Johannes Aastrup - Arxiv Sanity Preserver
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In this paper we establish the existence of the non-perturbative theory of quantum gravity known as quantum holonomy theory by showing that a Hilbert space ...
[ ] C*-algebras of Holonomy-Diffeomorphisms & Quantum Gravity...
arxiv.org
Title: C*-algebras of Holonomy-Diffeomorphisms & Quantum Gravity I. Authors: Johannes Aastrup, Jesper M. Grimstrup. (Submitted on 23 Sep ...
Quantum Holonomy Theory – ScienceOpen
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We present quantum holonomy theory, which is a non-perturbative theory of
quantum gravity coupled to fermionic degrees of freedom. The theory is based on
a...
[ ] From Quantum Gravity to Quantum Field Theory via...
arxiv.org
Authors: Johannes Aastrup, Jesper M. Grimstrup. (Submitted on 1 May 2011). Abstract: A link between canonical quantum gravity and fermionic quantum field ...
[ ] Intersecting Quantum Gravity with Noncommutative Geometry...
arxiv.org
Authors: Johannes Aastrup, Jesper M. Grimstrup. (Submitted on 28 Mar 2012). Abstract: We review applications of noncommutative geometry in canonical quantum gravity. First, we show that the framework of loop quantum gravity includes natural noncommutative structures which have, hitherto, not been explored. Next, we ...
Journal of Geometry and Physics | Vol 99, Pages (January 2016)...
www.sciencedirect.com
C ∗ -algebras of holonomy-diffeomorphisms & quantum gravity II. Johannes Aastrup, Jesper Møller Grimstrup. Pages : Download PDF. Article preview.
A New Spectral Triple over a Space of Connections | SpringerLink
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A new construction of a semifinite spectral triple on an algebra of holonomy loops is presented. The construction is canonically associated to quantum gravity...
Quantum Holonomy Theory : Johannes Aastrup : Free Download, Borrow,...
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We present quantum holonomy theory, which is a non-perturbative theory of quantum gravity coupled to fermionic degrees of freedom. The theory is based on a...
On Semi-Classical States of Quantum Gravity and Noncommutative...
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We construct normalizable, semi-classical states for the previously proposed model of quantum gravity which is formulated as a spectral triple over holonomy...
What is the right theory of quantum gravity? | Physics Forums
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This question, at the moment, is ridiculously difficult or even impossible to answer. Some prefer string theory, and some think that it is overly...
Alle Infos zum Namen "Johannes Aastrup"
Johannes Aastrup, Jesper Møller Grimstrup, “Intersecting quantum...
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\Bibitem{AasGri12} \by Johannes Aastrup, Jesper M{\o}ller Grimstrup \paper Intersecting quantum gravity with noncommutative geometry -- a ...
Intersecting Quantum Gravity with Noncommutative Geometry - a Review
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Intersecting Quantum Gravity with Noncommutative Geometry - a Review. Johannes Aastrup a and Jesper Møller Grimstrup b a) Institut für Analysis, ...
Loops '05
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1. Johannes Aastrup (University of Hannover) 2. Ladan Abolghasemi (University of Toronto) 3. Judith Adams (Journal Classical and Quantum Gravity)
Loop Quantum Gravity and Cosmology
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The aim of this special issue of SIGMA is to provide a current overview of some of ... Johannes Aastrup and Jesper ... Numerical Techniques in Loop Quantum Cosmology
C∗-algebras of holonomy-diffeomorphisms & quantum gravity II
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We introduce the holonomy-diffeomorphism algebra, a C∗-algebra generated by flows of vector fields and the compactly supported smooth functions on a manifold....
Altmetric – On Semi-Classical States of Quantum Gravity and...
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Published in. arXiv, January DOI, s x. Authors. Johannes Aastrup, Jesper M. Grimstrup, Mario Paschke, Ryszard Nest ...
Intersecting Quantum Gravity with Noncommutative Geometry - a Review...
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Johannes AASTRUP and Jesper Mller GRIMSTRUP. Institut fr Analysis, Leibniz Universitat Hannover,Welfengarten 1, D Hannover, Germany E-mail: ...
[PDF] Intersecting Quantum Gravity with Noncommutative Geometry { a...
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We review applications of noncommutative geometry in canonical quantum gravity. First, we show that the framework of loop quantum gravity includes natural non-...
Loop Quantum Gravity | CQG+
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Posts about Loop Quantum Gravity written by janeheslingiop, Holly Young, Emily Tapp, David Jones, Jennifer Sanders, and Claire Fullarton
On a Lattice-Independent Formulation of Quantum Holonomy Theory
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Johannes Aastrup,; Jesper M. Grimstrup. Quantum holonomy theory is a candidate for a non-perturbative theory of quantum gravity coupled to fermions. The theory is based on the QHD(M) algebra, which essentially encodes how matter degrees of freedom are moved on a three-dimensional manifold.
Journal of Geometry and Physics
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C∗-algebras of holonomy-diffeomorphisms & quantum gravity II · Johannes Aastrup, Jesper Møller Grimstrup · Journal of Geometry and ...
AMS :: Proceedings of the American Mathematical Society
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MR , https://doi.org JNCG/30; [3] Johannes Aastrup, Jesper Møller Grimstrup, and Ryszard Nest, On spectral triples in quantum gravity.
Publications
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3, (3), ; Holonomy loops, spectral triples and quantum gravity Johannes Aastrup , Jesper Møller Grimstrup and Ryszard Nest, Class. Quantum Grav.
Archive ouverte HAL - Quantum gravity coupled to matter via...
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We show that the principal part of the Dirac Hamiltonian in 3+1 dimensions emerges in a semi-classical approximation from a construction which encodes the...
Quantum Holonomy Theory and Hilbert Space Representations
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Johannes Aastrup,; Jesper M. Grimstrup. We present a new formulation of quantum holonomy theory, which is a candidate for a non-perturbative and background independent theory of quantum gravity coupled to matter and gauge degrees of freedom. The new formulation is based on a Hilbert space ...
[PDF] On spectral triples in quantum gravity II | Semantic Scholar
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A semifinite spectral triple for an algebra canonically associated to canonical quantum gravity is constructed. The algebra is generated by based loops in a...
Quantum Gravity coupled to Matter via Noncommutative Geometry
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We show that the principal part of the Dirac Hamiltonian in 3+1 dimensions emerges in a semi-classical approximation from a construction which encodes the...
Symmetry, Integrability and Geometry: Methods and Applications: Архив
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Intersecting quantum gravity with noncommutative geometry – a review. Johannes Aastrup, Jesper Møller Grimstrup, 18. Tippe Top equations and equations for ...
[ v1] Quantum Holonomy Theory and Hilbert Space...
128.84.21.199
Authors: Johannes Aastrup, Jesper M. Grimstrup. (Submitted on 21 Apr (this version), latest version 9 May (v3)). Abstract: We present a new formulation of quantum holonomy theory, which is a candidate for a non-perturbative and background independent theory of quantum gravity coupled to matter and gauge ...
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