Remarks on Osmosis, Quantum Mechanics, and Gravity

Carroll, Robert

doi:10.1088/1742-6596/361/1/012010

Cited by 7 publications

(12 citation statements)

References 98 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Observe also a difference in notation: φ instead of ψ. This is to stress the fact that, by (10), entropy eigenstates φ cannot be eigenstates of the complete HamiltonianĤ, but only of the potential energyÛ . Once we have solved the eigenvalue equation…”

Section: The Unruh Equation Of Statementioning

confidence: 99%

See 1 more Smart Citation

A holographic map of action onto entropy

Acosta

Córdoba

Isidro

et al. 2012

J. Phys.: Conf. Ser.

View full text Add to dashboard Cite

We propose a holographic correspondence between the action integral I describing the mechanics of a finite number of degrees of freedom in the bulk, and the entropy S of the boundary (a holographic screen) enclosing that same volume. The action integral must be measured in units of (i times) Planck's constant, while the entropy must be measured in units of Boltzmann's constant. In this way we are led to an intriguing relation between the second law of thermodynamics and the uncertainty principle of quantum mechanics.

show abstract

Section: The Unruh Equation Of Statementioning

confidence: 99%

“…There are compelling reasons to believe that quantum mechanics must be an emergent phenomenon [2,10,11,14,15,18,19,20,21,23,24]. Actually not just quantum mechanics, but also gravity and spacetime appear to be emergent phenomenona as well (for a comprehensive review see [31] and refs.…”

Section: Introductionmentioning

confidence: 99%

A holographic map of action onto entropy

Acosta

Córdoba

Isidro

et al. 2012

J. Phys.: Conf. Ser.

View full text Add to dashboard Cite

show abstract

“…Quantum mechanics has also been conjectured to be the emergent theory of some underlying deterministic model, in part because of its long-standing conflict with general relativity. There exists a large body of literature on emergent quantum mechanics, some basic references being [2,21,33]; see also [3,11,12,14,19,22,29,30,34,43,44,45] for more recent work. The hypothesis of emergence and the holographic principle [20,46] have been hailed as landmarks in the endeavour to arrive at a consistent a theory of quantum gravity.…”

Section: Introductionmentioning

confidence: 99%

Emergent Quantum Mechanics as a Classical, Irreversible Thermodynamics

Acosta

Córdoba

Isidro

et al. 2013

Int. J. Geom. Methods Mod. Phys.

View full text Add to dashboard Cite

We present an explicit correspondence between quantum mechanics and the classical theory of irreversible thermodynamics as developed by Onsager, Prigogine et al . Our correspondence maps irreversible Gaussian Markov processes into the semiclassical approximation of quantum mechanics. Quantum-mechanical propagators are mapped into thermodynamical probability distributions. The Feynman path integral also arises naturally in this setup. The fact that quantum mechanics can be translated into thermodynamical language provides additional support for the conjecture that quantum mechanics is not a fundamental theory but rather an emergent phenomenon, i.e. an effective description of some underlying degrees of freedom.

show abstract

“…There exists a large body of literature on emergent quantum mechanics, some basic references being [4,57,80]; see also [5,24,28,34,51,58,74,82,104,98,105] for more recent work. The hypothesis of emergence and the holographic principle [55,106] have been hailed as landmarks in the endeavour to arrive at a consistent theory of quantum gravity.…”

Section: Emergent Quantum Mechanicsmentioning

confidence: 99%

“…It has been conjectured that quantum mechanics must be an emergent theory [81,4,105,56,57,33,34,35,36,67]; see also [73,38,19,20,22,23,24,69] for its close link with gravity theories, and [47,48,52,49] for an interpretation in thermodynamical terms. The guiding principle at work in many of these approaches is the notion that quantum mechanics provides some coarse-grained description of an underlying deterministic theory.…”

Section: Introductionmentioning

confidence: 99%

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

Iglesias¹

View full text Add to dashboard Cite

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...

show abstract

Remarks on Osmosis, Quantum Mechanics, and Gravity

Abstract: Some relations of the quantum potential to Weyl geometry are indicated with applications to the Friedmann equations for a toy quantum cosmology. Osmotic velocity and pressure are briefly discussed in terms of quantum mechanics and superfluids with connections to gravity.

Cited by 7 publications

References 98 publications

A holographic map of action onto entropy

A holographic map of action onto entropy

Emergent Quantum Mechanics as a Classical, Irreversible Thermodynamics

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

Contact Info

Product

Resources

About