Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Wigner's new physics frontier: Physics of two-by-two matrices, including
  the Lorentz group and optical instruments   According to Eugene Wigner, quantum mechanics is a physics of Fourier
transformations, and special relativity is a physics of Lorentz
transformations. Since two-by-two matrices with unit determinant form the group
SL(2,c) which acts as the universal covering group of the Lorentz group, the
two-by-two matrices constitute the natural language for special relativity. The
central language for optical instruments is the two-by-two matrix called the
beam transfer matrix, or the so-called ABCD matrix. It is shown that the ABCD
matrices also form the SL(2,C) group. Thus, it is possible to perform
experiments in special relativity using optical instruments. Likewise, the
optical instruments can be explained in terms of the symmetry of relativistic
particles.

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The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
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The categories of this paper are: solv-int
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The categories of this paper are: supr-con
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The categories of this paper are: eess
12
The categories of this paper are: nucl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
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The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ex