Unification of observational entropy with maximum entropy principles
Fuente:
arXiv
Salvato in:
| Autori principali: | , , , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866912283858305024 |
|---|---|
| author | Schindler, Joseph Strasberg, Philipp Galke, Niklas Winter, Andreas Jabbour, Michael G. |
| author_facet | Schindler, Joseph Strasberg, Philipp Galke, Niklas Winter, Andreas Jabbour, Michael G. |
| contents | We introduce a definition of coarse-grained entropy that unifies measurement-based (observational entropy) and max-entropy-based (Jaynes) approaches to coarse-graining, by identifying physical constraints with information theoretic priors. The definition is shown to include as special cases most other entropies of interest in physics. We then consider second laws, showing that the definition admits new entropy increase theorems and connections to thermodynamics. We survey mathematical properties of the definition, and show it resolves some pathologies of the traditional observational entropy in infinite dimensions. Finally, we study the dynamics of this entropy in a quantum random matrix model and a classical hard sphere gas. Together the results suggest that this generalized observational entropy can form the basis of a highly general approach to statistical mechanics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_15612 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Unification of observational entropy with maximum entropy principles Schindler, Joseph Strasberg, Philipp Galke, Niklas Winter, Andreas Jabbour, Michael G. Quantum Physics Statistical Mechanics We introduce a definition of coarse-grained entropy that unifies measurement-based (observational entropy) and max-entropy-based (Jaynes) approaches to coarse-graining, by identifying physical constraints with information theoretic priors. The definition is shown to include as special cases most other entropies of interest in physics. We then consider second laws, showing that the definition admits new entropy increase theorems and connections to thermodynamics. We survey mathematical properties of the definition, and show it resolves some pathologies of the traditional observational entropy in infinite dimensions. Finally, we study the dynamics of this entropy in a quantum random matrix model and a classical hard sphere gas. Together the results suggest that this generalized observational entropy can form the basis of a highly general approach to statistical mechanics. |
| title | Unification of observational entropy with maximum entropy principles |
| topic | Quantum Physics Statistical Mechanics |
| url | https://arxiv.org/abs/2503.15612 |