Next Article in Journal
Motion Sequence Decomposition-Based Hybrid Entropy Feature and Its Application to Fault Diagnosis of a High-Speed Automatic Mechanism
Previous Article in Journal
Using k-Mix-Neighborhood Subdigraphs to Compute Canonical Labelings of Digraphs
Article Menu
Issue 3 (March) cover image

Export Article

Open AccessArticle
Entropy 2017, 19(3), 87;

Entropy, Topological Theories and Emergent Quantum Mechanics

Instituto Universitario de Matemática Pura y Aplicada, Universidad Politécnica de Valencia, 46022 Valencia, Spain
Author to whom correspondence should be addressed.
Academic Editors: Kevin H Knuth and Giorgio Kaniadakis
Received: 29 November 2016 / Accepted: 21 February 2017 / Published: 23 February 2017
View Full-Text   |   Download PDF [235 KB, uploaded 24 February 2017]


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. View Full-Text
Keywords: emergence of quantum theory; topological field theory emergence of quantum theory; topological field theory
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

Share & Cite This Article

MDPI and ACS Style

Cabrera, D.; de Córdoba, P.F.; Isidro, J.M.; Molina, J.V. Entropy, Topological Theories and Emergent Quantum Mechanics. Entropy 2017, 19, 87.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics



[Return to top]
Entropy EISSN 1099-4300 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top