Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Beyond the Relativistic Point Particle: A Reciprocally Invariant System
  and its Generalisation   We investigate a reciprocally invariant system proposed by Low and Govaerts
et al., whose action contains both the orthogonal and the symplectic forms and
is invariant under global $O(2,4)\cap Sp(2,4)$ transformations. We find that
the general solution to the classical equations of motion has no linear term in
the evolution parameter, $\tau$, but only the oscillatory terms, and therefore
cannot represent a particle propagating in spacetime. As a remedy, we consider
a generalisation of the action by adopting a procedure similar to that of Bars
et al., who introduced the concept of a $\tau$ derivative that is covariant
under local Sp(2) transformations between the phase space variables
$x^\mu(\tau)$ and $p^\mu (\tau)$. This system, in particular, is similar to a
rigid particle whose action contains the extrinsic curvature of the world line,
which turns out to be helical in spacetime. Another possible generalisation is
the introduction of a symplectic potential proposed by Montesinos. We show how
the latter approach is related to Kaluza-Klein theories and to the concept of
Clifford space, a manifold whose tangent space at any point is Clifford algebra
Cl(8), a promising framework for the unification of particles and forces.

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The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
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The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph