The Teleological Behavior of Rigid Regge Rods
Abstract
Field theories based on non-commutative spacetimes exhibit very distinctive nonlocal effects which mix the ultraviolet with the infrared in bizzare ways. In particular if the time coordinate is involved in the non-commutativity the theory seems to be seriously acausal and inconsistent with conventional Hamiltonian evolution. To illustrate these effects we study the scattering of wave packets in a field theory with space/time non-commutativity. In this theory we find effects which seem to precede their causes and rigid rods which grow instead of Lorentz contract as they are boosted. Despite their pathological appearance, we find that these features are found in ordinary open string theory. An analysis of open string scattering amplitudes shows that they have all the properties expected from space/time non-commutativity . We find close connections between these amplitudes, the stringy uncertainty principle and the teleological behavior of black hole horizons.Keywords
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