Foundations of anisotropic relativistic mechanics

被引:16
作者
Sonego, Sebastiano [1 ]
Pin, Massimo [1 ]
机构
[1] Univ Udine, I-33100 Udine, Italy
关键词
dispersion relations; geometry; relativistic mechanics; space-time configurations; special relativity; ONE-WAY VELOCITY; ENERGY COSMIC-RAYS; LORENTZ TRANSFORMATIONS; SPACE-TIME; SYNCHRONIZATION PROBLEM; CLOCK SYNCHRONIZATION; THOMAS PRECESSION; 1ST POSTULATE; LIGHT SPEED; CONVENTIONALITY;
D O I
10.1063/1.3104065
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We lay down the foundations of particle dynamics in mechanical theories that satisfy the relativity principle and whose kinematics can be formulated employing reference frames of the type usually adopted in special relativity. Such mechanics allow for the presence of anisotropy, both conventional (due to nonstandard synchronization protocols) and real (leading to detectable chronogeometrical effects, independent of the choice of synchronization). We give a general method for finding the fundamental dynamical quantities (Lagrangian, energy, and momentum) and write their explicit expression in all the kinematics compatible with the basic requirements. We also write the corresponding dispersion relations and outline a formulation of these theories in terms of a pseudo-Finslerian space-time geometry. Although the treatment is restricted to the case of one spatial dimension, an extension to three dimensions is almost straightforward.
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页数:28
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