Accuracy of Relativity vs Quantum Mechanics Measurement

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SUMMARY

The discussion centers on the accuracy of measurements in relativity versus quantum mechanics, concluding that modern quantum mechanics (QM) is fundamentally built on the principles of relativity, making a direct comparison challenging. Key measurements highlighted include time dilation in atomic clocks and the anomalous magnetic moment of an electron, both of which require relativistic quantum theory for their understanding. Relativistic quantum theory consistently delivers predictions that align with experimental results more accurately than any other theoretical framework.

PREREQUISITES
  • Understanding of relativistic quantum theory
  • Familiarity with atomic clock operations
  • Knowledge of the anomalous magnetic moment of an electron
  • Basic principles of quantum mechanics
NEXT STEPS
  • Explore the principles of relativistic quantum mechanics
  • Research the methodology behind measuring time dilation in atomic clocks
  • Investigate the calculations involved in determining the anomalous magnetic moment of an electron
  • Study the implications of precision measurements in modern physics
USEFUL FOR

Physicists, students of theoretical physics, and anyone interested in the precision of measurements in relativity and quantum mechanics.

windy miller
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Just for a bit of fun, which theory , relativity or quantum mechanics has the most accurate ( i.e to how many decimal places confirmation between theory and experiment) measurement ever made?
 
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windy miller said:
relativity or quantum mechanics
Modern QM is built on relativity, so there is no either-or comparison possible.
 
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Dale said:
Modern QM is built on relativity, so there is no either-or comparison possible.

But here are certain measurement that are considered to be precision test of either theory, time dilation in atomic clocks or the anomalous magnetic moment of an electron. This question really is just for a bit of fun.
 
The magnetic moment of an electron cannot be understood without relativistic quantum theory.

The operation of an atomic clock cannot be understood without relativistic quantum theory.

Relativistic quantum theory makes predictions that match experimental results to a greater extent than any other theory ever created.
 

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