Entropy, Topological Theories and Emergent Quantum Mechanics
The classical thermostatics of equilibrium processes is shown to possess a quantum mechanical dual theory with a finite dimensional Hilbert space of quantum states. Specifically, the kernel of a certain Hamiltonian operator becomes the Hilbert space of quasistatic quantum mechanics. The relation of th...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2017-02-01
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| Series: | Entropy |
| Subjects: | |
| Online Access: | http://www.mdpi.com/1099-4300/19/3/87 |
| _version_ | 1818000569705431040 |
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| author | D. Cabrera P. Fernández de Córdoba J. M. Isidro J. Vazquez Molina |
| author_facet | D. Cabrera P. Fernández de Córdoba J. M. Isidro J. Vazquez Molina |
| author_sort | D. Cabrera |
| collection | DOAJ |
| description | The classical thermostatics of equilibrium processes is shown to possess a quantum mechanical dual theory with a finite dimensional Hilbert space of quantum states. Specifically, the kernel of a certain Hamiltonian operator becomes the Hilbert space of quasistatic quantum mechanics. The relation of thermostatics to topological field theory is also discussed in the context of the approach of the emergence of quantum theory, where the concept of entropy plays a key role. |
| first_indexed | 2024-04-14T03:23:08Z |
| format | Article |
| id | doaj.art-eaec907c72b94f02ba10f8d3fb3651aa |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-14T03:23:08Z |
| publishDate | 2017-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-eaec907c72b94f02ba10f8d3fb3651aa2022-12-22T02:15:15ZengMDPI AGEntropy1099-43002017-02-011938710.3390/e19030087e19030087Entropy, Topological Theories and Emergent Quantum MechanicsD. Cabrera0P. Fernández de Córdoba1J. M. Isidro2J. Vazquez Molina3Instituto Universitario de Matemática Pura y Aplicada, Universidad Politécnica de Valencia, 46022 Valencia, SpainInstituto Universitario de Matemática Pura y Aplicada, Universidad Politécnica de Valencia, 46022 Valencia, SpainInstituto Universitario de Matemática Pura y Aplicada, Universidad Politécnica de Valencia, 46022 Valencia, SpainInstituto Universitario de Matemática Pura y Aplicada, Universidad Politécnica de Valencia, 46022 Valencia, SpainThe classical thermostatics of equilibrium processes is shown to possess a quantum mechanical dual theory with a finite dimensional Hilbert space of quantum states. Specifically, the kernel of a certain Hamiltonian operator becomes the Hilbert space of quasistatic quantum mechanics. The relation of thermostatics to topological field theory is also discussed in the context of the approach of the emergence of quantum theory, where the concept of entropy plays a key role.http://www.mdpi.com/1099-4300/19/3/87emergence of quantum theorytopological field theory |
| spellingShingle | D. Cabrera P. Fernández de Córdoba J. M. Isidro J. Vazquez Molina Entropy, Topological Theories and Emergent Quantum Mechanics Entropy emergence of quantum theory topological field theory |
| title | Entropy, Topological Theories and Emergent Quantum Mechanics |
| title_full | Entropy, Topological Theories and Emergent Quantum Mechanics |
| title_fullStr | Entropy, Topological Theories and Emergent Quantum Mechanics |
| title_full_unstemmed | Entropy, Topological Theories and Emergent Quantum Mechanics |
| title_short | Entropy, Topological Theories and Emergent Quantum Mechanics |
| title_sort | entropy topological theories and emergent quantum mechanics |
| topic | emergence of quantum theory topological field theory |
| url | http://www.mdpi.com/1099-4300/19/3/87 |
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