EPR paradox and prediction time

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SUMMARY

The discussion centers on the EPR paradox and the implications of measuring entangled particles A and B, particularly regarding their position and momentum. It establishes that measuring the position of particle A does not allow for a definitive prediction of particle B's position due to the wave-function's evolution into a Gaussian spread. The conversation highlights the conflict between quantum mechanics (QM) and relativity, emphasizing that simultaneous measurements depend on the reference frame, which complicates predictions. Additionally, it addresses the uncertainty principle and the challenges posed by different interpretations of QM, particularly epistemic versus ontic views.

PREREQUISITES
  • Understanding of quantum mechanics principles, particularly entanglement.
  • Familiarity with the EPR paradox and its implications in quantum theory.
  • Knowledge of the uncertainty principle and its relevance to particle measurements.
  • Basic grasp of relativity and reference frames in physics.
NEXT STEPS
  • Research the implications of the EPR paradox on quantum entanglement and measurement theory.
  • Study the differences between epistemic and ontic interpretations of quantum mechanics.
  • Explore the role of the uncertainty principle in quantum measurements and its effects on predictions.
  • Investigate the experimental tests of non-local quantum correlations and their significance.
USEFUL FOR

Physicists, quantum mechanics researchers, and students interested in the foundational questions of quantum theory and its intersection with relativity.

  • #31
We are talking about different things. If my answer is not helpful, forget it.
 
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  • #32
I think it points to a discrepancy between the description in words and in formulas in the epr paradox.

Epr considers two particles interacting, hence at the same place in the text. Then it describes this state with the wavefunction delta(x1+x2). In the latter the 2 particles are not at the same place so imo there lack a time evolution to describe the system between the pair creation and the measurement.
 

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