Uncertainty Principle and the Second Law

Suwailem
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For those who read carefully the paper by Esther Hänggi and Stephanie Wehner: "A violation of the uncertainty principle implies a violation of the second law of thermodynamics":

1. Can you elaborate how extra work can be extracted if the UP is violated?

2. Does the paper implies that uncertainty is always required for the second law to hold, including at the classical level?
 
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Do you have a proper reference (or even a DOI) for that paper?
 
I cannot comment on the topic, but the reference is:

Esther Hänggi & Stephanie Wehner, "A violation of the uncertainty principle implies a violation of the second law of thermodynamics", Nature Communications 4, 1670 (2013), doi:10.1038/ncomms2665

Or simply look here (if you have Access to Nature Communications): http://www.nature.com/ncomms/journal/v4/n4/full/ncomms2665.html
 
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I think if we view entropy as uncertainty (which can be based on Shanon's measure of information), then it is obvious that uncertainty is necessary for the Second Law to hold.
 
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Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. Towards the end of the first lecture for the Qiskit Global Summer School 2025, Foundations of Quantum Mechanics, Olivia Lanes (Global Lead, Content and Education IBM) stated... Source: https://www.physicsforums.com/insights/quantum-entanglement-is-a-kinematic-fact-not-a-dynamical-effect/ by @RUTA
This is still a great mystery, Einstein called it ""spooky action at a distance" But science and mathematics are full of concepts which at first cause great bafflement but in due course are just accepted. In the case of Quantum Mechanics this gave rise to the saying "Shut up and calculate". In other words, don't try to "understand it" just accept that the mathematics works. The square root of minus one is another example - it does not exist and yet electrical engineers use it to do...

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