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Section
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Mathematics
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Title
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On the description of physical fields by methods of Clifford algebra and on the oscillations of a metric of small areas of space
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Author(-s)
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Kurakin V.A.a,
Khanukaev Yu.I.a
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Affiliations
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Moscow Institute of Physics and Technologya
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Abstract
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Assigning the Cartesian coordinate system to real space (linear vector space), I. Newton considered it as a container and didn't associate it with any internal structure. Such an approach leads to the phenomenological description of experimentally observed force fields and compels to attribute a source to each force field. Incorrect (but effective in the aspect of static) interpretation of Clifford algebra in the form of analytical geometry which gained universal recognition thanks to Heaviside's efforts is not algebra in its mathematical understanding. A corollary of this fact is, for example, the absence of concept of measure (spin) in classical mechanics that is experimentally observed.
In contrast to such approach, we assign the vector space having Clifford algebra to real space. This allows us to introduce measures connected with concepts of triad and quadruple and permits a joint consideration of a large number of three-dimensional fields. With objects of reality which are designated by terms of charge and dot mass we associate the force fields explicating the results of experiments that formed the basis of quantum mechanics last century. Features of force fields are referred to as features of a metric and permit existence of statically steady formations without any additional postulates.
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Keywords
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physical fields, space metric, metric oscillation, Clifford algebra
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UDC
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512.579
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MSC
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15A66, 11R52
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DOI
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10.20537/vm150105
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Received
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13 February 2015
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Language
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Russian
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Citation
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Kurakin V.A., Khanukaev Yu.I. On the description of physical fields by methods of Clifford algebra and on the oscillations of a metric of small areas of space, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2015, vol. 25, issue 1, pp. 36-50.
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References
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