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Space time geometry in the atomic hydrogenoid system. Approach to a dust relativistic model from causal quantum mechanics

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Space time geometry in the atomic hydrogenoid system. Approach to a dust relativistic model from causal quantum mechanics

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dc.contributor.author Gómez-Blanch, Guillem es_ES
dc.contributor.author Kotsireas, I. es_ES
dc.contributor.author Gkigkitzis, I. es_ES
dc.contributor.author Haranas, I. es_ES
dc.contributor.author Fullana Alfonso, Màrius Josep es_ES
dc.date.accessioned 2019-07-14T20:02:13Z
dc.date.available 2019-07-14T20:02:13Z
dc.date.issued 2018 es_ES
dc.identifier.issn 0035-001X es_ES
dc.identifier.uri http://hdl.handle.net/10251/123543
dc.description.abstract [EN] We intend to use the description of the electron orbital trajectory in the de Broglie-Bohm (dBB) theory to assimilate to a geodesic corresponding to the General Relativity (GR) and get from it physical conclusions. The dBB approach indicates us the existence of a non-local quantum field (corresponding with the quantum potential), an electromagnetic field and a comparatively very weak gravitatory field, together with a translation kinetic energy of electron. If we admit that those fields and kinetic energy can deform the space time, according to Einstein¿s field equations (and to avoid the violation of the equivalence principle as well), we can made the hypothesis that the geodesics of this space-time deformation coincide with the orbits belonging to the dBB approach (hypothesis that is coherent with the stability of matter). From it, we deduce a general equation that relates the components of the metric tensor. Then we find an appropriate metric for it, by modification of an exact solution of Einstein¿s field equations, which corresponds to dust in cylindrical symmetry. The found model proofs to be in agreement with the basic physical features of the hydrogen quantum system, particularly with the independence of the electron kinetic momentum in relation with the orbit radius. Moreover, the model can be done Minkowski-like for a macroscopic short distance with a convenient election of a constant. According to this approach, the guiding function of the wave on the particle could be identified with the deformations of the space-time and the stability of matter would be easily justified by the null acceleration corresponding to a geodesic orbit. es_ES
dc.description.sponsorship One of us, MJFA, is partially supported in his work by the Spanish Ministry of Economía y Competitividad, MICINN-FEDER project FIS2015-64552-P. es_ES
dc.language Inglés es_ES
dc.publisher Sociedad Mexicana de Física es_ES
dc.relation.ispartof Revista Mexicana de Física es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject De Broglie Bohm es_ES
dc.subject Curvature of space time es_ES
dc.subject Metric tensor es_ES
dc.subject General relativity es_ES
dc.subject Hydrogen-like atoms es_ES
dc.subject Electron trajectory es_ES
dc.subject Quantum potential es_ES
dc.subject Wave function es_ES
dc.subject Numerical methods, Geodesics es_ES
dc.subject Lorenz geometry es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Space time geometry in the atomic hydrogenoid system. Approach to a dust relativistic model from causal quantum mechanics es_ES
dc.type Artículo es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MINECO//FIS2015-64552-P/ES/RELATIVIDAD, COSMOLOGIA Y POSICIONAMIENTO/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Gómez-Blanch, G.; Kotsireas, I.; Gkigkitzis, I.; Haranas, I.; Fullana Alfonso, MJ. (2018). Space time geometry in the atomic hydrogenoid system. Approach to a dust relativistic model from causal quantum mechanics. Revista Mexicana de Física. 64(1):18-29. http://hdl.handle.net/10251/123543 es_ES
dc.description.accrualMethod S es_ES
dc.description.upvformatpinicio 18 es_ES
dc.description.upvformatpfin 29 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 64 es_ES
dc.description.issue 1 es_ES
dc.relation.pasarela S\368854 es_ES
dc.contributor.funder Ministerio de Economía y Competitividad es_ES


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