finsler geometry, hypercomplex numbers and physics
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Chronometry of the three-dimensional time
2004jax | Pavlov D. G.

The concept of the multi-dimensional time has tried not once to take its place in natural science, but every time under the pressure of some paradox was rejected. Meanwhile a philosophical question: why the space admits quite a number of dimensions and the time dos not, still preserves. In this work a new attempt has been made to resolve the matter, by switching from the traditional quadratic metrics to the Finslerian one, which may admit an arbitrary degree of the vector component that is included into the metric function. Though the offered method enables us to build continuums of time of any natural dimensionality, in order to demonstrate the specificity of the raised topic this study will focus on a simple (after rather trivial two-dimensional case) example of three temporial dimensions.


English: Russian:
01-03-e.pdf, 353,98 Kb, PDF 01-03.pdf, 655,958 Kb, PDF

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