, but time intervals are still quantized. (C) 2021 The Authors. Published by Elsevier B.V.
Keyword:
SPACE
ALGEBRA

期刊

Physics Letters B 封面图
Physics Letters B
IF:
4.5
论文数:
3.2W
被引数:
7.3W

机构

I
istituto nazionale di fisica nucleare (infn)
学者数:
3.0W
论文数: 1.2W
被引数: 14
U
University of Naples Federico II
学者数:
4.7W
论文数: 3.6W
被引数: 51
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