NDLI: Physical vacuum properties and internal space dimension

Content Provider	Springer Nature Link
Author	Gorbatenko, M. V. Pushkin, A. V.
Copyright Year	2005
Abstract	The paper addresses matrix spaces, whose properties and dynamics are determined by Dirac matrices in Riemannian spaces of different dimension and signature. Among all Dirac matrix systems there are such ones, which nontrivial scalar, vector or other tensors cannot be made up from. These Dirac matrix systems are associated with the vacuum state of the matrix space. The simplest vacuum system realization can be ensured using the orthonormal basis in the internal matrix space. This vacuum system realization, however, is not unique. The case of 7-dimensional Riemannian space of signature 7(−) is considered in detail. In this case two basically different vacuum system realizations are possible: (1) with using the orthonormal basis; (2) with using the oblique-angled basis, whose base vectors coincide with the simple roots of the Lie algebra E 8.Considerations are presented, from which it follows that the least-dimen-si-on space bearing on physics is the Riemannian 11-dimensional space of signature 1(−)& 10(+). The considerations consist in the condition of maximum vacuum energy density and vacuum fluctuation energy density.
Starting Page	1705
Ending Page	1718
Page Count	14
File Format	PDF
ISSN	00017701
Journal	General Relativity and Gravitation
Volume Number	37
Issue Number	10
e-ISSN	15729532
Language	English
Publisher	Springer US
Publisher Date	2005-10-13
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Dirac matrix Vacuum fluctuation Astronomy, Astrophysics and Cosmology Quantum Physics Differential Geometry Relativity and Cosmology Mathematical and Computational Physics
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy

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