Emergence of Non-commutative Space-time in Pre-geometric Gravity
We develop a non-commutative extension of pre-geometric gravity based on a BF theory with gauge group SO(1, 4) or SO(2, 3). The theory is formulated on a topological manifold without presupposing any spacetime metric, with coordinates promoted to non-commutative operators via the Moyal star product. Four constrained BF...