Super-Luminal Effects for Finsler Branes as a Way to Preserve the Paradigm of Relativity Theories
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Super-Luminal Effects for Finsler Branes as a Way to Preserve the Paradigm of Relativity Theories Sergiu I. Vacaru
Received: 26 December 2012 / Accepted: 16 February 2013 / Published online: 28 February 2013 © Springer Science+Business Media New York 2013
Abstract Using Finsler brane solutions [see details and methods in: S. Vacaru, Class. Quant. Grav. 28:215001, 2011], we show that neutrinos may surpass the speed of light in vacuum which can be explained by trapping effects from gravity theories on eight dimensional (co) tangent bundles on Lorentzian manifolds to spacetimes in general and special relativity. In nonholonomic variables, the bulk gravity is described by Finsler modifications depending on velocity/momentum coordinates. Possible superluminal phenomena are determined by the width of locally anisotropic brane (spacetime) and induced by generating functions and integration functions and constants in coefficients of metrics and nonlinear connections. We conclude that Finsler brane gravity trapping mechanism may explain neutrino super-luminal effects and almost preserve the paradigm of Einstein relativity as the standard one for particle physics and gravity. Keywords Super-luminal travel · Finsler branes · Modified gravity · Violation of local Lorentz symmetry 1 Introduction It was a very surprising result in experimental particle physics that neutrino may travel faster than light in vacuum [1]. Perhaps, that experiment was not correct and there are not other ones confirming it correctness. Nevertheless, that generated in a series of papers [2–14] with different explanations implementing Lorentz symmetric violations, extra dimensions, quantum corrections from different string, noncommutative, nonlinear dispersion theories etc. If the metrics in such theories depend on S.I. Vacaru () Mathematical Physics Project IDEI, Alexandru Ioan Cuza University, UAIC, Alexandru Lapu¸sneanu street, nr. 14, Corpus R, Office 323, Ia¸si, 700057, Romania e-mail: [email protected] url: www.scribd.com/people/view/1455460-sergiu
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Found Phys (2013) 43:719–732
“velocity/momentum” type variables with warping/trapping, there are possible also super-luminal physical effects. Classical and quantum physical theories with modifications of velocity/momentum constants and variables can be naturally modelled by modified dispersions and gravitational anisotropic polarizations of interaction constants and fields on (co) tangent bundles. Such nonlinear dispersion relations and related Finsler theories were studied in different approaches oriented to applications in modern cosmology, astrophysics and particle physics, or for elaborating generalized Finsler (super)string and noncommutative anisotropic gravity and nonholonomic Ricci flow theories, string/brane foam models etc. [15–30]. The goal of this letter is to show that super-luminal phenomena can be induced by trapping effects in Finsler gravity models [31] constructed on tangent bundles of Lorentzian manifolds for the general relativity theory (GR) and, in particular, when the
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