Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Invariant Set Theory: Violating Measurement Independence without Fine
  Tuning, Conspiracy, Constraints on Free Will or Retrocausality   Invariant Set (IS) theory is a locally causal ontic theory of physics based
on the Cosmological Invariant Set postulate that the universe $U$ can be
considered a deterministic dynamical system evolving precisely on a (suitably
constructed) fractal dynamically invariant set in $U$'s state space. IS theory
violates the Bell inequalities by violating Measurement Independence. Despite
this, IS theory is not fine tuned, is not conspiratorial, does not constrain
experimenter free will and does not invoke retrocausality. The reasons behind
these claims are discussed in this paper. These arise from properties not found
in conventional ontic models: the invariant set has zero measure in its
Euclidean embedding space, has Cantor Set structure homeomorphic to the p-adic
integers ($p \ggg 0$) and is non-computable. In particular, it is shown that
the p-adic metric encapulates the physics of the Cosmological Invariant Set
postulate, and provides the technical means to demonstrate no fine tuning or
conspiracy. Quantum theory can be viewed as the singular limit of IS theory
when when $p$ is set equal to infinity. Since it is based around a top-down
constraint from cosmology, IS theory suggests that gravitational and quantum
physics will be unified by a gravitational theory of the quantum, rather than a
quantum theory of gravity. Some implications arising from such a perspective
are discussed.

11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int