Developing a local deterministic theory to account for quantum mechanical effects

TL;DR

This paper proposes a local deterministic model with delayed determinism that aligns with quantum experiments and suggests potential experimental tests to distinguish it from standard quantum mechanics.

Contribution

It introduces a novel class of local, deterministic theories based on holographic information that do not violate Bell's inequality and differ from traditional hidden variables models.

Findings

Models are consistent with existing experiments

They do not violate Bell's inequality

Potential experiments can distinguish these models from quantum mechanics

Abstract

Franson showed that Aspect's experiment to test Bell's inequality did not rule out local realistic theories with delayed determinism. A class of local, deterministic discrete mathematical models with delayed determinism is described that may be consistent with existing experiments. These are not hidden variables theories in the sense that they are not theories of particles plus hidden variables. They are theories of `hidden' distributed information stored holographic like throughout a space time region. This information cannot be uniquely associated with individual particles although it determines the results observed in particle interactions. The classical parameters of an interaction are determined as {\it focal points} of continuous nonlinear changes in the wave function and not as discrete events. In addition to not violating Bell's inequality this class of theories can in principle be distinguished from standard quantum mechanics by other experiments. These differences and the experimental constraints on a test of Bell's inequality to discriminate between the existing theory and this class of models are discussed.