Quantum gravity states, entanglement graphs and second-quantized tensor networks

Physical states in canonically quantized , finite , 4 dimensional quantum gravity

Physical states in canonically quantized, finite, 4 dimensional quantum gravity. Minisuperspace Asktekar–Klein–Gordon model. Abstract This is the second paper in a series outlining an algorithm to consistently quantize four dimensional gravity in Ashtekar variables. We put to use the machinery and techniques developed in the first paper for a simple example in minisuperspace, highlighting the s...

Physical states in canonically quantized , finite , 4 dimensional quantum gravity . Quantized constraints of the full theory

Physical states in canonically quantized, finite, 4 dimensional quantum gravity. Quantized constraints of the full theory. Abstract This is the first in a series of papers outlining an algorithm to explicitly construct a finite quantum theory of gravity in Ashtekar variables. The algorithm is based upon extending some properties of a special state, the Kodama state for pure gravity with cosmolo...

Quantum Entanglement and Tensor Network RG

For many decades, the Landau theory of symmetry breaking has dominated thinking about phase transitions. Recent interest in topological phases and quantum orders, which lie beyond the realm of symmetry breaking theory. Need a more robust framework. RG provides. I describe how numerical RG can be used to understand phases beyond sym. breaking. Implementation for quantum ordered phases requires i...

Noyes QUANTIZED CONIC SECTIONS ; QUANTUM GRAVITY

Stress Tensor Fluctuations and Passive Quantum Gravity

The quantum fluctuations of the stress tensor of a quantum field are discussed , as are the resulting spacetime metric fluctuations. Passive quantum gravity is an approximation in which gravity is not directly quantized, but fluctuations of the spacetime geometry are driven by stress tensor fluctuations. We discuss a decomposition of the stress tensor correlation function into three parts, and ...