Recent content by rlduncan

  1. R

    Unit Circle and Quantum Predictions [hidden variable model agrees with QM?]

    1) Sorry, but ignore Chris/Alice which are at distant locations from each other and replace with Chris/Bob which are at the same location. This is a serious misunderstanding of the experimental setup! In an actual experiment there are just Bob and Alice. Bob has two choices that differs from...
  2. R

    Unit Circle and Quantum Predictions [hidden variable model agrees with QM?]

    Hello DrChinese Why would you include Chris/Bob? It is irrelevant to the experiment! If Alice chooses 0, then there are 3 choices 0,120, and 240 for the distant location. Alice is at a distant location from Bob and Chris. Agree? When the angles are different we are only interested in comparing...
  3. R

    Unit Circle and Quantum Predictions [hidden variable model agrees with QM?]

    Rolling dice will work. The probability you select same angle is 1/3 and selecting a different angle is 2/3. The probability of getting (+, +) or (-, -) for all runs is P(S) = (1/3)(1) + (2/3)(1/4). I have demonstrated the unit circle can reproduce the quantum theory prediction of 1/4 from the...
  4. R

    Unit Circle and Quantum Predictions [hidden variable model agrees with QM?]

    The post is only concerned with A, B, C choosing a different angle and quantum prediction of P(s) = P(cos 2120) = 1/4
  5. R

    Unit Circle and Quantum Predictions [hidden variable model agrees with QM?]

    Strilanc My post is clear. I will respond to why only two sequences repeat and not the others. Take the triplet (+, - ,-), now switch the first two to get (-, +, -). You get a different sequence. Same with (-, +, +) you get (+, -, +). Changing Bob and Chris choices gives different sequences...
  6. R

    Unit Circle and Quantum Predictions [hidden variable model agrees with QM?]

    I disagree. It will give the same result for A, B, and C independently choosing an angle. I stated this in the post. No what order A, B, and C choose an angle only 6 sequences with two that repeat are possible. Rotation was mention only to demonstrate keep the points 120 apart and not a...
  7. R

    Unit Circle and Quantum Predictions [hidden variable model agrees with QM?]

    I would like to reopen a discussion on assertions made by David Mermin such as: “There is no conceivable way to assign such instruction sets to the particles from one run to the next that can account for the fact that in all runs taken together, without regard to how the switches are set, the...
  8. R

    Negative variance of an observable quantity

    Actually what you have shown (in a concise and eloquent manner using probabilities) is that the last two conditions are impossible. At least one of the three must be + or -, but all three simultaneously cannot have the same sign at the specified angles.
  9. R

    Understanding bell's theorem: why hidden variables imply a linear relationship?

    Bill, your #346 and #347 posts are excellent summaries of your argument. They tie in nicely with your post #270 which reveal that Bell-Type inequalities cannot apply to both scenarios.
  10. R

    Are entangled particle outcomes determined by the unit circle?

    Sure that is possible. He indeed emphasized the same-switch/same-color occurrence, the randomness of the data, and the other merely went unnoticed. Testing Bell’s inequality has taken top billing, but these simple data averages are equally important. However, I haven’t found any references to...
  11. R

    Are entangled particle outcomes determined by the unit circle?

    Fair enough. Thanks for the reply.
  12. R

    Are entangled particle outcomes determined by the unit circle?

    I understand your point. However, toss a coin a 1000 times and suppose you get 480 heads and 520 tails which gives the 0.48 probability. For practical reasons or convenience (limited space) you decide to use 50 tosses to show that coin tossing is random or 0.50. Now a data set typical of the...
  13. R

    Are entangled particle outcomes determined by the unit circle?

    The instructions are an inherent property of the trig functions and the unit circle, the principles of trigonometry dictate the possible outcomes and there are only 6 not 8 permutations. This was one key point that I was trying to make. Nearly all previous discussions including Mermin insisted...
  14. R

    Are entangled particle outcomes determined by the unit circle?

    Thanks for the comments. I certainly agree with you about n=45 trials. Number of trials was not the issue. This was fully understood before deciding to post. However, 100s of n=45 trials and Mermin selects a set that he clearly states as typical (his words not mine), but contradicts the main...
  15. R

    Are entangled particle outcomes determined by the unit circle?

    Dr. Chinese’s Challenge: 0,120,240 Data Set Data Features (Quantum Theory): P(B|A) = 1; P(B|Aʹ) = .25; P(B) = .50 Eq. (1) “A” means “same setting”, “Aʹ” means “different setting”, and “B” means “different outcome”, “Bʹ” means “same outcome”. Here is a quote from David Mermin’s paper (Is the...
Back
Top