finsler geometry, hypercomplex numbers and physics
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PHYSICAL FINSLER COORDINATES IN SPACETIME
2011jrw | Brandt Howard E.  // U.S. Army Research Laboratory, Adelphi, USA, howard.e.brandt.civ@mail.mil

In Finsler geometry a Finsler coordinate is a coordinate in the tangent space manifold of a given base manifold. As such it has been given various definitions in the relativity and field theory literature and often even remains undefined physically. Physically meaningful coordinates of a point in the tangent bundle of spacetime are the spacetime and fourvelocity coordinates of the measuring device. It is here emphasized that the four-velocity of the measuring device need not be the same as the four-velocity of the measured object, either classically or quantum mechanically. The four-velocity of a measured particle excitation of a Finslerian quantum field in the tangent space manifold of spacetime is not a suitable physical Finsler coordinate. The role of the Finsler coordinate is elaborated in a detailed example involving a Finslerian quantum field and associated microcausality.


English: Russian:
04_brandt(pp.78-87).pdf, 131,879 Kb, PDF

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