scholarly journals Inflationary cosmology via quantum corrections in M-theory

2018 ◽  
Vol 2018 (11) ◽  
Author(s):  
Kazuho Hiraga ◽  
Yoshifumi Hyakutake
Keyword(s):  
Quantum Corrections ◽  
Inflationary Cosmology ◽  
M Theory

Review of inflationary cosmology via quantum corrections in M-theory

2019 ◽  
Vol 34 (33) ◽  
pp. 1930016
Author(s):  
Kazuho Hiraga ◽  
Yoshifumi Hyakutake
Keyword(s):  
Scalar Curvature ◽  
Early Universe ◽  
Quantum Effect ◽  
Quantum Corrections ◽  
Inflationary Cosmology ◽  
Superstring Theory ◽  
Inflationary Scenario ◽  
Starobinsky Model ◽  
M Theory

In this paper, we review inflationary cosmology in M-theory with quantum corrections. In old days the inflation was proposed as a resolution to the cosmological problems, and nowadays models of the inflation are severely restricted by the observations. Among them, the predictions of the Starobinsky model, which contains scalar curvature squared term, is consistent with the observations. The higher curvature terms will come from quantum effect of the gravity, and it is natural to ask its origin in superstring theory or M-theory. We investigate inflationary solution in the M-theory with higher curvature terms. We show that higher curvature terms induce an exponentially expanding solution in the early universe, and the inflation naturally ends when the corrections are suppressed. We also discuss that the ambiguity of the higher curvature terms do not affect the inflationary scenario in the M-theory.

scholarly journals QUANTUM CORRECTIONS TO GRAVITY AND THEIR IMPLICATIONS FOR COSMOLOGY AND ASTROPHYSICS

2012 ◽  
Vol 14 ◽  
pp. 73-87 ◽  
Author(s):  
JULIO C. FABRIS ◽  
PAULO L. C. DE OLIVEIRA ◽  
DAVI C. RODRIGUES ◽  
ALAN M. VELASQUEZ-TORIBIO ◽  
ILYA L. SHAPIRO
Keyword(s):  
Cosmological Constant ◽  
Free Parameter ◽  
Quantum Correction ◽  
Functional Form ◽  
Quantum Corrections ◽  
Inflationary Cosmology ◽  
Gravitational Action ◽  
Higher Derivative ◽  
Hilbert Action

The quantum contributions to the gravitational action are relatively easy to calculate in the higher derivative sector of the theory. However, the applications to the post-inflationary cosmology and astrophysics require the corrections to the Einstein-Hilbert action and to the cosmological constant, and those we can not derive yet in a consistent and safe way. At the same time, if we assume that these quantum terms are covariant and that they have relevant magnitude, their functional form can be defined up to a single free parameter, which can be defined on the phenomenological basis. It turns out that the quantum correction may lead, in principle, to surprisingly strong and interesting effects in astrophysics and cosmology .

scholarly journals On TCS G2 manifolds and 4D emergent strings

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Fengjun Xu
Keyword(s):  
Moduli Space ◽  
Quantum Corrections ◽  
Type Ii ◽  
Quantum Level ◽  
Weakly Coupled ◽  
G2 Manifolds ◽  
Fundamental Type ◽  
M Theory ◽  
Distance Limit ◽  
Refined Version

Abstract In this note, we study the Swampland Distance Conjecture in TCS G2 manifold compactifications of M-theory. In particular, we are interested in testing a refined version — the Emergent String Conjecture, in settings with 4d N = 1 supersymmetry. We find that a weakly coupled, tensionless fundamental heterotic string does emerge at the infinite distance limit characterized by shrinking the K3-fiber in a TCS G2 manifold. Such a fundamental tensionless string leads to the parametrically leading infinite tower of asymptotically massless states, which is in line with the Emergent String Conjecture. The tensionless string, however, receives quantum corrections. We check that these quantum corrections do modify the volume of the shrinking K3-fiber via string duality and hence make the string regain a non-vanishing tension at the quantum level, leading to a decompactification. Geometrically, the quantum corrections modify the metric of the classical moduli space and are expected to obstruct the infinite distance limit. We also comment on another possible type of infinite distance limit in TCS G2 compactifications, which might lead to a weakly coupled fundamental type II string theory.

scholarly journals Re-interpretation of the Two-World Background of Special Relativity as Four-World Background II

2021 ◽  
pp. 37-57
Author(s):  
O. Akindele Adekugbe Joseph
Keyword(s):  
Special Relativity ◽  
Special Theory ◽  
Inflationary Cosmology ◽  
Theory Of Relativity ◽  
Special Theory Of Relativity ◽  
Natural Laws ◽  
Perfect Symmetry ◽  
The Many ◽  
M Theory

Coexisting four universes in separate four-dimensional spacetimes constitute four-world background for the special theory of relativity (SR) in each universe, as developed in previous papers. The fact that the four universes exhibit perfect symmetry of state and perfect symmetry of natural laws is shown in this paper. The many universes concept involved is entitled compartment universes. Compartment universes are coexisting symmetrical universes in different fourdimensional spacetimes of identical extents. Material particles and bodies are symmetrically distributed in spacetimes and the same natural laws take on identical forms in compartment universes. These features differentiate the compartment universes concept from the multiverse of inflationary cosmology and the parallel branes of M-theory. The compartment universes concept opens new vista for many-world interpretations of the natural laws, as demonstrated for the special theory of relativity already, and it is a potential platform for the uniform formulation of the natural laws. Investigation of the possible existence of larger number of compartment universes than four and many-world interpretations of gravitation and other natural laws in the compartment universes picture are recommended.

scholarly journals QUANTUM CORRECTIONS TO GRAVITY AND THEIR IMPLICATIONS FOR COSMOLOGY AND ASTROPHYSICS

2012 ◽  
Vol 27 (15) ◽  
pp. 1260006 ◽  
Author(s):  
JULIO C. FABRIS ◽  
PAULO L. C. DE OLIVEIRA ◽  
DAVI C. RODRIGUES ◽  
ALAN M. VELASQUEZ-TORIBIO ◽  
ILYA L. SHAPIRO
Keyword(s):  
Cosmological Constant ◽  
Free Parameter ◽  
Quantum Correction ◽  
Functional Form ◽  
Quantum Corrections ◽  
Inflationary Cosmology ◽  
Gravitational Action ◽  
Higher Derivative ◽  
Hilbert Action

The quantum contributions to the gravitational action are relatively easy to calculate in the higher derivative sector of the theory. However, the applications to the post-inflationary cosmology and astrophysics require the corrections to the Einstein–Hilbert action and to the cosmological constant, and those we cannot derive yet in a consistent and safe way. At the same time, if we assume that these quantum terms are covariant and that they have relevant magnitude, their functional form can be defined up to a single free parameter, which can be defined on the phenomenological basis. It turns out that the quantum correction may lead, in principle, to surprisingly strong and interesting effects in astrophysics and cosmology.

scholarly journals Cosmological Perturbations via Quantum Corrections in M-Theory

Universe ◽  
2021 ◽  
Vol 7 (11) ◽  
pp. 425
Author(s):  
Kazuho Hiraga ◽  
Yoshifumi Hyakutake
Keyword(s):  
Early Universe ◽  
Effective Action ◽  
Quantum Effect ◽  
Equations Of Motion ◽  
Quantum Corrections ◽  
Cosmological Perturbations ◽  
Dimensional Spacetime ◽  
Analytic Expressions ◽  
Tensor Perturbations ◽  
M Theory

In the early universe, it is important to take into account the quantum effect of gravity to explain the feature of inflation. In this paper, we consider the M-theory effective action which consists of 11-dimensional supergravity and (Weyl)4 terms. The equations of motion are solved perturbatively, and the solution describes the inflation-like expansion in 4-dimensional spacetime. Equations of motion for tensor perturbations around this background are derived perturbatively. We also check that the equations of motion are obtained from the effective action up to the second order of the perturbations. Finally, we solve the equations of motion for the tensor perturbations perturbatively and obtain analytic expressions for them.

On Quantum Corrections to Space Charge Waves in Silicon

PIERS Online ◽  
2007 ◽  
Vol 3 (2) ◽  
pp. 141-144
Author(s):  
Abel Garcia-Barrientos ◽  
Volodymyr V Grimalsky ◽  
E. Gutierrez-D. ◽  
Svetlana V. Koshevaya
Keyword(s):  
Space Charge ◽  
Quantum Corrections ◽  
Space Charge Waves

Holographic membrane units and paradigm M-theory

2020 ◽  
Author(s):  
Vitaly Kuyukov
Keyword(s):  
M Theory

Holographic membrane units and paradigm M-theory

Statistical mechanics

2017 ◽  
Author(s):  
Michael P. Allen ◽  
Dominic J. Tildesley
Keyword(s):  
Statistical Mechanics ◽  
Potential Model ◽  
Quantum Corrections ◽  
Inhomogeneous Systems ◽  
Hard Constraints ◽  
Complex Liquids ◽  
Fluid Membranes ◽  
Dynamical Properties ◽  
Canonical Ensembles ◽  
Grand Canonical

This chapter contains the essential statistical mechanics required to understand the inner workings of, and interpretation of results from, computer simulations. The microcanonical, canonical, isothermal–isobaric, semigrand and grand canonical ensembles are defined. Thermodynamic, structural, and dynamical properties of simple and complex liquids are related to appropriate functions of molecular positions and velocities. A number of important thermodynamic properties are defined in terms of fluctuations in these ensembles. The effect of the inclusion of hard constraints in the underlying potential model on the calculated properties is considered, and the addition of long-range and quantum corrections to classical simulations is presented. The extension of statistical mechanics to describe inhomogeneous systems such as the planar gas–liquid interface, fluid membranes, and liquid crystals, and its application in the simulation of these systems, are discussed.

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