Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Electromagnetic Lorenz Fields   Gauge transformations are potential transformations that leave only specific
Maxwell fields invariant. To reveal more, I develop Lorenz field equations with
full Maxwell form for nongauge, sans gauge function, transformations yielding
mixed, superposed retarded and outgoing, potentials. The form invariant Lorenz
condition is then a charge conservation equivalent. This allows me to define
three transformation classes that screen for Lorenz relevance. The nongauge
Lorentz conditions add polarization fields which support emergent, light-like
rays that convey energy on charge conserving phase points. These localized rays
escape discovery in modern Maxwell fields where the polarizations are
suppressed by gauge transformations.

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The categories of this paper are: math
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The categories of this paper are: adap-org
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The categories of this paper are: eess
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-th
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The categories of this paper are: math-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: ao-sci
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The categories of this paper are: chem-ph
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The categories of this paper are: cs
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The categories of this paper are: cond-mat
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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat