A Geometrical Manifold of Entropy for Fisher Information and Quantum Potential
| Autor: | Resconi, Germano, Licata, Ignazio, Fiscaletti, Davide |
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| Rok vydání: | 2011 |
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| Druh dokumentu: | Working Paper |
| Popis: | It is here proposed a geometric approach for the problem of describing entropy in a quantum system. We make use of an extension of tensor calculus called morphogenetic calculus. By using such formalism we express the entropy of a quantum system as the superposition of Boltzmann entropies. In this way we also provide a reading of the relational interpretation of quantum mechanics. Moreover we show that the Bohm quantum potential emerges as a consequence of the classical equilibrium under the constraint of a minimum condition of Fisher information. In this way, Bohm quantum potential appears as a non-Euclidean deformation of the probabilistic space. Finally we investigate the possible quantum-relativistic extensions of the theory and the connections with the problem of quantum gravity. Comment: 16 pages |
| Databáze: | arXiv |
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