finsler geometry, hypercomplex numbers and physics
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VERY SPECIAL RELATIVITY AND FINSLER GEOMETRY
2016jcw | Olga Chashchina (1), Natalya Dudisheva (2), Zurab Silagadze (3)  // (1) Ecole Polytechnique, Palaiseau, France; (2) Novosibirsk State University, Novosibirsk, Russia; (3) Budker Institute of Nuclear Physics, Novosibirsk, Russia, chashchina.olga@gmail.com, dudyshevan@mail.ru, z.k.silagadze@inp.nsk.su

Connections between Cohen and Glashow’s very special relativity and a Finsler generalization of the special relativity is investigated. It is argued that if we stick to Einstein’s two postulates then the very special relativity in its pure form is unnatural and only in the context of the Lalan-Alway-Bogoslovsky generalization of special relativity, based on a Finslerian metric, it makes a perfect sense.



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