Loschmidt's paradox-II: Quantum Decoherence

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SUMMARY

Loschmidt's paradox, also known as the reversibility paradox, questions the possibility of deducing irreversible processes from time-symmetric dynamics. The discussion focuses on how time-asymmetric Quantum Decoherence arises from time-symmetric Quantum Mechanics. It posits that while the wave-function of the universe is time-reversible, our perception of time asymmetry is influenced by selective observation of superpositions. The analogy is drawn to the emergence of time-asymmetry in the second law of thermodynamics from classical equations of motion through special initial conditions and coarse graining.

PREREQUISITES
  • Understanding of Loschmidt's paradox and its implications in quantum mechanics.
  • Familiarity with Quantum Decoherence and its role in the measurement problem.
  • Knowledge of time-symmetric and time-asymmetric dynamics in physics.
  • Basic principles of the second law of thermodynamics and entropy.
NEXT STEPS
  • Research the implications of Quantum Decoherence on the measurement problem in quantum mechanics.
  • Explore the relationship between entropy and time asymmetry in thermodynamics.
  • Study the mathematical foundations of time-symmetric dynamics in physics.
  • Investigate the role of initial conditions in the emergence of time-asymmetry in physical systems.
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The discussion is beneficial for physicists, quantum mechanics researchers, and students interested in the foundations of quantum theory and thermodynamics.

Dmitry67
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So if you remember, Loschmidt's paradox is about "Loschmidt's paradox, also known as the reversibility paradox, is the objection that it should not be possible to deduce an irreversible process from time-symmetric dynamics" ( http://en.wikipedia.org/wiki/Loschmidt's_paradox )

My question is, how time-asymmetric Quantum Decoherence emerges from time-symmetric Quantum Mechanics?

P.S. I don't think weak CP violation (which leads to T-symettry violation) plays any role in it.
 
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Isn't it simply that the wave-function of the universe/multiverse as a whole is time reversible, even though we can inspect it from a basis in which each part is not reversible? In other words, there's nothing preventing the SE from back-evolving a superposition of "observed dead cat" plus "observed live cat" into "haven't yet opened the box"; apparent asymmetry arises from our (self-centred) choices to ignore/drop part of the final superposition.

(And classicaly, there is no paradox in time-symmetric laws predicting that if the universe had low entropy at its lower bound of time then it will have entropy increasing with time.)
 
Dmitry67 said:
My question is, how time-asymmetric Quantum Decoherence emerges from time-symmetric Quantum Mechanics?
Essentially, the same way how time-asymmetric second law of thermodynamics emerges from classical time-symmetric equations of motion:
Special initial conditions + coarse graining -> time-asymmetry
 

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