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An entropic picture of emergent quantum mechanics

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An entropic picture of emergent quantum mechanics

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dc.contributor.author Acosta Iglesias, Dagoberto es_ES
dc.contributor.author Fernández de Córdoba Castellá, Pedro José es_ES
dc.contributor.author Isidro San Juan, José María es_ES
dc.contributor.author González-Santander Martínez, Juan Luis es_ES
dc.date.accessioned 2014-07-09T08:21:15Z
dc.date.issued 2012-08
dc.identifier.issn 0219-8878
dc.identifier.uri http://hdl.handle.net/10251/38688
dc.description.abstract Quantum mechanics emerges à la Verlinde from a foliation of 3 by holographic screens, when regarding the latter as entropy reservoirs that a particle can exchange entropy with. This entropy is quantized in units of Boltzmann's constant k B. The holographic screens can be treated thermodynamically as stretched membranes. On that side of a holographic screen where spacetime has already emerged, the energy representation of thermodynamics gives rise to the usual quantum mechanics. A knowledge of the different surface densities of entropy flow across all screens is equivalent to a knowledge of the quantum-mechanical wavefunction on 3. The entropy representation of thermodynamics, as applied to a screen, can be used to describe quantum mechanics in the absence of spacetime, that is, quantum mechanics beyond a holographic screen, where spacetime has not yet emerged. Our approach can be regarded as a formal derivation of Planck's constant ¿ from Boltzmann's constant k B. © 2012 World Scientific Publishing Company. es_ES
dc.description.sponsorship J.M.I. thanks Max-Planck-Institut fur Gravitationsphysik, Albert-Einstein-Institut (Golm, Germany), for hospitality extended a number of times over the years. This work has been supported by Universidad Politecnica de Valencia under grant PAID-06-09. en_EN
dc.language Inglés es_ES
dc.publisher World Scientific Publishing es_ES
dc.relation Universidad Politecnica de Valencia [PAID-06-09] es_ES
dc.relation.ispartof International Journal of Geometric Methods in Modern Physics es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Black holes es_ES
dc.subject String theory es_ES
dc.subject Gravity es_ES
dc.subject Thermodynamics es_ES
dc.subject Equivalence es_ES
dc.subject Principle es_ES
dc.subject Dynamics es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title An entropic picture of emergent quantum mechanics es_ES
dc.type Artículo es_ES
dc.embargo.lift 10000-01-01
dc.embargo.terms forever es_ES
dc.identifier.doi 10.1142/S021988781250048X
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Instituto Universitario de Matemática Pura y Aplicada - Institut Universitari de Matemàtica Pura i Aplicada es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Acosta Iglesias, D.; Fernández De Córdoba Castellá, PJ.; Isidro San Juan, JM.; González-Santander Martínez, JL. (2012). An entropic picture of emergent quantum mechanics. International Journal of Geometric Methods in Modern Physics. 9(5). doi:10.1142/S021988781250048X es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1142/S021988781250048X es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 9 es_ES
dc.description.issue 5 es_ES
dc.relation.senia 224393


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