Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Causal Incompleteness: A New Perspective on Quantum Non-locality   The mathematical notion of incompleteness (eg of rational numbers,
Turing-computable functions, and arithmetic proof) does not play a key role in
conventional physics. Here, a reformulation of the kinematics of quantum theory
is attempted, based on an inherently granular and discontinuous state space, in
which the quantum wavefunction is associated with a finite set of finite bit
strings, and the unitary transformations of complex Hilbert space are
reformulated as finite permutation and related operators incorporating complex
and hyper-complex structure. Such a reformulation, consistent with Wheeler's
`It from Bit' programme, provides the basis for a novel interpretation of the
Bell theorem: that the experimental violation of the Bell inequalities reveals
the inevitable incompleteness of the causal structure of physical theory. The
kinematic reformulation of quantum theory so developed, provides a new
perspective on the age-old dichotomy of free will versus determinism.

7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
2
The categories of this paper are: math
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph