Hidden variable and the copenhagen interpretation.

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SUMMARY

The discussion centers on the implications of hidden variables in quantum mechanics, specifically regarding the collapse of the wavefunction and the uncertainty principle. One participant argues that averaging results from multiple identical wave-particles does not yield precise predictions, as it merely provides probabilities rather than definitive outcomes. The opposing viewpoint emphasizes that the collapse of the wavefunction is inherently unpredictable, reinforcing the uncertainty principle and negating the existence of hidden variables that could allow for precise predictions.

PREREQUISITES
  • Understanding of quantum mechanics principles, particularly wave-particle duality
  • Familiarity with the concept of wavefunction collapse
  • Knowledge of the uncertainty principle in quantum physics
  • Basic grasp of statistical analysis in experimental physics
NEXT STEPS
  • Research the implications of hidden variable theories in quantum mechanics
  • Study the mathematical formulation of the wavefunction and its collapse
  • Explore the uncertainty principle and its applications in quantum experiments
  • Investigate statistical methods used in quantum mechanics experiments
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Students of quantum mechanics, physicists exploring foundational theories, and anyone interested in the philosophical implications of quantum uncertainty and hidden variables.

imaplanck
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Hi,

I just had this argument with this person on another forum and the gist of it was that he was saying collapse is predictable to within a negligible precision if you average out the results a huge number of identical wave-particles that had already collapsed.


My contention was that his claim was hidden variable and violated the uncertainty principle. I further contended that at the very most, all this analysis of already collapsed identical wave-particles could give us is a probability akin to a probability of collapse derived from a specified magnitude of the wave-function, and that this probability is in no way a prediction, as a prediction would mean hidden-variable not uncertainty.


Anyone have an opinion?
 
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eh?

not sure what your describing exactly, but here's my 2 cents.

Collapse of the wavefunction refers to a system that is in a superposition of two (or more) states. The theory says that you can predict the probability of the wavefunction collapsing to state 1 or state 2 when you make a measurement, but you can't know for sure which its going to be.

doing many copies of an experiment doesn't allow you to sharpen up your predictions, it just allows your measured statistics to approach the theoretical result. Its like flipping a coin. do it ten times and there is a good chance that your results won't be 50% heads 50% tails. do it a million times and youll be pretty close.

If there was a hidden variable that would mean it would be possible to predict which state the above system would collapse to if we knew what it was. You would be able to do one experiment and know exactly which state it would collapse to
 

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