Goursat's problem and the holographic principle
Copyright policy )Goursat's problem and the holographic principle
The whole idea of holography as put forward by Gerard 't Hooft assumes that data on a boundary determine physics in the volume. This corresponds to a Dirichlet problem for euclidean signature, or to a Goursat (characteristic) problem in the lorentzian setting. Is this last aspect of the problem that is explored here for Ricci flat spaces with vanishing cosmological constant.
LaTeX, 47 pages, 4 figures
High Energy Physics - Theory, High Energy Physics - Theory (hep-th), Research exposition (monographs, survey articles) pertaining to quantum theory, Boundary value problems in the complex plane, FOS: Physical sciences, Quantum field theory on curved space or space-time backgrounds
High Energy Physics - Theory, High Energy Physics - Theory (hep-th), Research exposition (monographs, survey articles) pertaining to quantum theory, Boundary value problems in the complex plane, FOS: Physical sciences, Quantum field theory on curved space or space-time backgrounds
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