Super-Luminal Effects for Finsler Branes as a Way to Preserve the Paradigm of Relativity Theories

TL;DR

This paper proposes that Finsler brane models can explain superluminal neutrino speeds through gravity-induced trapping effects, potentially preserving the core principles of relativity.

Contribution

It introduces a Finsler brane framework that accounts for superluminal neutrino phenomena while maintaining the relativity paradigm.

Findings

Neutrinos may surpass light speed due to Finsler brane effects.

Superluminal phenomena depend on brane anisotropy and metric functions.

Finsler gravity trapping can reconcile superluminal neutrinos with relativity.

Abstract

Using Finsler brane solutions [see details and methods in: S. Vacaru, Class. Quant. Grav. 28 (2011) 215001], 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 super-luminal 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.