A tomographic description for classical and quantum cosmological perturbations

Capozziello, Salvatore; Man’ko, V. I.; Marmo, Giuseppe; Stornaiolo, Cosimo

doi:10.1088/0031-8949/80/04/045901

Cited by 14 publications

(9 citation statements)

References 33 publications

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“…204 and 205) They describe equally well quantum and classical states. For this reason, tomograms are suitable for a good description of the quantum-to-classical transition of the Universe, and eventually can be defined phenomenologically by cosmological observations, leading to a reconstruction of the early Universe [206][207][208][209][210][211][212] with obvious relations with its dark components in matter and in energy.…”

Section: Tomographic Description Of Quantum and Classical States Of The Universementioning

confidence: 99%

Einstein, Planck and Vera Rubin: Relevant Encounters Between the Cosmological and the Quantum Worlds

et al. 2021

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In Cosmology and in Fundamental Physics there is a crucial question like: where the elusive substance that we call Dark Matter is hidden in the Universe and what is it made of? that, even after 40 years from the Vera Rubin seminal discovery [1] does not have a proper answer. Actually, the more we have investigated, the more this issue has become strongly entangled with aspects that go beyond the established Quantum Physics, the Standard Model of Elementary particles and the General Relativity and related to processes like the Inflation, the accelerated expansion of the Universe and High Energy Phenomena around compact objects. Even Quantum Gravity and very exotic Dark Matter particle candidates may play a role in framing the Dark Matter mystery that seems to be accomplice of new unknown Physics. Observations and experiments have clearly indicated that the above phenomenon cannot be considered as already theoretically framed, as hoped for decades. The Special Topic to which this review belongs wants to penetrate this newly realized mystery from different angles, including that of a contamination of different fields of Physics apparently unrelated. We show with the works of this ST that this contamination is able to guide us into the required new Physics. This review wants to provide a good number of these “paths or contamination” beyond/among the three worlds above; in most of the cases, the results presented here open a direct link with the multi-scale dark matter phenomenon, enlightening some of its important aspects. Also in the remaining cases, possible interesting contacts emerges. Finally, a very complete and accurate bibliography is provided to help the reader in navigating all these issues.

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Section: Tomographic Description Of Quantum and Classical States Of The Universementioning

confidence: 99%

Einstein, Planck and Vera Rubin: Relevant Encounters Between the Cosmological and the Quantum Worlds

et al. 2021

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“…The quantities in (34) and ( 35) correspond to a conserved total energy-momentum tensor. However, we may consider the energy corresponding to this to be made up of constituents, that may or may not be separately conserved.…”

Section: A New Scalar Fieldmentioning

confidence: 99%

“…However, it may be noted that here we have only one state for the universe and even the definition of probability in this context is quite vague. In another interesting approach, it was observed that if tomographic probability representations are related to extra symmetries such as Noether symmetries, they allow oscillatory behaviour of the wave function and then give rise to classical solutions which correspond to observable universes [33,34]. This approach is worked out also for general classes of extended theories of gravity.…”

Section: Classical-quantum Correspondencementioning

confidence: 99%

Bouncing and Coasting Universe with Exact Quantum-Classical Correspondence

John¹

2021

Int J Theor Phys

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When the scale factor of expansion of the universe is written as a(t) ≡ Ae α (t) , with A as some real constant and α(t) a real function, the gravitational action I G appears in the same form as the matter action I M for a homogeneous and isotropic scalar field with a specific scale factor-dependent potential. We observe that by making analytic continuation of the Lagrangian function in this I G to the complex plane of α, one can obtain terms corresponding to both parts of a total action that describes a viable cosmological model. The solution gives a bouncing and coasting universe, which first contracts and then expands linearly, with a smooth bounce in between them. Such a bounce, called a Tolman wormhole, is due to a Casimir-like negative energy that appears naturally in the solution. In a novel approach to quantum cosmology, we perform canonical quantization of the above model using the operator method and show that it can circumvent the operator ordering ambiguity in the conventional formalism. It leads to a quantum wave equation for the universe, solving which we get the interesting result that the universe is in a ground state with nonzero energy. This solution is different from the Wheeler-DeWitt wave function and possesses exact quantum-classical correspondence during all epochs.

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“…By quantum tomography one can be able to determine the state(s) prior to the measurements. Quantum tomography has applications in quantum optics, quantum information and quantum mechanics, our aim is to extend it to quantum cosmology program [7][8][9]12 . Quantum tomography measures the probability distribution for the rotated quadrature phase x θ = (a † exp(iθ) + a exp −iθ )/2 at different values of θ.…”

Section: Quantum Tomographymentioning

confidence: 99%

The universe in a tomogram

Stornaiolo¹

2017

The Fourteenth Marcel Grossmann Meeting

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In this paper I present the most recent developments in the formulation of a tomographic approach to quantum and classical cosmology. I introduce quantum tomography, in order to show how the quantum tomographical techniques can be applied to reconstruct a quantum state, then I discuss these techniques can be applied to quantum and classical cosmology. It follows that the information about the initial state of the universe should be obtained by analyzing the local deviations from the Hubble law, but more realistically one should analyse the spectrum of cosmological perturbations and the recent maps of the cosmical background radiation.

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A tomographic description for classical and quantum cosmological perturbations

Cited by 14 publications

References 33 publications

Einstein, Planck and Vera Rubin: Relevant Encounters Between the Cosmological and the Quantum Worlds

Einstein, Planck and Vera Rubin: Relevant Encounters Between the Cosmological and the Quantum Worlds

Bouncing and Coasting Universe with Exact Quantum-Classical Correspondence

The universe in a tomogram

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