Testing the Quantum of Entropy

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 $S\ge k\ln 2$. 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 $S\ge k\ln 2$. 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.

References in corpus (16)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• High-precision test of Landauer's principle in a feedback trap
• The physical interpretation of the spectrum of black hole quasinormal modes
• Quantum limit of heat flow across a single electronic channel
• Single-mode heat conduction by photons
• Is gravitational entropy quantized ?
• Black hole entropy quantization
• Curie law, entropy excess, and superconductivity in heavy fermion metals and other strongly interacting Fermi liquids
• Quantization of Black Hole Entropy from Quasinormal Modes
• Thermodynamics of the three-dimensional Hubbard model: Implications for cooling cold atomic gases in optical lattices
• Teaching the third law of thermodynamics
• Exploring quantum thermodynamics with NMR
• The Effects of Minimal Length, Maximal Momentum and Minimal Momentum in Entropic Force
• Is Physics Asking for a New Kinematics?
• Gravitational surface Hamiltonian and entropy quantization
• From maximum force to physics in 9 lines and towards relativistic quantum gravity