Self-organized criticality in quantum gravity

Abstract

We study a simple model of spin network evolution motivated by the hypothesis that the emergence of classical space-time from a discrete microscopic dynamics may be a self-organized critical process. Self organized critical systems are statistical systems that naturally evolve without fine tuning to critical states in which correlation functions are scale invariant. We study several rules for evolution of frozen spin networks in which the spins labelling the edges evolve on a fixed graph. We find evidence for a set of rules which behaves analogously to sand pile models in which a critical state emerges without fine tuning, in which some correlation functions become scale invariant.

9 pages, 8 figures, revised

References in corpus (8)

• Spin Networks and Quantum Gravity
• Spin Network States in Gauge Theory
• The basis of the Ponzano-Regge-Turaev-Viro-Ooguri model is the loop representation basis
• Non-perturbative 3d Lorentzian Quantum Gravity
• Causal evolution of spin networks
• Aging in a Model of Self-Organized Criticality
• Self-Organized Criticality in a Transient System
• Propagating spin modes in canonical quantum gravity

Cited by in corpus (5)

• 25 Years of Self-Organized Criticality: Solar and Astrophysics
• Self-Organized Criticality and Pattern Emergence through the lens of Tropical Geometry
• The Self-Organized de Sitter Universe
• Expanding and Self-Organizing 2D Universe Models Emerging from Frozen Trivalent Spin Networks
• Ergodic Concepts for a Self-Organizing Trivalent Spin Network: A Path to $(2+1)$-dimensional Black Hole Entropy