On Semi-Classical States of Quantum Gravity and Noncommutative Geometry

A. Ashtekar, “New Variables for Classical and Quantum Gravity,” Phys. Rev. Lett. 57

1986

Earlier work this paper cites.

A. Ashtekar, “New Hamiltonian Formulation of general relativity,” Phys. Rev. D 36

1987

Earlier work this paper cites.

A. Connes, “Noncommutative Geometry,” Academic Press, 1994

1994

Earlier work this paper cites.

Brian C. Hall. ”The Segal-Bargmann ”coherent state” transform for compact Lie groups”. J. Funct. Anal., 122(1):103-151, 1994

1994

Earlier work this paper cites.

A. Ashtekar and J. Lewandowski, “Differential geometry on the space of connections via graphs and projective limits,” J. Geom. Phys. 17

1995

Earlier work this paper cites.

A. Connes, “Gravity coupled with matter and the foundation of non-commutative geometry,” Commun. Math. Phys. 182

1996

Earlier work this paper cites.

A. H. Chamseddine and A. Connes, “Universal formula for noncommutative geometry actions: Unification of gravity and the standard model,” Phys. Rev. Lett. 77

1996

Earlier work this paper cites.

Brian C. Hall. ”Phase space bounds for quantum mechanics on a compact Lie group”. Comm. Math. Phys., 184(1):233-250, 1997

1997

Cited alongside, same era.

A. Ashtekar and J. Lewandowski, “Quantum theory of geometry. I: Area operators,” Class. Quant. Grav. 14

1997

Cited alongside, same era.

A. H. Chamseddine and A. Connes, “The spectral action principle,” Commun. Math. Phys. 186

1997

Cited alongside, same era.

T. Thiemann and O. Winkler, “Gauge field theory coherent states (GCS). IV: Infinite tensor product and thermodynamical limit,” Class. Quant. Grav. 18

2001

Cited alongside, same era.

M. Paschke and T. Kopf. ”A spectral quadruple for de Sitter space”, J. Math. Phys. 43

2002

Cited alongside, same era.

C. Rovelli, “Quantum gravity,” Cambridge, UK: Univ. Pr. (2004) 455 p

A. Ashtekar and J. Lewandowski, “Background independent Quantum Gravity: A status report,” Class. Quant. Grav. 21

2004

Later among the works it cites.

J. Aastrup and J. M. Grimstrup, “Spectral triples of holonomy loops,” Commun. Math. Phys. 264

2006

Later among the works it cites.

J. Aastrup and J. M. Grimstrup, “Intersecting Connes noncommutative geometry with quantum gravity,” Int. J. Mod. Phys. A 22

2007

Later among the works it cites.

J. Aastrup, J. M. Grimstrup and R. Nest, “On Spectral Triples in Quantum Gravity I,” Class. Quant. Grav. 26

Original

2009

Closest in time.

J. Aastrup, J. M. Grimstrup and R. Nest, “On Spectral Triples in Quantum Gravity II,” J. Noncommut. Geom. 3

Original

2009

Closest in time.