Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quaternionic Analysis and the Algebrodynamics   We present the ``algebrodynamical'' approach to field-particle theory based
on a nonlinear generalization of the Cauchy-Riemann conditions to
non-commutative algebras of quaternion-like type. For complex quaternions the
theory is Lorentz invariant and naturally carries some gauge and twistor
structures. Point- and string-like singularities are considered as
particle-like formations; their electric charge is ``self-quantized''. A novel
``causal Minkowski geometry with additional phase'' is presented that is
induced by the structure of primordial biquaternion algebra. On this
geometrical background a self-consistent algebraic dynamics of singularities
(``ensemble of dublicons'') is briefly discussed.

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The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th