Shape in an Atom of Space: Exploring quantum geometry phenomenology

Details Shape in an Atom of Space: Exploring quantum geometry phenomenology Shape in an Atom of Space: Exploring quantum geometry phenomenology

2010-05-29

arxiv.org/abs/1005.5460v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, 7 figures; v2 references added

Scientific paper

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.

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