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Confronting Finsler space–time with experiment

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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.

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Author notes

  1. Hansjörg Dittus

    Present address: German Aerospace Center, Institute of Space Systems, Bremen, Germany

Authors and Affiliations

  1. ZARM, University of Bremen, Am Fallturm, 28359, Bremen, Germany

    Claus Lämmerzahl, Dennis Lorek & Hansjörg Dittus

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  1. Claus Lämmerzahl
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  2. Dennis Lorek
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  3. Hansjörg Dittus
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Correspondence to Claus Lämmerzahl.

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Lämmerzahl, C., Lorek, D. & Dittus, H. Confronting Finsler space–time with experiment. Gen Relativ Gravit 41, 1345–1353 (2009). https://doi.org/10.1007/s10714-008-0710-9

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  • DOI: https://doi.org/10.1007/s10714-008-0710-9

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