Pilot wave without non-locality

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SUMMARY

The discussion focuses on analyzing the EPR photon polarization experiment using pilot waves. It describes the behavior of horizontally (H) and vertically (V) polarized photons generated from a parametric down-conversion (PDC) source and their associated pilot waves when subjected to a polarizing beam splitter (PBS). The results indicate that when the PBS is rotated to the H/V basis, all H pilot waves are directed to one output channel while all V pilot waves are directed to another. Conversely, when the PBS is rotated to the +45/-45 basis, interference occurs between H and V pilot waves, revealing the necessity of coherence for entangled states. The discussion raises questions about the physical implications of positive interference among different pilot waves.

PREREQUISITES
  • Understanding of EPR photon polarization experiments
  • Familiarity with pilot wave theory
  • Knowledge of parametric down-conversion (PDC) sources
  • Basic principles of interference and coherence in quantum mechanics
NEXT STEPS
  • Research the implications of pilot wave theory in quantum mechanics
  • Study the role of polarizing beam splitters (PBS) in quantum optics
  • Explore the coherence requirements in entangled photon states
  • Investigate the double-slit experiment and its relation to interference patterns
USEFUL FOR

Quantum physicists, researchers in quantum optics, and students studying entanglement and interference phenomena in quantum mechanics will benefit from this discussion.

zonde
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I am trying to analyze EPR photon polarization experiment with pilotwaves.

We create H and V photons in both channels of PDC source. They have associated H and V pilotwaves.
Now we analyze composed system of H and V photons and their pilotwaves with PBS.
If PBS is rotatated so that it is in H/V base all H pilotwaves end up in one output channel and all V pilotwaves appear in other output channel.
If PBS is rotatated so that it is in +45/-45 base half of H pilotwaves end up in the same output channel as half of V pilotwaves. Say they are coherent and create interference in this channel. Mirror pilotwaves arriving at other site create the same interference patern if PBS is rotated by 45° symmetricaly to the first site however if it is rotated by 45° anysimmetricaly to first site interference patern is exactly opposite with respect to first site.

This interference of H and V pilotwaves seems correct as there is a strict requirement in photon entanglement experiments that two modes (H and V) are in coherence. If they are not entangled state is reduced to product state of H and V polarizations and we do not observe correlations at +45/-45 base.
What is unclear for me in this picture is the physical effect of positive interference of different pilotwaves. As I understand in double-slit experiment the effect is that photons are deflected from interference minima toward interference maxima. But here?
 
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