A simple quantum cosmology

Abstract

A simple and surprisingly realistic model of the origin of the universe can be developed using the Friedmann equation from general relativity, elementary quantum mechanics, and the experimental values of h, c, G and the proton mass. The model assumes there are N space dimensions (with N > 6) and the potential constraining the radius r of the invisible N -3 compact dimensions varies as r^4. In this model, the universe has zero total energy and is created from nothing. There is no initial singularity. If space-time is eleven dimensional, as required by M theory, the scalar field corresponding to the size of the compact dimensions inflates the universe by about 26 orders of magnitude (60 e-folds). If the Hubble constant is 65 km/sec Mpc, the energy density of the scalar field after inflation results in Omega-sub-Lambda = 0.68, in agreement with recent astrophysical observations.

To be published in General Relativity and Gravitation, August 2001

Cited by in corpus (15)

• Dark Matter and Dark Energy
• Dark Energy and Gravity
• Dark energy: a quantum fossil from the inflationary Universe?
• Accelerating Universe from the Evolution of Extra Dimensions
• Polytropic dark matter flows illuminate dark energy and accelerated expansion
• Zeta Function Methods and Quantum Fluctuations
• Dark Energy: The Shadowy Reflection of Dark Matter?
• The Number of Information Bits Related to the Minimum Quantum and Gravitational Masses in a Vacuum Dominated Universe
• Cosmological perturbations in the $\Lambda$CDM-like limit of a polytropic dark matter model
• Holography and non-locality in a closed vacuum-dominated universe
• Simple quantum cosmology: Vacuum energy and initial state
• Scaling Law for the Cosmological Constant from Quantum Cosmology with Seven Extra Dimensions
• Bulk Scale Factor at Very Early Universe
• Energy composition of the Universe: time-independent internal symmetry
• Wormholes, Void Bubbles and Vacuum Energy Suppression