Physical Finsler Coordinates for Classical Motion
2013jnz | Howard E. Brandt  // U.S. Army Research Laboratory, Adelphi, USA, howard.e.brandt.civ@mail.mil

It was argued in earlier work that the four-velocity of a measured quantum particle excitation of a Finslerian quantum field in the tangent space manifold of spacetime is not a suitable Finsler coordinate, whereas the four velocity of the measuring device relative to the vacuum is a suitable Finsler coordinate. Furthermore, in the present work, it is argued that the physical Finsler coordinate for describing the classical motion of a macroscopic object is the four-velocity of the classical object, which in effect acts as a measuring device measuring the characteristics of the metric field. Specifically, geodesic motion of a macroscopic object in a Finslerian spacetime is considered, where the appropriate physical Finsler coordinate is the four-velocity of the object undergoing geodesic motion. It is also claimed that for a macroscopic object, such as a macroscopic measuring device, consisting of more than Avogadro’s number of atoms, any supposed quantum state is negligibly small, so that for all practical purposes the object is best described by classical mechanics. It is argued that this and the above follow from a reasonable upper bound on physically possible proper acceleration.

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