Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tales from the prehistory of Quantum Gravity. L\'eon Rosenfeld's
  earliest contribution   The main purpose of this paper is to analyse the earliest work of L\'eon
Rosenfeld, one of the pioneers in the search of Quantum Gravity, the supposed
theory unifying quantum theory and general relativity. We describe how and why
Rosenfeld tried to face this problem in 1927, analysing the role of his
mentors: Oskar Klein, Louis de Broglie and Th\'eophile De Donder. Rosenfeld
asked himself how quantum mechanics should \textit{concretely} modify general
relativity. In the context of a five-dimensional theory, Rosenfeld tried to
construct a unifying framework for the gravitational and electromagnetic
interaction and wave mechanics. Using a sort of "general relativistic quantum
mechanics" Rosenfeld introduced a wave equation on a curved background. He
investigated the metric created by what he called `quantum phenomena',
represented by wave functions. Rosenfeld integrated Einstein equations in the
weak field limit, with wave functions as source of the gravitational field. The
author performed a sort of semi-classical approximation obtaining at the first
order the Reissner-Nordstr\"om metric. We analyse how Rosenfeld's work is part
of the history of Quantum Mechanics, because in his investigation Rosenfeld was
guided by Bohr's correspondence principle. Finally we briefly discuss how his
contribution is connected with the task of finding out which metric can be
generated by a quantum field, a problem that quantum field theory on curved
backgrounds will start to address 35 years later.

25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
2
The categories of this paper are: math
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an