A freely falling frame at the interface of gravitational and quantum realms

被引:27
作者
Ahluwalia-Khalilova, DV
机构
[1] ASGBG, Zacatecas 98060, Mexico
[2] Univ Zacatecas UAZ, Dept Math, Ctr Math Phys & Biol Struct Universe CIU, Zacatecas 98060, Mexico
关键词
D O I
10.1088/0264-9381/22/7/015
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
I briefly argue for logical necessity to incorporate, besides c, h, two fundamental length scales in the symmetries associated with the interface of gravitational and quantum realms. Next, in order to clear the proverbial bush, I discuss the CPT and indistinguishability issue related to recent nonlinear deformations of special relativity and suggest why algebraically well-defined extensions of special relativity do not require nonlinear deformations. That done, I suggest why the stable Snyder-Yang-Mendes Lie algebra should be considered as a serious candidate for the symmetries underlying freely falling frames at the interface of gravitational and quantum realms; thus echoing, and complementing, arguments recently put forward by Chryssomalakos and Okon. In the process I obtain concrete form of uncertainty relations which involve above-indicated length scales and a new dimensionless constant. I draw attention to the fact that because superconducting quantum interference devices can carry roughly 10(23) Cooper pairs in a single quantum state, Planck-mass quantum systems already exist in the laboratory. These may be used for possible exploration of the interface of the gravitational and quantum realms.
引用
收藏
页码:1433 / 1450
页数:18
相关论文
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