Pilot wave without non-locality

In summary, the conversation discusses an analysis of an EPR photon polarization experiment with pilotwaves. H and V photons are created in both channels of a PDC source, each with their own associated pilotwaves. The system is then analyzed with a PBS, where rotating it in H/V base causes all H pilotwaves to end up in one output channel and all V pilotwaves in the other. If rotated in +45/-45 base, half of H pilotwaves and half of V pilotwaves end up in the same output channel, creating interference. The same interference pattern can be observed if the PBS is rotated by 45° symmetrically to the first site, but if rotated asymmetrically, the pattern is opposite. This interference of H and
  • #1
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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  • #2
@zonde did you find any more insight on this topic?
 

Related to Pilot wave without non-locality

1. What is the pilot wave theory without non-locality?

The pilot wave theory without non-locality is a branch of the pilot wave theory that attempts to explain quantum mechanics without the need for non-local interactions between particles. In this theory, particles are guided by a hidden wave, known as the pilot wave, which determines their movement and behavior.

2. How does the pilot wave theory without non-locality differ from traditional quantum mechanics?

The main difference between the pilot wave theory without non-locality and traditional quantum mechanics is the rejection of non-local interactions between particles. In traditional quantum mechanics, particles can have instantaneous interactions with each other, regardless of distance. In the pilot wave theory without non-locality, particles only interact with their immediate surroundings and are guided by the pilot wave.

3. What evidence supports the pilot wave theory without non-locality?

There is currently no direct evidence that supports the pilot wave theory without non-locality. However, some experiments have shown results that are consistent with this theory, such as the double-slit experiment and the delayed-choice quantum eraser experiment. These results suggest that particles have a hidden wave-like behavior, which is a key concept in the pilot wave theory without non-locality.

4. How does the pilot wave theory without non-locality explain quantum entanglement?

In the pilot wave theory without non-locality, quantum entanglement is explained by the initial conditions of the system. When particles are entangled, their initial positions and velocities are correlated, and they remain connected through the pilot wave. This eliminates the need for non-local interactions between particles and provides a more intuitive explanation for entanglement.

5. What are the implications of the pilot wave theory without non-locality?

The pilot wave theory without non-locality has significant implications for our understanding of quantum mechanics and the fundamental nature of reality. It challenges the traditional interpretation of quantum mechanics and offers a more deterministic view of the universe. It also has the potential to explain phenomena that are currently unexplained by traditional quantum mechanics, such as wave-particle duality.

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