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• W2029656514 startingPage "255202" @default.
• W2029656514 abstract "A new approach to relativistic mechanics is proposed, suitable for describing in a unified way the dynamics of different kinds of relativistic particles. Mathematically, it is an application of a geometric theory of nonholonomic systems on fibred manifolds. We propose a setting based on a naturally constructed Lagrangian and a constraint on the 4-velocity of a particle that allows a unified approach to particles with any (positive/negative/zero) square of mass. The corresponding equations of motion are obtained and discussed. In particular, new forces are found (different from the usual Lorentz force type term), arising due to the nonholonomic constraint. A possible meaning and relation with forces previously proposed by Dicke is discussed. In particular, equations of motion of massless particles and of tachyons are studied and the corresponding dynamics are investigated." @default.
• W2029656514 created "2016-06-24" @default.
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• W2029656514 date "2012-05-29" @default.
• W2029656514 modified "2023-10-16" @default.
• W2029656514 title "The relativistic mechanics in a nonholonomic setting: a unified approach to particles with non-zero mass and massless particles" @default.
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• W2029656514 doi "https://doi.org/10.1088/1751-8113/45/25/255202" @default.
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