Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Black magic session of concordance: Regge mass spectrum from Casson's
  invariant   Recently, there had been a great deal of interest in obtaining and describing
of all kinds of knots in links in hydrodynamics, electrodynamics, non Abelian
gauge field theories and gravity. Although knots and links are observables of
the Chern-Simons (C-S) functional, the dynamical conditions for their
generation lie outside of the scope of the C-S theory. The nontriviality of
dynamical generation of knotted structures is caused by the fact that the
complements of all knots/links, say, in S^3 are 3-manifolds which have
positive, negative or zero curvature. The ability to curve the ambient space
thus far is attributed to masses. The mass theorem of general relativity
requires the ambient 3-manifolds to be of non negative curvature. Recently, we
established that, in the absence of boundaries, complements of dynamically
generated knots/links are represented by 3-manifolds of non negative curvature.
This fact opens the possibility to discuss masses in terms of dynamically
generated knotted/ linked structures. The key tool is the notion of knot/link
concordance. The concept of concordance is an adaptation of the concept of
cobordism to knots and links. The logic of implementation of the concordance
concept to physical masses results in new interpretation of Casson's surgery
formula in terms of the Regge trajectories. The latest thoroughly examined
Chew-Frautschi (C-F) plots associated with these trajectories demonstrate that
the hadron mass spectrum for both mesons and baryons is nicely described by the
data on the corresponding C-F plots. The physics behind Casson's surgery
formula is similar but not identical to that described purely
phenomenologically by Keith Moffatt in 1990. The developed topological
treatment is fully consistent with available rigorous mathematical and
experimentally observed results related to physics of hadrons

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The categories of this paper are: econ
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The categories of this paper are: q-bio
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
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The categories of this paper are: physics
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The categories of this paper are: adap-org
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The categories of this paper are: cond-mat
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: stat
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The categories of this paper are: cs
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The categories of this paper are: ao-sci