On the time delay between ultra-relativistic particles

The time delay between the receptions of ultra-relativistic particles emitted simultaneously is a useful observable for both fundamental physics and cosmology. The expression of the delay when the particles travel through an arbitrary spacetime has been derived recently by Fanizza et al., using a pa...

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Main Author: Pierre Fleury
Format: Article
Language:English
Published: Elsevier 2016-09-01
Series:Physics Letters B
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269316303513
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spelling doaj-472b168366ba4127a5b89cd33f0d91072020-11-24T22:54:22ZengElsevierPhysics Letters B0370-26931873-24452016-09-01760C35035310.1016/j.physletb.2016.07.010On the time delay between ultra-relativistic particlesPierre Fleury0Department of Mathematics and Applied Mathematics, University of Cape Town, Rondebosch 7701, Cape Town, South AfricaThe time delay between the receptions of ultra-relativistic particles emitted simultaneously is a useful observable for both fundamental physics and cosmology. The expression of the delay when the particles travel through an arbitrary spacetime has been derived recently by Fanizza et al., using a particular coordinate system and self-consistent assumptions. The present article shows that this formula enjoys a simple physical interpretation: the relative velocity between two ultra-relativistic particles is constant. This result reveals an interesting kinematical property of general relativity, namely that the tidal forces experienced by ultra-relativistic particles in the direction of their motion are much smaller than those experienced orthogonally to their motion.http://www.sciencedirect.com/science/article/pii/S0370269316303513General relativityNeutrinosCosmic rays
collection DOAJ
language English
format Article
sources DOAJ
author Pierre Fleury
spellingShingle Pierre Fleury
On the time delay between ultra-relativistic particles
Physics Letters B
General relativity
Neutrinos
Cosmic rays
author_facet Pierre Fleury
author_sort Pierre Fleury
title On the time delay between ultra-relativistic particles
title_short On the time delay between ultra-relativistic particles
title_full On the time delay between ultra-relativistic particles
title_fullStr On the time delay between ultra-relativistic particles
title_full_unstemmed On the time delay between ultra-relativistic particles
title_sort on the time delay between ultra-relativistic particles
publisher Elsevier
series Physics Letters B
issn 0370-2693
1873-2445
publishDate 2016-09-01
description The time delay between the receptions of ultra-relativistic particles emitted simultaneously is a useful observable for both fundamental physics and cosmology. The expression of the delay when the particles travel through an arbitrary spacetime has been derived recently by Fanizza et al., using a particular coordinate system and self-consistent assumptions. The present article shows that this formula enjoys a simple physical interpretation: the relative velocity between two ultra-relativistic particles is constant. This result reveals an interesting kinematical property of general relativity, namely that the tidal forces experienced by ultra-relativistic particles in the direction of their motion are much smaller than those experienced orthogonally to their motion.
topic General relativity
Neutrinos
Cosmic rays
url http://www.sciencedirect.com/science/article/pii/S0370269316303513
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