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Entropy 2017, 19(3), 87; doi:10.3390/e19030087

Entropy, Topological Theories and Emergent Quantum Mechanics

Instituto Universitario de Matemática Pura y Aplicada, Universidad Politécnica de Valencia, 46022 Valencia, Spain
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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]

Abstract

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).

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

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