Emergent Quantum Mechanics as a Classical, Irreversible Thermodynamics

Acosta, Diego A.; Córdoba, Pedro Fernández de; Isidro, J. M.; Santander, J. L. G.

doi:10.1142/s0219887813500072

Cited by 21 publications

(35 citation statements)

References 69 publications

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“…This PhD thesis is based on the three papers [1,2,3]. The publications [1] and [3] are original research articles, while the paper [2] contains a written version of the invited talk presented by J.M.I.…”

Section: Structure Of This Phd Thesismentioning

confidence: 99%

“…The publications [1] and [3] are original research articles, while the paper [2] contains a written version of the invited talk presented by J.M.I. at the 5th International Heinz von Foerster Congress: Emergent Quantum Mechanics, Vienna, Austria, Nov. 11 -13, 2011.…”

Section: Structure Of This Phd Thesismentioning

confidence: 99%

“…Thus chapter 2 of this thesis contains an exact copy of paper [1] plus that section of [2] that did not appear in [1] (modulo some rearrangements of the material), while chapter 3 contains an exact copy of the article [3] (again up to minor rearrangements). Finally chapter 4 summarises our overall conclusions.…”

Section: Structure Of This Phd Thesismentioning

confidence: 99%

“…(3.21) 3 We assume R ij to be positive definite. This ensures thatṠ > 0 as expected of a dissipative process.…”

Section: Thermodynamic Forcesmentioning

confidence: 99%

“…In this thesis, following our papers [1,2,3], we have focused on the emergent aspects of quantum mechanics applying a thermodynamical approach. In fact the classical thermodynamics of irreversible processes and fluctuation theory turns out to share many common features with quantum mechanics-surprisingly, with Feynman's path integral approach to quantum mechanics.…”

Section: Chaptermentioning

confidence: 99%

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On the Emergent Aspects of Quantum Mechanics in Relation to the Thermodynamics of Irreversible Processes and Emergent Gravity

Iglesias¹

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Título: Aspectos emergentes de la mecánica cuántica: relación con la termodinámica de los procesos irreversibles y con la gravedad emergente. AbstractThis PhD thesis elaborates on a proposal made by the Dutch theoretical physicist G. 't Hooft (1999 Nobel prize in physics), to the effect that quantum mechanics is the emergent theory of some underlying, deterministic theory. According to this proposal, information-loss effects in the underlying deterministic theory lead to the arrangement of states of the latter into equivalence classes, that one identifies as quantum states of the emergent quantum mechanics. In brief, quantisation is dissipation, according to 't Hooft. In our thesis we present two mechanisms whereby quantum mechanics is explicitly seen to emerge, thus explicitly realising 't Hooft's proposal.The first mechanism makes use of Verlinde's approach to classical mechanics and general relativity via holographic screens. This technique, first presented in 2010 in order to understand the emergent nature of spacetime and gravity, is applied in our thesis to the case of quantum mechanics.The second mechanism presented to support 't Hooft's statement is based on a dictionary, also developed by the authors, between semiclassical quantum mechanics, on the one hand, and the classical theory of irreversible thermodynamics, on the other. This thermodynamical formalism, established by Nobel prize winners Onsager and Prigogine, can be easily mapped into that of semiclassical quantum mechanics. 5Resumen Esta tesis doctoral profundiza en una propuesta hecha por el físico teórico holandés G. 't Hooft (premio Nobel de física, 1999), en el sentido de que la mecánica cuántica es la teoría emergente de una teoría subyacente, determinista. Según esta propuesta, los efectos de pérdida de información en la teoría determinista subyacente conducen a la combinación de estados en clases de equivalencia, que se identifican como estados cuánticos de la mecánica cuántica emergente.En resumen, la cuantización es disipación, de acuerdo con 't Hooft. En nuestra tesis se presentan dos mecanismos por los que la mecánica cuántica se ve emerger explícitamente, verificándose expresamente la propuesta de 't Hooft.El primer mecanismo hace uso del enfoque de Verlinde a la mecánica clásica y la relatividad general a través de pantallas holográficas. Esta técnica, presentada por primera vez en 2010 con el fin de comprender la naturaleza emergente del espaciotiempo y de la gravedad, se aplica en nuestra tesis al caso de la mecánica cuántica.El segundo mecanismo presentado para apoyar la afirmación de 't Hooft se basa en un diccionario, también desarrollado por nosotros, entre la mecánica cuántica semiclásica, por un lado, y la teoría clásica de la termodinámica de los procesos irreversibles, por el otro. Este formalismo termodinámico, establecido por los premios Nobel Onsager y Prigogine, se puede trasladar fácilmente al caso de la mecánica cuántica semiclásica. 6Resum Aquesta tesi doctoral aprofundeix en una proposta feta pel físic teòric hol...

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