Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some Consequences from the Dirac-Kahler Theory: on Intrinsic Spinor
  Sub-structure of the Different Boson Wave Functions   Properties of tensors equivalent to the direct product of two different
4-spinors are investigated. It is shown that the tensors obey additional 8
nonlinear restrictions, those are presented in Lorentz covariant form. In the
context of the Dirac-K\"{a}hler theory, such a property can be interpreted as
follows: if one wishes to consider the Dirac-K\"{a}hler field as consisting of
two 4-spinor fields, one must impose additional restrictions on tensors of the
Dirac-K\"{a}hler field, which leads to a non-linear wave equation for a complex
boson field (composed on the base of two 4-spinor fields). Instead, the use of
four bi-spinor fields gives possibility to construct the Dirac-K\"{a}hler
tensor set of 16 independent components. However, the formulas relating the
Dirac-K\"{a}hler boson to four fermion fields are completely different from
those previously used in the literature. In explicit form, restrictions on four
4-spinor corresponding to separation of different simplest bosons with spin 0
or 1 and various intrinsic parities, are constructed.

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The categories of this paper are: nucl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
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The categories of this paper are: ao-sci
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The categories of this paper are: astro-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: adap-org
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The categories of this paper are: econ
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The categories of this paper are: hep-lat
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The categories of this paper are: chem-ph
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The categories of this paper are: physics
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The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom
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The categories of this paper are: q-bio