Large extra dimensions from higher-dimensional inflation

Abstract

We propose the possibility that compact extra dimensions can obtain large size by higher dimensional inflation, relating the weakness of the actual gravitational force to the size of the observable universe. Solution to the horizon problem implies that the fundamental scale of gravity is smaller than $10^{13}$ GeV which can be realised in a braneworld framework for any number of extra dimensions. However, requirement of (approximate) flat power spectrum of primordial density fluctuations consistent with present observations makes this simple proposal possible only for one extra dimension at around the micron scale. After the end of five-dimensional inflation, the radion modulus can be stabilised at a vacuum with positive energy of the order of the present dark energy scale. An attractive possibility is based on the contribution to the Casimir energy of right-handed neutrinos with a mass at a similar scale.

arXiv commentMatching version published in PRD

References in corpus (29)

• The Hierarchy Problem and New Dimensions at a Millimeter
• New Dimensions at a Millimeter to a Fermi and Superstrings at a TeV
• Planck 2018 results. X. Constraints on inflation
• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Power Spectra and WMAP-Derived Parameters
• On the Geometry of the String Landscape and the Swampland
• Planck 2013 results. XXII. Constraints on inflation
• Quintessence arising from exponential potentials
• Neutrino Masses from Large Extra Dimensions
• Light Neutrinos without Heavy Mass Scales: A Higher-Dimensional Seesaw Mechanism
• Black Holes and Large N Species Solution to the Hierarchy Problem
• Black Hole Bound on the Number of Species and Quantum Gravity at LHC
• Probing Large Extra Dimensions with Neutrinos
• Reheating predictions in single field inflation
• New Test of the Gravitational $1/r^2$ Law at Separations down to 52 $\mu$m
• Dynamical Dark Matter: I. Theoretical Overview
• Supernova and neutron-star limits on large extra dimensions reexamined
• The Dark Dimension and the Swampland
• Conformal Invariance, Dark Energy, and CMB Non-Gaussianity
• Natural Quintessence and Large Extra Dimensions
• Quantum Horizons of the Standard Model Landscape
• Solving the Hierarchy Problem with Exponentially Large Dimensions
• Solar neutrino oscillation from large extra dimensions
• Testing for Large Extra Dimensions with Neutrino Oscillations
• Neutrino Masses and Mixing in Brane-World Theories
• Neutrinos in Large Extra Dimensions and Short-Baseline ${\nu }_e$ Appearance
• Aspects of the Dark Dimension in Cosmology
• Large Extra Dimensions and neutrino experiments
• Exponentially Large Extra Dimensions
• Fuzzy Dark Matter and the Dark Dimension

Cited by in corpus (15)

• The CosmoVerse White Paper: Addressing observational tensions in cosmology with systematics and fundamental physics
• Anti-de Sitter $\to$ de Sitter transition driven by Casimir forces and mitigating tensions in cosmological parameters
• From infinite to infinitesimal: Using the Universe as a dataset to probe Casimir corrections to the vacuum energy from fields inhabiting the dark dimension
• Thin-wall vacuum decay in the presence of a compact dimension meets the $H_0$ and $S_8$ tensions
• Bulk Black Hole Dark Matter
• Investigating the Origin of CMB Large-Scale Features Using LiteBIRD and CMB-S4
• Role of internal space correlations in the dynamics of a higher-dimensional Bianchi type-I universe: shear scalar and Hubble parameter perspectives
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme
• Primordial Power Spectrum of Five Dimensional Uniform Inflation
• Thin-wall vacuum decay in the presence of a compact dimension
• Exploring Cosmological Implications of the Modified Raychaudhuri Equation in Non-Gravitating Vacuum Energy Theory
• Multidimensional arrow of time
• Discrete Spacetime Theories Can Explain the Muon Magnetic Moment Discrepancy
• Choice of Quantum Vacuum for Inflation Observables
• Curvature-Assisted Dynamical Compactification in a Pre-Inflationary Higher-Dimensional Universe