T-symmetry and conservation of energy

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SUMMARY

The discussion centers on the relationship between T-symmetry and the conservation of energy, specifically in the context of CPT-symmetry and CP-symmetry. It is established that while CP-symmetry is broken, T-symmetry is also broken, but this does not imply a violation of energy conservation. According to Noether's theorem, energy remains conserved despite the lack of T-symmetry under reversal, as T-symmetry is still symmetric homogeneous under translations.

PREREQUISITES
  • Understanding of CPT-symmetry and its implications in physics
  • Familiarity with CP-symmetry and its role in particle physics
  • Knowledge of T-symmetry and its significance in time reversal
  • Basic comprehension of Noether's theorem and its connection to conservation laws
NEXT STEPS
  • Research the implications of CPT-symmetry in quantum field theory
  • Explore the experimental evidence for CP-symmetry violation
  • Study the applications of Noether's theorem in various physical systems
  • Investigate the role of T-symmetry in the context of time-dependent phenomena
USEFUL FOR

Physicists, students of theoretical physics, and anyone interested in the foundational principles of symmetry and conservation laws in particle physics.

entropy1
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I read that since CPT-symmetry is not broken, and CP-symmetry is, T-symmetry must also be broken, is that correct?

If that is correct, does that mean that energy isn't conserved?
 
Last edited:
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Never mind.
 
T is not symmetric under reversal but still symmetric homogeneous under translations. So by Noether's theorem, energy is conserved.
 

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