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Polymer and Fock representations for a Scalar field
Abhay Ashtekar, Jerzy Lewandowski, Hanno Sahlmann
In loop quantum gravity, matter fields can have support only on the `polymer-like' excitations of quantum geometry, and their algebras of observables and Hilbert spaces of states c…
Quantum gravity, shadow states, and quantum mechanics
Abhay Ashtekar, Stephen Fairhurst, Joshua L. Willis
A program was recently initiated to bridge the gap between the Planck scale physics described by loop quantum gravity and the familiar low energy world. We illustrate the conceptua…
Dynamical Horizons: Energy, Angular Momentum, Fluxes and Balance Laws
Abhay Ashtekar, Badri Krishnan
Dynamical horizons are considered in full, non-linear general relativity. Expressions of fluxes of energy and angular momentum carried by gravitational waves across these horizons…
Isolated Horizons in 2+1 Gravity
Abhay Ashtekar, Olaf Dreyer, Jacek Wisniewski
Using ideas employed in higher dimensional gravity, non-expanding, weakly isolated and isolated horizons are introduced and analyzed in 2+1 dimensions. While the basic definitions…
Quantum Geometry In Action: Big Bang and Black Holes
Abhay Ashtekar
Over the last three years, a number of fundamental issues in quantum gravity were addressed in the framework of quantum geometry, discussed extensively by John Baez in this confere…