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...

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Bibliographic Details
Main Authors: D. Cabrera, P. Fernández de Córdoba, J. M. Isidro, J. Vazquez Molina
Format: Article
Language:English
Published: MDPI AG 2017-02-01
Series:Entropy
Subjects:
Online Access:http://www.mdpi.com/1099-4300/19/2/87
Description
Summary: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.
ISSN:1099-4300