Influence on world's number and Bell's theorem

In summary, Bell's theorem states that the CHSH value, which is calculated using the equation ##CHSH=AB-AB'+A'B+A'B'##, falls within the range of -2 to 2, implying that the average of the CHSH value is also less than or equal to 2. This theorem deals with finding the average of large numbers and suggests that a small number average could be used for the interior average and a large number for the exterior average. However, this approach is not consistent with the concept of superdeterminism, where the state is predetermined based on the measurement choice, even in cases where distant quasars are involved.
  • #1
jk22
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A question about Bell's theorem :

Consider the ##CHSH=AB-AB'+A'B+A'B'##

Then the theorem states : ##-2\leq CHSH\leq 2##
Implying ##|<CHSH>|\leq 2##.

We could repeat the average : ##\langle |\langle CHSH\rangle|\rangle\leq 2##

Now Bell's theorem deals with large numbers average, in order to get 2 if we suppose a different variable for each covariance : ##A(\lambda_1)B(\lambda_1)-A(\lambda_2)B(\lambda_2)+A'(\lambda_3)B(\lambda_3)+A'(\lambda_4)B'(\lambda_4)##Could we do a small number average for the interior average and a large number for exterior average. (In fact this gives the average of the absolute value) ?

For example the interior average could be about 1 value (number of photons per measurment, or maybe number of worlds ?) and the exterior a large number, giving : ##\langle |CHSH|\rangle\approx 2.25##
 
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  • #2
That's essentially what is known as superdeterminism where the state itself is set in advance to different values depending on what you measure, meaning ultimately that the atomic state and your measurement choice are correlated.

Hard to believe when distant quasars are setting each measurement choice, as is the case in recent tests.
 
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1. What is the significance of Bell's theorem in the scientific world?

Bell's theorem is a fundamental principle in quantum mechanics that states that the predictions of quantum mechanics cannot be explained by any local hidden variable theory. This means that there are certain phenomena in the quantum world that cannot be explained by classical physics, and it has significant implications for our understanding of the universe.

2. How does Bell's theorem relate to the concept of influence on the world's number?

Bell's theorem is often used to demonstrate the concept of non-locality, which is the idea that particles can be connected in ways that transcend space and time. This has implications for the idea of a fixed number of particles in the universe, as it suggests that particles can be created and destroyed in ways that are not limited by physical boundaries.

3. Can Bell's theorem be applied to real-world situations?

Yes, Bell's theorem has been experimentally tested and confirmed in various experiments, such as the Bell test experiments. It has also been applied in fields such as quantum cryptography and quantum computing, showing its practical applications in the real world.

4. How does Bell's theorem challenge our understanding of cause and effect?

Bell's theorem challenges the traditional notion of cause and effect by showing that certain events can be connected in ways that are not limited by space and time. This means that the concept of a cause leading to an effect may not always hold true in the quantum world, and it has significant implications for our understanding of causality.

5. What are some potential future developments in the study of influence on world's number and Bell's theorem?

Some potential future developments in this field include further experimental testing of Bell's theorem, as well as exploring its implications for other areas of physics such as general relativity. There is also ongoing research into the practical applications of Bell's theorem, such as in quantum communication and computing.

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