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We investigate the effects of Quantum Gravity on the Planck era of the universe. In particular, using different versions of the Generalized Uncertainty Principle and under specific conditions we find that the main Planck quantities such as…

High Energy Physics - Theory · Physics 2010-09-28 Spyros Basilakos , Saurya Das , Elias C. Vagenas

The quite different behaviors exhibited by microscopic and macroscopic systems with respect to quantum interferences suggest that there may exist a naturally frontier between quantum and classical worlds. The value of the Planck mass…

General Relativity and Quantum Cosmology · Physics 2023-04-14 Serge Reynaud , Brahim Lamine , Marc-Thierry Jaekel

We propose that large quantum fluctuations of the conformal factor drastically modify classical general relativity at cosmological distance scales, resulting in a scale invariant phase of quantum gravity in the far infrared. We derive…

High Energy Physics - Theory · Physics 2009-10-22 I. Antoniadis , P. O. Mazur , E. Mottola

One essence in capturing the history of primordial fluctuations that arise during inflation and eventually lead to formation of large scale structures in the universe, relies on quantizing general relativity coupled to a scalar field. This…

High Energy Physics - Theory · Physics 2018-07-24 Gizem Sengor

The recent three-year WMAP data selects large-field models with certain power-law potentials and small-field models for all power-law potentials as consistent inflation models. We study the large-field and small-field inflation model with a…

Astrophysics · Physics 2008-11-26 Sang Pyo Kim

Quantum cosmological models are commonly described by means of semiclassical approximations in which a smooth evolution of the expectation values of elementary geometry operators replaces the classical and singular dynamics. The advantage…

General Relativity and Quantum Cosmology · Physics 2021-04-28 Przemysław Małkiewicz , Artur Miroszewski

It is argued that the classical local inertial frame used to define rotational states of quantum systems is only approximate, and that geometry itself must also be rotationally quantized at the Planck scale. A Lorentz invariant statistical…

General Relativity and Quantum Cosmology · Physics 2017-06-07 Craig Hogan

The ability to reproduce the observed matter power spectrum $P(k)$ to high accuracy is often considered as a triumph of inflation. In this work, we explore an alternative explanation for the power spectrum based on nonperturbative quantum…

General Relativity and Quantum Cosmology · Physics 2019-03-18 Herbert W. Hamber , Lu Heng Sunny Yu

Fluctuations in the large-scale structure of the Universe contain significant information about cosmological physics, but are modulated in survey datasets by various observational effects. Building on existing literature, we provide a…

Cosmology and Nongalactic Astrophysics · Physics 2019-08-14 Chris Blake

It is widely believed that quantum field fluctuation in an inflating background creates the primeval seed perturbation which through subsequent evolution leads to the observed large scale structure of the universe. The standard inflationary…

General Relativity and Quantum Cosmology · Physics 2010-11-05 Golam Mortuza Hossain

We propose a mechanism to explain the fluctuations of the ground state energy in quantum dots in the Coulomb blockade regime. Employing the random matrix theory we show that shape deformations may change the adjacent peak spacing…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Raul O. Vallejos , Caio H. Lewenkopf , Eduardo R. Mucciolo

The effects of fluctuating boundaries on a superposition state of a quantum particle in a box is studied. We consider a model in one space dimension in which the initial state is a coherent superposition of two energy eigenstates. The…

Quantum Physics · Physics 2012-05-11 V. A. De Lorenci , L. H. Ford

Usual quantum mechanics requires a fixed, background, spacetime geometry and its associated causal structure. A generalization of the usual theory may therefore be needed at the Planck scale for quantum theories of gravity in which…

General Relativity and Quantum Cosmology · Physics 2013-12-05 James B. Hartle

A satisfactory theory of quantum gravity will very likely require modification of our classical perception of space-time, perhaps by giving it a 'foamy' structure at scales of order the Planck length. This is expected to modify the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Subir Sarkar

Since the standard inflationary paradigm is based on quantum field theory on classical space-times, it excludes the Planck era. Using techniques from loop quantum gravity, the paradigm is extended to a self-consistent theory from the Planck…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Ivan Agullo , Abhay Ashtekar , William Nelson

After a brief review of the first phase of development of Quantum-Gravity Phenomenology, I argue that this research line is now ready to enter a more advanced phase: while at first it was legitimate to resort to heuristic order-of-magnitude…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Giovanni Amelino-Camelia

In a recent paper (arXiv:1412.6000) a general mechanism for emergence of cosmological space-time geometry from a quantum gravity setting was devised and departure from standard dispersion relations for elementary particle were predicted. We…

General Relativity and Quantum Cosmology · Physics 2015-12-16 Ricardo Gallego Torromé , Marco Letizia , Stefano Liberati

A union of matter bounce and Ekpyrotic scenarios is often studied in an attempt to combine the most promising features of these two models. Since non-perturbative quantum geometric effects in loop quantum cosmology (LQC) result in natural…

General Relativity and Quantum Cosmology · Physics 2021-03-31 Bao-Fei Li , Sahil Saini , Parampreet Singh

Over the past five years, there has been significant progress on the problem of quantization of diffeomorphism covariant field theories with {\it local} degrees of freedom. The absence of a background space-time metric in these theories…

High Energy Physics - Theory · Physics 2007-05-23 Abhay Ashtekar , Jerzy Lewandowski

The primordial spectrum of cosmological tensor perturbations is considered as a possible probe of quantum gravity effects. Together with string theory, loop quantum gravity is one of the most promising frameworks to study quantum effects in…

General Relativity and Quantum Cosmology · Physics 2009-04-09 J. Grain , A. Barrau
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