Is de Sitter space a fermion?

Details Is de Sitter space a fermion? Is de Sitter space a fermion?

2011-11-16

arxiv.org/abs/1111.3695v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, 4 figures

Scientific paper

Following up on a recent model yielding fermionic geometries, I turn to more familiar territory to address the question of statistics in purely geometric theories. Working in the gauge formulation of gravity, where geometry is characterized by a symmetry broken Cartan connection, I give strong evidence to suggest that de Sitter space itself, and a class of de Sitter-like geometries, can be consistently quantized fermionically. Surprisingly, the underlying mathematics is the same as that of the Skyrme model for strongly interacting baryons. This promotes the question "Is geometry bosonic or fermionic?" [arXiv:1105.4184] beyond the realm of the rhetorical and places it on uncomfortably familiar ground.

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