Details
| Original language | English |
|---|---|
| Pages (from-to) | 639-647 |
| Number of pages | 9 |
| Journal | Modern Physics Letters A |
| Volume | 21 |
| Issue number | 8 |
| Publication status | Published - 14 Mar 2006 |
Abstract
By considering a new form of dimensional reduction for noncommutative field theory, we show that the signature of spacetime may be changed. In particular, it is demonstrated that a temporal dimension can emerge from a purely Euclidean geometry. We suggest that this mechanism may hint at the origin of time in the fundamental theory of quantum gravity.
Keywords
- Causality, Dimensional reduction, Noncommutative geometry
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
- Physics and Astronomy(all)
- Astronomy and Astrophysics
- Physics and Astronomy(all)
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In: Modern Physics Letters A, Vol. 21, No. 8, 14.03.2006, p. 639-647.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Emergence of time from dimensional reduction in noncommutative geometry
AU - Chu, Chong Sun
AU - Lechtenfeld, Olaf
N1 - Funding Information: C.S.C. would like to thank Pei-Ming Ho, Miao Li and Washington Taylor for helpful discussions and comments. O.L. thanks Alexander D. Popov for remarks. C.S.C. acknowledges the support of EPSRC through an advanced fellowship. The work of O.L. is partially supported by the Deutsche Forschungsgemeinschaft (DFG). Copyright: Copyright 2008 Elsevier B.V., All rights reserved.
PY - 2006/3/14
Y1 - 2006/3/14
N2 - By considering a new form of dimensional reduction for noncommutative field theory, we show that the signature of spacetime may be changed. In particular, it is demonstrated that a temporal dimension can emerge from a purely Euclidean geometry. We suggest that this mechanism may hint at the origin of time in the fundamental theory of quantum gravity.
AB - By considering a new form of dimensional reduction for noncommutative field theory, we show that the signature of spacetime may be changed. In particular, it is demonstrated that a temporal dimension can emerge from a purely Euclidean geometry. We suggest that this mechanism may hint at the origin of time in the fundamental theory of quantum gravity.
KW - Causality
KW - Dimensional reduction
KW - Noncommutative geometry
UR - http://www.scopus.com/inward/record.url?scp=33644982575&partnerID=8YFLogxK
U2 - 10.1142/S0217732306019785
DO - 10.1142/S0217732306019785
M3 - Article
AN - SCOPUS:33644982575
VL - 21
SP - 639
EP - 647
JO - Modern Physics Letters A
JF - Modern Physics Letters A
SN - 0217-7323
IS - 8
ER -