A Curvature Principle for the interaction between universes

Bertolami, Orfeu

doi:10.1007/s10714-008-0608-6

Cited by 24 publications

(33 citation statements)

References 34 publications

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“…32 and 33, we can write the Bogoliubov transformation between the creation and annihilation operators of Minkowski Universes and FRW Universes (dark 1,color Ϫ tanh r dark 2,anticolor )|FRW͘ Universe1Universe2 ϭ 0 (10) in which tanh r ϭ e Ϫ2 (11) where is the energy of the dark Universe. Now, we assume that the FRW vacuum |FRW͘ Universe1RUniverse2 is related to the vacuum state that corresponds to the Hilbert space of a number of Minkowksi Universes |0͘ flat by |FRW͘ Universe1Universe2 ϭ F|0͘ flat (12) where F is a function to be determined later. (10) and (12), we get the following differential equations for F.…”

Section: The Cross Section For Producing Entangled Dark Energy Univermentioning

confidence: 99%

“…Ϫ tanh r dark 2,anticolor † F ϭ 0 (13) and the solution is given by F ϭ exp (tanh r dark 1,color † dark 2,anticolor † ) (14) By substituting (14) into (12) and by properly normalizing the state vector, we get …”

Section: ѩF ѩDark 1color †mentioning

confidence: 99%

“…Also, inflationary cosmology predicts the existence of an infinite number of other Universes [10][11][12]. A generic prediction of inflation is that the thermalized region we inhabit is spatially infinite, thus, it contains an infinite number of regions of the same size as, bigger than, or smaller than our observable universe [13].…”

Section: Introductionmentioning

confidence: 99%

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The quantum entanglement between colorful dark energy universes in a colorful multiverse

2013

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Recently, a model for colorful black hole production and decay in proton-proton collisions has been constructed. These results can be extended to a multiverse, because it is obvious that there is enough energy in cosmic rays to produce a baby Universe. It is observed that these Universes are defined by their gauge charges. Notably, Universes can have a color charge. This is not in contradiction with confinement because the typical length scale of QCD (i.e., a Fermi) is much larger than the size of a baby Universe at its birth. These colorful Universes can interact with each other, annihilate, and form a color singlet Universe. Next, it is argued that color confinement may generate an entanglement between colorful dark energy Universes to form a color singlet binary system. Finally, the production cross section for entangled colorful dark energy Universes in a multiverse is obtained. It is found that the cross section of a Friedmann-Robertson-Walker Universe is much larger for smaller values of the Hubble parameter. Also, this cross section is greater for entangled open Universes and smaller for entangled closed Universes.PACS No.: 04.70Dy.Résumé : Récemment on a construit un modèle de production et de désintégration de trou noir à charge de couleur dans des collisions proton-proton. Ces résultats peuvent être étendus aux multivers, parce qu'il est évident qu'il y a assez d'énergie dans les rayons cosmiques pour créer un univers bébé. Nous observons que ces univers sont définis par leur charge de jauge. De façon plus précise, ces univers peuvent porter des charges de couleur. Ceci n'est pas en contradiction avec le confinement, parce que la longueur d'échelle typique de la CDQ (QCD), un fermi, est beaucoup plus grande que la grandeur d'un univers bébé à sa naissance. Ces univers colorés peuvent interagir les uns avec les autres, s'annihiler et former un univers qui est un singulet de couleur (blanc). De plus, on peut avancer que le confinement de la couleur peut générer une intrication entre des univers d'énergie sombre colorés pour former des systèmes binaires singulets de couleur. Nous obtenons enfin la section efficace de formation pour des univers d'énergie sombre intriqués dans un multivers. Nous trouvons que la section efficace d'univers Friedmann-Robertson-Walker est beaucoup plus grande pour de petites valeurs du paramètre de Hubble. De plus, cette section efficace est plus importante pour des univers intriqués qui sont ouverts plutôt que pour ceux fermés. [Traduit par la Rédaction]

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Section: The Cross Section For Producing Entangled Dark Energy Univermentioning

confidence: 99%

Section: ѩF ѩDark 1color †mentioning

confidence: 99%

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The quantum entanglement between colorful dark energy universes in a colorful multiverse

2013

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“…Is the string landscape scenario compatible with predictability [6]? Do the universes of the multiverse interact [7] (see also Ref. [8])?…”

Section: Introductionmentioning

confidence: 99%

“…In this paper we shall study the process of vacuum decay in the context of an interacting multiverse [7,9]. The consideration of an interacting multiverse entails a new and richer structure for the whole set of universes.…”

Section: Introductionmentioning

confidence: 99%

Vacuum decay in an interacting multiverse

Robles-Pérez

Alonso-Serrano

Bastos³

et al. 2016

Physics Letters B

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We examine a new multiverse scenario in which the component universes interact. We focus our attention to the process of "true" vacuum nucleation in the false vacuum within one single element of the multiverse. It is shown that the interactions lead to a collective behaviour that might lead, under specific conditions, to a pre-inflationary phase and ensued distinguishable imprints in the comic microwave background radiation.Comment: 9 pages, 5 figure

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The Mystical Formula and The Mystery of Khronos

Bertolami

2009

Minkowski Spacetime: A Hundred Years Later

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In 1908, Minkowski put forward the idea that invariance under what we call today the Lorentz group, GL(1, 3, R), would be more meaningful in a fourdimensional space-time continuum. This suggestion implies that space and time are intertwined entities so that, kinematic and dynamical quantities can be expressed as vectors, or more generally by tensors, in the four-dimensional space-time. Minkowski also showed how causality should be structured in the four-dimensional vector space. The mathematical formulation proposed by Minkowski made its generalization to curved spaces quite natural, leaving the doors to the General Theory of Relativity and many other developments ajar.Nevertheless, it is remarkable that this deceptively simple formulation eluded many researchers of space and time, and goes against our every day experience and perception, according to which space and time are distinct entities. In this contribution, we discuss these contradictory views, analyze how they are seen in contemporary physics and comment on the challenges that space-time explorers face.

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A Curvature Principle for the interaction between universes

Cited by 24 publications

References 34 publications

The quantum entanglement between colorful dark energy universes in a colorful multiverse

The quantum entanglement between colorful dark energy universes in a colorful multiverse

Vacuum decay in an interacting multiverse

The Mystical Formula and The Mystery of Khronos

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