Joy et al,
"The original simulation written by Chantal Roth, which is most faithful to 3-sphere topology, may appeal to more geometrically inclined, whereas Michel Fodje's simulation, which has its own unique features, may appeal to more statistically inclined."
This is what I find the most convincing evidence, that a simulation of a continuous function is a continuous function. Regardless of whether one assumes continuous geometry, or discrete points, correlated and anti-correlated values are locally neighboring elements. That is, no matter how apparently entangled two discrete points of a measurement function may appear -- at any distance scale -- random input correlates the entire wave function to an equilibrium state at every distance scale.
In other words, both evolving discrete particle states (Fermi-Dirac) and static geometry (Bose-Einstein) are reconciled to the same unitary and dynamic spacetime.
The implications go far beyond local microscale quantum correlations of the kind described by Bell's theorem. The quantum and classical measure domains are not independent at any time-distance scale.
Ever since the '30s, researchers have tried to find a transition schema to describe where the discrete measures of quantum theory become a classically smooth function. If such an intermediate function is simply the classically random input that we call quantum decoherence (Zeh, Zurek), then all the fundamentally classical wave interactions (reinforcement, destruction, interference) are represented as nonlinear input to the linear order of particle states.
All best,
Tom
