Quantum Geometry Phenomenology: Angle and Semiclassical States

TL;DR

This paper explores how combinatorial structures in loop quantum gravity influence observable geometry, proposing models for angular corrections that could be detected through phenomena like Bhabha scattering.

Contribution

It introduces a model of angular corrections to local geometries based on combinatorial SU(2) structures, without requiring Lorentz invariance breaking or Planck suppression.

Findings

Angular corrections affect local geometries.

Effects are observable without Lorentz invariance violation.

Bhabha scattering could reveal quantum geometric effects.

Abstract

The phenomenology for the deep spatial geometry of loop quantum gravity is discussed. In the context of a simple model of 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) recouping theory. Bhabha scattering is discussed as an example of how the effects might be observationally accessible.