Bryan C. Sanctuary
In this blog the Java programs that do the simulation are given. The program was written by Chantal Roth and was modified for my model by Mr. Michael Havas.
- A Local Realistic Reconciliation of the EPR Paradox
- A document with most of the derivations;
- A recorded seminar
|Figure 1 A local realistic simulation of the EPR data calculated at every 22.5 degrees and the points connected. The smooth curve is -cosθab plotted as a function of θab.|
|Figure 2 The result of simulating the EPR correlation for one axis of quantization. The quantum coherences are ignored and the correlation from one axis gives half the correlation predicted from quantum mechanics.|
- It is impossible to experimentally prove the 2D model is correct because it is impossible to simultaneously measure two spin components, σx, σz , at the same time.
- Although the full quantum correlation 2√2 is obtained with my local realistic model, only half the correlation is obtained, √2 per axis, from each simulation. Therefore the CHSH equation is not violated √2 < 2 whereas Bell’s original inequalities are violated √2<1.
- The reason the CHSH equation is not violated is because in the classical derivation, Hidden Variable space is partitioned into two regions. As the classical CHSH equation, it is assumed that the two regions commute and can be simultaneously sampled. My local realistic model does not use any classical notions, and the two regions do not commute and therefore cannot be simultaneously measured.
- Another way to state this is that one spin component is measured; the coincidences from the other components are counterfactual.
- Quantum mechanics is a theory of measurement. In this treatment, quantum theory is extended to treat one particle in complete isolation. This leads to some changes in quantum theory that are not addressed in this work. The model and its simulation are the main focus at this stage.
- Agrees with both quantum theory and experiment
- Is consistent with Bell’s correlation and gives more insight into the quantum correlations
- Predicts the filter settings that maximize the EPR correlation
- Agrees with the treatment of Gustafson which identifies a vector of length √2 in the CHSH equation.