Matter-driven change of spacetime topology

Abstract

Using Monte-Carlo computer simulations, we study the impact of matter fields on the geometry of a typical quantum universe in the CDT model of lattice quantum gravity. The quantum universe has the size of a few Planck lengths and the spatial topology of a three-torus. The matter fields are multi-component scalar fields taking values in a torus with circumference $\delta$ in each spatial direction, which acts as a new parameter in the CDT model. Changing $\delta$, we observe a phase transition caused by the scalar field. This discovery may have important consequences for quantum universes with non-trivial topology, since the phase transition can change the topology to a simply connected one.

arXiv comment5 pages, 5 figures

References in corpus (13)

• Emergence of a 4D World from Causal Quantum Gravity
• Reconstructing the Universe
• Nonperturbative Quantum Gravity
• Quantum Gravity from Causal Dynamical Triangulations: A Review
• Planckian Birth of the Quantum de Sitter Universe
• The Nonperturbative Quantum de Sitter Universe
• Semiclassical Universe from First Principles
• The Semiclassical Limit of Causal Dynamical Triangulations
• Impact of topology in causal dynamical triangulations quantum gravity
• Four-dimensional CDT with toroidal topology
• Pseudo-Cartesian coordinates in a model of Causal Dynamical Triangulations
• Cosmic voids and filaments from quantum gravity
• Properties of dynamical fractal geometries in the model of Causal Dynamical Triangulations

Cited by in corpus (7)

• Are there ALPs in the asymptotically safe landscape?
• Shift-symmetric Horndeski gravity in the asymptotic-safety paradigm
• Is Lattice Quantum Gravity Asymptotically Safe? Making contact between Causal Dynamical Triangulations and the Functional Renormalization Group
• Topology induced first-order phase transitions in lattice quantum gravity
• Toward matter dynamics in spin foam quantum gravity
• The weak-gravity bound and the need for spin in asymptotically safe matter-gravity models
• Yang--Mills topology on four-dimensional triangulations