finsler geometry, hypercomplex numbers and physics
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About the modern point of view on the A.Einstain, sprinciple of general relativity
2014jbx | Zhotikov V.G.  // Moscow Institute for Physics and Technology (State University), Moscow, Russian Federation, zhotikov@yandex.ru

Paradoxical situation has long been formed in the physical sciences. From the middle of the last century, in estimating the value of the general principle of relativity (GPR), the opinion of the physics community was divided into two oppositely point of view. We will not enumerate all the supporters and opponents of any of them, and for the sake of brevity, we combine them with the names of their representatives – the greatest physicists of the 20th century. Let’s call the first one – the point of view of V. Gisnzburg (see, eg, [1]), and the second – the point of view of V. Fock (see, eg, [2, 3]). The first interprets the general theory of relativity (GTR) of A. Einstein as the most important achievement of physical thought of the 20th century. The second denies the role of GPR as a fundamental physical principle. Purpose of this work – give an idea of the current state of the question. The true meaning of the principle of relativity is revealed in the introduction of new geometries to the physical science, that are more general than the geometry of Riemann spaces, serving as the mathematical foundation of general relativity. These include the geometry of Finsler spaces and its generalizations — the geometry of spaces with an areal metric (see, eg. [11,14]).


English: Russian:
_2__n21_zhotikov.pdf, 164,594 Kb, PDF