Shape in an Atom of Space: Exploring quantum geometry phenomenology

Abstract

A phenomenology for the deep spatial geometry of loop quantum gravity is introduced. In the context of a simple model, an atom of space, it is shown how purely combinatorial structures can affect observations. The angle operator is used to develop a model of angular corrections to local, continuum flat-space 3-geometries. The physical effects involve neither breaking of local Lorentz invariance nor Planck scale suppression, but rather reply on only the combinatorics of SU(2) recoupling. Bhabha scattering is discussed as an example of how the effects might be observationally accessible.

14 pages, 7 figures; v2 references added

References in corpus (4)

• Testing Einstein's special relativity with Fermi's short hard gamma-ray burst GRB090510
• Black Hole Bound on the Number of Species and Quantum Gravity at LHC
• Lorentz Violation: Motivation and new constraints
• The length operator in Loop Quantum Gravity

Cited by in corpus (6)

• Loop quantum gravity: the first twenty five years
• Bohr-Sommerfeld Quantization of Space
• Loop Quantum Gravity
• Static isolated horizons: SU(2) invariant phase space, quantization, and black hole entropy
• Loop Quantum Gravity Phenomenology: Linking Loops to Observational Physics
• Quantum Geometry Phenomenology: Angle and Semiclassical States