Inter-Universal Entanglement

Robles-Pérez, Salvador

doi:10.5772/52012

Cited by 4 publications

(12 citation statements)

References 83 publications

(145 reference statements)

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“…that exactly coincides with the results found in previous works [25,63]. During the oscillatory regime, after the slow-roll approximation has failed, the scalar field and the scale factor follow a classical trajectory in the (a, ϕ)-space.…”

Section: Thermodynamics Of Entanglement In the Multiversesupporting

confidence: 80%

“…(56). First, we can check that the limiting value of a vanishing scalar field with n = −1/2 yields the same result to that obtained with no scalar field [25,63], as expected. For a large value of the scale factor, making use of equations (62) and (65), we obtain for the energy of entanglement:…”

Section: A Thermodynamic Magnitudes Of Entanglementsupporting

confidence: 50%

“…In this way, we enriched the model and considered a more realistic scenario. We obtained the thermodynamic magnitudes of entanglement for each single universe of an entangled pair of universes that generalize previous works on the subject [25,63] recovering their results in the appropriate limits. The entropy of entanglement still supplies us with an arrow of time for each single universe.…”

Section: Discussionmentioning

confidence: 61%

“…Nevertheless, it crucially depends on the value of the cosmological constant Λ 0 as well as on the potential of the field ϕ. Particularly, in our case with V (ϕ) = m 2 ϕ 2 , it depends on the value of ϕ and on the mass m. In order to compare our results with the case in which no scalar field is considered [25,63], it is interesting to compute the next two terms in the corrections of the expansion of sinh r. It is a straightforward although a lengthy computation. If we consider the next order in the scale factor, a, in the expression for Ω (Eq.…”

Section: Thermodynamics Of Entanglement In the Multiversementioning

confidence: 88%

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Effects of a scalar field on the thermodynamics of interuniversal entanglement

Garay

Robles-Pérez

2014

Int. J. Mod. Phys. D

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We consider a multiverse scenario made up of classically disconnected regions of the space-time that are, nevertheless, in a quantum entangled state. The addition of a scalar field enriches the model and allows us to treat both the inflationary and the 'oscillatory stage' of the universe on the same basis. Imposing suitable boundary conditions on the state of the multiverse, two different representations are constructed related by a Bogoliubov transformation. We compute the thermodynamic magnitudes of the entanglement, such as entropy and energy, explore the effects introduced by the presence of the scalar field and compare with previous results in the absence of scalar field.

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Section: Thermodynamics Of Entanglement In the Multiversesupporting

confidence: 80%

Section: A Thermodynamic Magnitudes Of Entanglementsupporting

confidence: 50%

Section: Discussionmentioning

confidence: 61%

Section: Thermodynamics Of Entanglement In the Multiversementioning

confidence: 88%

See 2 more Smart Citations

Effects of a scalar field on the thermodynamics of interuniversal entanglement

Garay

Robles-Pérez

2014

Int. J. Mod. Phys. D

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“…(1,2) andb (1,2) being the ladder operators for the corresponding Fock spaces of each single universe, labelled by 1 and 2, respectively. The reduced density matrix that represents the quantum state of each single universe is obtained by tracing out from ρ the degrees of freedom of the partner universe.…”

Section: Thermodynamics Of Inter-universal Entanglementmentioning

confidence: 99%

Inter-Universal Quantum Entanglement

Robles-Pérez¹,

González-Dı́az²

2015

The Thirteenth Marcel Grossmann Meeting

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The boundary conditions to be imposed on the quantum state of the whole multiverse could be such that the universes would be created in entangled pairs. Then, interuniversal entanglement would provide us with a vacuum energy for each single universe that might be fitted with observational data, making testable not only the multiverse proposal but also the boundary conditions of the multiverse. Furthermore, the second law of the entanglement thermodynamics would enhance the expansion of the single universes.

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Entanglement in a multiverse with no common space-time

Robles-Pérez¹

2013

AIP Conference Proceedings

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Inter-universal entanglement may even exist in a multiverse in which there is no common space-time among the universes. In particular, the entanglement between the expanding and contracting branches of the universe might have observable consequences in the dynamical and thermodynamical properties of one single branch, making therefore testable the whole multiverse proposal, at least in principle.Comment: 4 pages. Prepared for the proceedings of the Multiverse and Fundamental Cosmology Meeting (Multicosmofun'12

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Inter-Universal Entanglement

Cited by 4 publications

References 83 publications

Effects of a scalar field on the thermodynamics of interuniversal entanglement

Effects of a scalar field on the thermodynamics of interuniversal entanglement

Inter-Universal Quantum Entanglement

Entanglement in a multiverse with no common space-time

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