Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spatiotemporally-localized-stationary typical wave function satisfying
  Klein-Gordon equation with emergent mass   Starting from relativistic mass-less Madelung fluid, we shall develop a class
of typical wave functions by imposing it to maximize Shannon entropy given its
finite average quantum potential. We show that there is a class of solutions in
which the wave function is spatiotemporally localized with finite spacetime
support, uniformly moving hence stationary. It turns out that the quantum
amplitude satisfies Klein-Gordon equation with emergent mass term proportional
to the square root of average quantum potential. We show that there is physical
time uncertainty which decreases as the mass increases. We also rederive the
classical energy-momentum relation provided the de Broglie-Einstein relation
holds. In this case, the time uncertainty is proportional to the inverse of
classical energy.

11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs