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Exploring the Causal Structures of Almost Commutative Geometries

Vernadsky National Library of Ukraine

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Title Exploring the Causal Structures of Almost Commutative Geometries
 
Creator Franco, N.
Eckstein, M.
 
Description We investigate the causal relations in the space of states of almost commutative Lorentzian geometries. We fully describe the causal structure of a simple model based on the algebra S(R¹,¹)⊗M₂(C), which has a non-trivial space of internal degrees of freedom. It turns out that the causality condition imposes restrictions on the motion in the internal space. Moreover, we show that the requirement of causality favours a unitary evolution in the internal space.
 
Date 2019-02-11T17:08:13Z
2019-02-11T17:08:13Z
2014
 
Type Article
 
Identifier Exploring the Causal Structures of Almost Commutative Geometries / N. Franco, M. Eckstein // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 28 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 58B34; 53C50; 54F05
DOI:10.3842/SIGMA.2014.010
http://dspace.nbuv.gov.ua/handle/123456789/146845
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України