Testing the Quantum of Entropy
- URL: http://arxiv.org/abs/2307.09914v1
- Date: Wed, 19 Jul 2023 11:34:54 GMT
- Title: Testing the Quantum of Entropy
- Authors: Uwe Hohm and Christoph Schiller
- Abstract summary: It is clarified when it is possible to speak about a quantum of entropy, given by the Boltzmann constant k, and about a lower entropy limit $S geq k ln 2$.
- Score: 0.0
- License: http://creativecommons.org/licenses/by-nc-sa/4.0/
- Abstract: Experimental and theoretical results about entropy limits for macroscopic and
single-particle systems are reviewed. It is clarified when it is possible to
speak about a quantum of entropy, given by the Boltzmann constant k, and about
a lower entropy limit $S \geq k \ln 2$. Conceptual tensions with the third law
of thermodynamics and the additivity of entropy are resolved. Black hole
entropy is also surveyed. Further claims for vanishing entropy values are shown
to contradict the requirement of observability, which, as possibly argued for
the first time, also implies $S \geq k \ln 2$. The uncertainty relations
involving the Boltzmann constant and the possibility of deriving thermodynamics
from the existence of a quantum of entropy enable one to speak about a
principle of the entropy limit that is valid across nature.
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