A Criterion for Physically Acceptable Extra Dimensions with Boundaries

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Revised version, references added, to appear in EPJP

Scientific paper

We present a criterion for deciding which compact extra dimensional spaces yield physically reliable Newton's law corrections. We study compact manifolds with boundary and without boundary. The boundary conditions which we use on the boundaries are Dirichlet or Neumann. We find that compact connected Riemannian manifolds with Dirichlet boundaries are completely excluded as extra dimensional spaces.

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