Physical Finsler coordinates in spacetime (Q2866256)

Within the framework of applied Finsler geometry, the paper discusses the physical meaning of the coordinates of a point in the tangent bundle of the spacetime -- viewed as the spacetime and four-velocity coordinates of the measuring device.NEWLINENEWLINENEWLINEIt is emphasized that the four-velocity of the measuring device need not be the same as the four-velocity of the measured object, from the point of view of either the classical or the quantum mechanics, and that the four-velocity of a measured particle excitation of a Finslerian quantum field in the tangent space of the spacetime does not produce suitable physical Finsler coordinate.NEWLINENEWLINENEWLINETo illustrate the role of the Finsler coordinates, a detailed example involving a Finslerian quantum field and the associated microcausality is provided.