Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Differentiability of correlations in Realistic Quantum Mechanics   We prove a version of Bell's Theorem in which the Locality assumption is
weakened. We start by assuming theoretical quantum mechanics and weak forms of
relativistic causality and of realism (essentially the fact that observable
values are well defined independently of whether or not they are measured).
Under these hypotheses, we show that only one of the correlation functions that
can be formulated in the framework of the usual Bell theorem is unknown. We
prove that this unknown function must be differentiable at certain angular
configuration points that include the origin. We also prove that, if this
correlation is assumed to be twice differentiable at the origin, then we arrive
at a version of Bell's theorem. On the one hand, we are showing that any
realistic theory of quantum mechanics which incorporates the kinematic aspects
of relativity must lead to this type of \emph{rough} correlation function that
is once but not twice differentiable. On the other hand, this study brings us a
single degree of differentiability away from a relativistic von Neumann no
hidden variables theorem.

1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph