About the description of physical reality of Bell's experiment
Alejandro Hnilo
A hidden variables model complying with the simplest form of Local Realism
was recently introduced, which reproduces Quantum Mechanics' predictions for an
even ideally perfect Bell's experiment. This is possible thanks to the use of a
non-Boolean vector hidden variable. Yet, that model is as far as Quantum
Mechanics from the goal of providing a complete description of physical reality
in the EPR-sense. Such complete description includes the capacity to calculate,
from the values taken by the hidden variables, the time values when particles
are detected. This can be achieved by replacing Born's rule (which allow
calculating only probabilities) with a deterministic condition for particle
detection. The simplest choice is a threshold condition on the hidden
variables. However, in order to test this choice, a new type of quantum (or
wave, or non-Boolean) computer is necessary. This new type of quantum computer
does not exist yet, not even in theory. In this paper, a classical (Boolean)
computer code is presented which mimics the operation of that new type of
quantum computer by using contextual instructions. These instructions take into
account a consequence of the principle of superposition (which is a typical
vector, i.e. non-Boolean, feature). Numerical results generated by the
mimicking code are analyzed. They illustrate the features the hypothetical new
type of quantum computer's output may have, and show how and why some intuitive
assumptions about Bell's experiment fail.