15 citations · 67 across the 13 of their papers we have counts for
13 papers
Plane wave holonomies in loop quantum gravity II: sine wave solution
Donald E. Neville
This paper constructs an approximate sinusoidal wave packet solution to the equations of loop quantum gravity (LQG). There is an SU(2) holonomy on each edge of the LQG simplex, and…
Plane wave holonomies in loop quantum gravity I: symmetries and gauges
Donald E. Neville
This is the first of two papers which study the behavior of the SU(2) holonomies of loop quantum gravity (LQG), when they are acted upon by a unidirectional, plane gravity wave. In…
On the Classical Limit of Spin Network Gravity: Two Conjectures
Donald E. Neville
Estimates are given of the time scales which govern spreading of a coherent state wave packet. The estimates, based on dimensional analysis, suggest that spreading should be small…
Planar spin network coherent states II. Small corrections
Donald E. Neville
This paper is the second of two which construct coherent states for spin networks with planar symmetry. Paper 1 constructs set of coherent states peaked at specific values of holon…
Spin network coherent states for planar gravitational waves. I
Donald E. Neville
This paper constructs coherent states for spin networks with planar symmetry. After gauge-fixing, the full SU(2) symmetry is broken to U(1), but one cannot simply use the U(1) limi…
The volume operator for singly polarized gravity waves with planar or cylindrical symmetry
Donald E. Neville
A previous paper constructed a kinematic basis for spin networks with planar or cylindrical symmetry and arbitrary polarization. This paper imposes a constraint which limits the gr…