Confronting Finsler space-time with experiment

Abstract

Within all approaches to quantum gravity small violations of the Einstein Equivalence Principle are expected. This includes violations of Lorentz invariance. While usually violations of Lorentz invariance are introduced through the coupling to additional tensor fields, here a Finslerian approach is employed where violations of Lorentz invariance are incorporated as an integral part of the space-time metrics. Within such a Finslerian framework a modified dispersion relation is derived which is confronted with current high precision experiments. As a result, Finsler type deviations from the Minkowskian metric are excluded with an accuracy of 10^{-16}.

To be published in General Relativity and Gravitation

References in corpus (4)

• General Very Special Relativity is Finsler Geometry
• Planck-scale modified dispersion relations and Finsler geometry
• Relativity tests by complementary rotating Michelson-Morley experiments
• Fermat Principle in Finsler Spacetimes

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• Critical Remarks on Finsler Modifications of Gravity and Cosmology by Zhe Chang and Xin Li
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• Finsler Branes and Quantum Gravity Phenomenology with Lorentz Symmetry Violations
• Modified Einstein and Finsler Like Theories on Tangent Lorentz Bundles
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• Quantum gravity phenomenology at the dawn of the multi-messenger era -- A review
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• Principles of Einstein-Finsler Gravity and Cosmology
• Black Holes, Ellipsoids, and Nonlinear Waves in Pseudo-Finsler Spaces and Einstein Gravity
• Black Ring and Kerr Ellipsoid - Solitonic Configurations in Modified Finsler Gravity
• Super-Luminal Effects for Finsler Branes as a Way to Preserve the Paradigm of Relativity Theories