A Note on the Possible Existence of an Instanton-like Self-Dual Solution to Lattice Euclidean Gravity

Abstract

The self-dual solution to lattice Euclidean gravity is constructed. In contrast to the well known Eguchi-Hanson solution to continuous Euclidean Gravity, the lattice solution is asymptotically {\it{globally}} Euclidean, i.e., the boundary of the space as $r⟶\infty$ is $S^3=SU(2)$.

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