Can Light Cones Determine the Absolute Sequence of Quantum Measurements?

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SUMMARY

Light cones are essential in understanding the sequence of quantum measurements, particularly in the context of entangled particles. Each particle possesses a future and past light cone, which defines the limits of causality according to Special Relativity. When measurements of entangled particles occur outside each other's light cones, the order of these measurements cannot be determined absolutely, as it relies on the choice of inertial frame of reference. This confirms that while measurements can be correlated, their absolute sequence remains indeterminate.

PREREQUISITES
  • Understanding of Special Relativity and its implications on causality
  • Familiarity with quantum mechanics, particularly entanglement
  • Knowledge of inertial frames of reference
  • Basic concepts of light cones in spacetime diagrams
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  • Study the implications of Special Relativity on quantum mechanics
  • Explore the concept of entanglement in greater detail
  • Research different inertial frames of reference and their effects on measurement
  • Examine spacetime diagrams and their role in visualizing light cones
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thenewmans
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Please tell me if I have this correct. A particle has both a future light cone and a past light cone. In the past is everything that can affect the particle without exceeding Special Relativity. Now let’s say you have 2 entangled particles and you measure them so that each measurement is taken outside of the other particle’s light cones. Determining which measurement was taken first requires a specific inertial frame of reference. If that’s correct then you can’t determine which measurement was taken first absolutely since you can always pick a specific inertial frame of reference which disagrees. (The events don’t require entanglement. I’m just thinking about QM.)
 
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Yes, your understanding is correct. In order to determine which measurement was taken first, you need to have a specific inertial frame of reference. However, due to the fact that different frames of reference can disagree on the order in which measurements were taken, it is impossible to determine which measurement took place first absolutely.
 

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