A model for emergence of space and time

Abstract

We study string field theory (third quantization) of the two-dimensional model of quantum geometry called generalized CDT ("causal dynamical triangulations"). Like in standard non-critical string theory the so-called string field Hamiltonian of generalized CDT can be associated with W-algebra generators through the string mode expansion. This allows us to define an "absolute" vacuum. "Physical" vacua appear as coherent states created by vertex operators acting on the absolute vacuum. Each coherent state corresponds to specific values of the coupling constants of generalized CDT. The cosmological "time" only exists relatively to a given "physical" vacuum and comes into existence before space, which is created because the "physical" vacuum is unstable. Thus each CDT "universe" is created as a "Big Bang" from the absolute vacuum, its time evolution is governed by the CDT string field Hamiltonian with given coupling constants, and one can imagine interactions between CDT universes with different coupling constants ("fourth quantization")

References in corpus (7)

• Quantum Gravity at a Lifshitz Point
• Nonperturbative Quantum Gravity
• The Nonperturbative Quantum de Sitter Universe
• Second- and First-Order Phase Transitions in CDT
• A String Field Theory based on Causal Dynamical Triangulations
• A Matrix Model for 2D Quantum Gravity defined by Causal Dynamical Triangulations
• On the Quantum Geometry of Multi-critical CDT

Cited by in corpus (4)

• Wormholes, a fluctuating cosmological constant and the Coleman mechanism
• Models of the Universe based on Jordan algebras
• A modified Friedmann equation
• Creating 3, 4, 6 and 10-dimensional spacetime from W3 symmetry