Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Curvature Spinors in Locally Inertial Frame and the Relations with
  Sedenion   In the 2-spinor formalism, the gravity can be dealt with curvature spinors
with four spinor indices. Here we show a new effective method to express the
components of curvature spinors in the rank-2 $4 \times 4$ tensor
representation for the gravity in a locally inertial frame. In the process we
have developed a few manipulating techniques, through which the roles of each
component of Riemann curvature tensor are revealed. We define a new algebra
`sedon', whose structure is almost the same as sedenion except the basis
multiplication rule. Finally we also show that curvature spinors can be
represented in the sedon form and observe the chiral structure in curvature
spinors. A few applications of the sedon representation, which includes the
quaternion form of differential Binanchi indentity, are also presented.

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The categories of this paper are: solv-int
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The categories of this paper are: quant-ph
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The categories of this paper are: supr-con
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The categories of this paper are: cmp-lg
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The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
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The categories of this paper are: stat
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The categories of this paper are: astro-ph
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The categories of this paper are: eess
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The categories of this paper are: ao-sci
3
The categories of this paper are: physics
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The categories of this paper are: bayes-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol