Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Relativistic wave--particle duality for spinors   We propose that relativistic wave--particle duality can be embodied in a
relation $\langle u^i\rangle=\bar{\psi}\gamma^i\psi/\bar{\psi}\psi$, which
determines the mean four-velocity of the fermion particle associated with a
Dirac wave function. We use the Einstein--Cartan theory of gravity with
torsion, which incorporates the spin-orbit interaction in curved spacetime.
This relation is satisfied by a spinor plane wave and it is consistent with the
energy-momentum tensor for particles. We suggest that spacetime guides the
evolution of a wave function, that in turn guides the mean motion of the
associated particle. Consequently, spacetime guides the motion of particles.
The exact motion is limited by the uncertainty principle.

18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol