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Æther field, Casimir energy and stabilization of the extra dimension

2009/05/31 by A. Chatrabhuti, A Chatrabhuti, P. Patcharamaneepakorn +3 · 2 citations
Physics and Astronomy · #Casimir effect #Casimir pressure #Connection (principal bundle) #Cosmology and Gravitation Theories #De Sitter universe #Energy condition #Extra dimensions #Field (mathematics) #Massless particle #Noncommutative and Quantum Gravity Theories #Quantum Electrodynamics and Casimir Effect #Spacetime #Universe #Vacuum energy #gr-qc #hep-th

paper · pdf · doi:10.1088/1126-6708/2009/08/019

published as JHEP 0908:019,2009 · 19 pages, 5 figures, added references and comments from referee

openalex publication_date 2009/08/06 · arxiv created 2009/08/11 · arxiv updated 2010/04/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

In our five-dimensional cosmological model, we investigate the role of a Lorentz violating vector "æther" field on the moduli stabilization mechanism. We consider the case of a space-like æther field on a compact circle with Maxwell-type kinetic term. The Casimir energy of certain combinations of massless and massive bulk fields generates a stabilizing potential for the radius of the compact direction while driving the accelerated expansion in the non-compact directions. It is shown that the æther field can reduce the influence of the Casimir force and slow down the oscillation of the radion field. This property proves crucial to the stability of the extra dimension in the universe where non-relativistic matter is present. We speculate that this scenario might reveal a hidden connection between the dimensionality of spacetime and the spontaneous breaking of Lorentz symmetry.

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