Classical-physics applications for Finsler b space

The classical propagation of certain Lorentz-violating fermions is known to be governed by geodesics of a four-dimensional pseudo-Finsler b space parametrized by a prescribed background covector field. This work identifies systems in classical physics that are governed by the three-dimensional versi...

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Main Authors:	Joshua Foster, Ralf Lehnert
Format:	Article
Language:	English
Published:	Elsevier 2015-06-01
Series:	Physics Letters B
Online Access:	http://www.sciencedirect.com/science/article/pii/S0370269315002907

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spelling	doaj-c610ed7a0942446485cd0180a95ae8e52020-11-24T21:35:11ZengElsevierPhysics Letters B0370-26932015-06-01746164170Classical-physics applications for Finsler b spaceJoshua Foster0Ralf Lehnert1Physics Department, Indiana University, Bloomington, IN 47405, USAIndiana University Center for Spacetime Symmetries, Bloomington, IN 47405, USA; Corresponding author.The classical propagation of certain Lorentz-violating fermions is known to be governed by geodesics of a four-dimensional pseudo-Finsler b space parametrized by a prescribed background covector field. This work identifies systems in classical physics that are governed by the three-dimensional version of Finsler b space and constructs a geodesic for a sample non-constant choice for the background covector. The existence of these classical analogues demonstrates that Finsler b spaces possess applications in conventional physics, which may yield insight into the propagation of SME fermions on curved manifolds.http://www.sciencedirect.com/science/article/pii/S0370269315002907
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Joshua Foster Ralf Lehnert
spellingShingle	Joshua Foster Ralf Lehnert Classical-physics applications for Finsler b space Physics Letters B
author_facet	Joshua Foster Ralf Lehnert
author_sort	Joshua Foster
title	Classical-physics applications for Finsler b space
title_short	Classical-physics applications for Finsler b space
title_full	Classical-physics applications for Finsler b space
title_fullStr	Classical-physics applications for Finsler b space
title_full_unstemmed	Classical-physics applications for Finsler b space
title_sort	classical-physics applications for finsler b space
publisher	Elsevier
series	Physics Letters B
issn	0370-2693
publishDate	2015-06-01
description	The classical propagation of certain Lorentz-violating fermions is known to be governed by geodesics of a four-dimensional pseudo-Finsler b space parametrized by a prescribed background covector field. This work identifies systems in classical physics that are governed by the three-dimensional version of Finsler b space and constructs a geodesic for a sample non-constant choice for the background covector. The existence of these classical analogues demonstrates that Finsler b spaces possess applications in conventional physics, which may yield insight into the propagation of SME fermions on curved manifolds.
url	http://www.sciencedirect.com/science/article/pii/S0370269315002907
work_keys_str_mv	AT joshuafoster classicalphysicsapplicationsforfinslerbspace AT ralflehnert classicalphysicsapplicationsforfinslerbspace
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Classical-physics applications for Finsler b space

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