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FUNDAMENTAL STRUCTURE OF LOOP QUANTUM GRAVITY [PDF]

open access: yesInternational Journal of Modern Physics D, 2007
In the recent twenty years, loop quantum gravity, a background independent approach to unify general relativity and quantum mechanics, has been widely investigated. The aim of loop quantum gravity is to construct a mathematically rigorous, background independent, non-perturbative quantum theory for a Lorentzian gravitational field on a four ...
Muxin Han, Yongge Ma
exaly   +4 more sources

Spinor representation for loop quantum gravity [PDF]

open access: yesJournal of Mathematical Physics, 2012
We perform a quantization of the loop gravity phase space purely in terms of spinorial variables, which have recently been shown to provide a direct link between spin network states and simplicial geometries. The natural Hilbert space to represent these spinors is the Bargmann space of holomorphic square-integrable functions over complex numbers.
Etera R Livine
exaly   +4 more sources

Loop Quantum Gravity: A Demystified View

Gravitation and Cosmology, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vyas, Rakshit P., Joshi, Mihir J.
openaire   +1 more source

The Metaphysical Challenge of Loop Quantum Gravity

Studies in History and Philosophy of Science Part A, 2021
Many consider the apparent disappearance of time and change in quantum gravity the main metaphysical challenge since it seems to lead to a form of Parmenidean view according to which the physical world simply is, nothing changes, moves, becomes, happens. In this paper, I argue that the main metaphysical challenge of Rovelli's philosophical view of loop
openaire   +2 more sources

Quantum Gravity With Connections And Loops

2007
Abstract This chaper presents canonical quantization in connection and loop variables. Focus is made on the quantization of area and the issue of constructing a well-defined Hamiltonain constraint.
openaire   +1 more source

Loop Quantum Gravity

2016
LQG is, along with string theory, one of the best-established quantum gravity programs. Proponents of LQG hold that the most important lesson of GR is the diffeomorphism invariance of the gravitational field, and thus seek to preserve diffeomorphism invariance at the high-energy level of quantum gravity.
openaire   +1 more source

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