Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Entropy, geometry, and the quantum potential   We sketch and emphasize the automatic emergence of a quantum potential Q in
e.g. classical WDW type equations upon inserting a (Bohmian) complex wave
function. The interpretation of Q in terms of momentum fluctuations via Fisher
information and entropy ideas is discussed along with the essentially forced
role of the amplitude squared as a probability density. We also review the
constructions of Padmanabhan connecting entropy and the Einstein equations.

20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph