Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A framework for quantum theory of elementary physical entities   A unified framework, which is directly established on the quantum ground, is
proposed for elementary physical entities, called \emph{modes} in this paper.
The framework is mainly built upon five basic assumptions, which loosely
speaking have the following contents. (i) The state space of each mode is given
by the direct product of a momentum-state space and a spinor-state space, the
latter of which is certain representation space of the $SL(2,C)$ group (a
covering group of the Lorentz group); (ii) spinor states of modes have a
layer-type structure and modes are either fermionic or bosonic, depending on
their helicity properties; (iii) there are three fundamental processes -- free
evolution, vacuum fluctuation (emergence or vanishing of a pair of fermionic
modes that possess exactly opposite physical properties), and two fundamental
interaction processes (change of two fermionic modes into one bosonic mode and
the reverse); (iv) vacuum fluctuation happens instantly; and (v) the time
evolution operator is constructed from operators, which map state spaces of
incoming modes of fundamental processes to those of outgoing modes. The time
evolution operator turns out to be a function of quantum fields that are
constructed from creation and annihilation operators for free-mode states,
whose interaction part has a local feature. As an example, a simple model of
modes is studied and is compared with the first-generation part of the standard
model (SM). Concerning electroweak interactions, the studied model has a time
evolution operator, whose main body is formally similar to that of the SM.
Besides, it predicts $\frac 13$ and $\frac 23$ electronic changes for
quark-type modes, gives an interpretation to the color degree of freedom, and
contains certain modes that behave like dark matters.

36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
2
The categories of this paper are: math
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an