New theory of Lorentz violation from a general principle

Abstract

We report that a general principle of physical independence of mathematical background manifolds brings a replacement of common derivative operators by co-derivative ones. Then we obtain a new Lagrangian for the ordinary minimal standard model with supplementary terms containing the Lorentz invariance violation information measured by a new matrix, denoted as the Lorentz invariance violation matrix. We thus provide a new fundamental theory to study Lorentz invariance violation effects consistently and systematically.

5 pages, no figure, final version for journal publication, style file updated to fit the arxiv version

References in corpus (4)

• Prospects for constraining quantum gravity dispersion with near term observations
• Relativity tests by complementary rotating Michelson-Morley experiments
• Probing a Possible Vacuum Refractive Index with Gamma-Ray Telescopes
• Lorentz violation effects on astrophysical propagation of very high energy photons

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• Foundations of Classical Electrodynamics, Equivalence Principle and Cosmic Interactions: A Short Exposition and an Update
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• Neutrino speed anomaly as signal of Lorentz violation
• Superluminal Neutrinos from Special Relativity with de Sitter Space-time Symmetry
• Lorentz Violation of the Photon Sector in Field Theory Models
• Challenges Confronting Superluminal Neutrino Models
• New perspective on space and time from Lorentz violation
• New Chance for Researches on Lorentz Violation
• Superluminal Neutrinos in the Minimal Standard Model Extension