Non-minimally coupled varying constants quantum cosmologies

Abstract

We consider gravity theory with varying speed of light and varying gravitational constant. Both constants are represented by non-minimally coupled scalar fields. We examine the cosmological evolution in the near curvature singularity regime. We find that at the curvature singularity the speed of light goes to infinity while the gravitational constant vanishes. This corresponds to the Newton's Mechanics limit represented by one of the vertex of the Bronshtein-Zelmanov-Okun cube. The cosmological evolution includes both the pre-big-bang and post-big-bang phases separated by the curvature singularity. We also investigate the quantum counterpart of the considered theory and find the probability of transition of the universe from the collapsing pre-big-bang phase to the expanding post-big-bang phase.

8 pages, 1 figure, references added

References in corpus (25)

• The Ekpyrotic Universe: Colliding Branes and the Origin of the Hot Big Bang
• Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale
• The fundamental constants and their variation: observational status and theoretical motivations
• The Pre-Big Bang Scenario in String Cosmology
• Cosmic Evolution in a Cyclic Universe
• From Big Crunch to Big Bang
• A Cyclic Model of the Universe
• Gravity's Rainbow
• A time varying speed of light as a solution to cosmological puzzles
• Distance Measurement and Wave Dispersion in a Liouville-String Approach to Quantum Gravity
• Cosmologies with Varying Light-Speed
• Trialogue on the number of fundamental constants
• Astrophysical Probes of the Constancy of the Velocity of Light
• Observer-independent quanta of mass and length
• Covariant and locally Lorentz-invariant varying speed of light theories
• Dynamical Mechanism for Varying Light Velocity as a Solution to Cosmological Problems
• Graceful exit in quantum string cosmology
• Scalar-Tensor Gravity Theory For Dynamical Light Velocity
• Bi-metric Gravity and "Dark Matter"
• Space-Time Foam Effects on Particle Interactions and the GZK Cutoff
• Birth of the Universe as quantum scattering in string cosmology
• Note on Varying Speed of Light Cosmologies
• Boundary Conditions in Quantum String Cosmology
• Varying constants quantum cosmology
• Dynamical System Approach to Cosmological Models with a Varying Speed of Light

Cited by in corpus (10)

• Varying constants entropic--$\Lambda$CDM cosmology
• Emergence of multiverse in third quantized varying constants cosmologies
• Spinor wave function of the Universe in non-minimally coupled varying constants cosmologies
• Do we live in an eigenstate of the "fundamental constants" operators?
• Doubleverse entanglement in third quantized non-minimally coupled varying constants cosmologies
• Varying constants driven baryogenesis
• Anthropic Selection of Physical Constants, Quantum Entanglement, and the Multiverse Falsifiability
• Regularizing future cosmological singularities with varying speed of light
• Decaying universes and the emergence of Bell-type interuniversal entanglement in varying fundamental constants cosmological model
• Cosmogenesis as symmetry transformation