Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalizing the Lorentz transformations   In this paper we develop a framework allowing a natural extension of the
Lorentz transformations. To begin, we show that by expanding conventional
four-dimensional spacetime to eight-dimensions that a natural generalization is
indeed obtained. We then find with these generalized coordinate transformations
acting on Maxwell's equations that the electromagnetic field transformations
are nevertheless unchanged. We find further, that if we assume the absence of
magnetic monopoles, in accordance with Maxwell's theory, our generalized
transformations are then restricted to be the conventional ones. While the
conventional Lorentz transformations are indeed recovered from our framework,
we nevertheless provide a new perspective into why the Lorentz transformations
are constrained to be the conventional ones. Also, this generalized framework
may assist in explaining several unresolved questions in electromagnetism as
well as to be able to describe quasi magnetic monopoles found in spin-ice
systems.

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The categories of this paper are: quant-ph
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The categories of this paper are: nlin
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The categories of this paper are: stat
32
The categories of this paper are: atom-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: q-alg
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The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: mtrl-th