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edguy99

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[This simulation is an offshoot of https://www.physicsforums.com/threads/an-abstract-long-distance-correlation-experiment.852684]

https://www.physicsforums.com/threa...a-chsh-animation.854335/#post-5362641Implicit in the discussion of this experiment is the definition of what happens (or how to calculate the probability) when a photon hits a polarizer at a specific angle. Dehlinger and Mitchell use a "classical" model where each photon has a polarization angle λ. When a photon meets a polarizer set to an angle γ , it will always register as

It's easy to visualize the chance of a photon getting through the polarizer at any angle based on the color. In their words "Our Hidden Variable Theory is very simple, and yet it agrees pretty well with quantum mechanics. We might hope that some slight modification would bring it into perfect agreement."

An alternative to this calculation is a "statistical" model of the spin axis. From the front, the photon polarization angle will appear to wobble back and forth. Now, when a photon meets a polarizer set to an angle γ, it will not always register the same. When a photon meets a polarizer set to an angle γ, it has a better chance to register as vertical if λ is closer to γ than to γ + π/2, i.e.,

This model illustrates the statistical chance of getting through a polarizer (depending on the shading). It satisfies the condition that a vertically polarized photon, has a 100% chance of getting through a vertical polarizer, a 0% chance of getting through a horizontal polarizer (the two basis vectors) and a statistical chance of getting through at other angles. To illustrate, consider Bob and Alice setup horizontal and vertical.

This illustrated statistical model of the photon behaves exactly as the quantum mechanical model behaves.

https://www.physicsforums.com/threa...a-chsh-animation.854335/#post-5362641Implicit in the discussion of this experiment is the definition of what happens (or how to calculate the probability) when a photon hits a polarizer at a specific angle. Dehlinger and Mitchell use a "classical" model where each photon has a polarization angle λ. When a photon meets a polarizer set to an angle γ , it will always register as

**V**γ if λ is closer to γ than to γ + π/2, i.e.,- if |γ − λ| ≤ π/4 then vertical
- if |γ − λ| > 3π/4 then vertical
- horizontal otherwise.

It's easy to visualize the chance of a photon getting through the polarizer at any angle based on the color. In their words "Our Hidden Variable Theory is very simple, and yet it agrees pretty well with quantum mechanics. We might hope that some slight modification would bring it into perfect agreement."

An alternative to this calculation is a "statistical" model of the spin axis. From the front, the photon polarization angle will appear to wobble back and forth. Now, when a photon meets a polarizer set to an angle γ, it will not always register the same. When a photon meets a polarizer set to an angle γ, it has a better chance to register as vertical if λ is closer to γ than to γ + π/2, i.e.,

- Chance of vertical measurement = (cos((γ − λ)*2)+1)/2
- Chance of horizontal measurement = (cos((γ − λ + π/2)*2)+1)/2

This model illustrates the statistical chance of getting through a polarizer (depending on the shading). It satisfies the condition that a vertically polarized photon, has a 100% chance of getting through a vertical polarizer, a 0% chance of getting through a horizontal polarizer (the two basis vectors) and a statistical chance of getting through at other angles. To illustrate, consider Bob and Alice setup horizontal and vertical.

This illustrated statistical model of the photon behaves exactly as the quantum mechanical model behaves.

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