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arXiv · gr-qc/0310096

Almost product manifolds as the low energy geometry of Dirichlet branes

Frederic P. Schuller
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Abstract

Any candidate theory of quantum gravity must address the breakdown of the classical smooth manifold picture of space-time at distances comparable to the Planck length. String theory, in contrast, is formulated on conventional space-time. However, we show that in the low energy limit, the dynamics of generally curved Dirichlet p-branes possess an extended local isometry group, which can be absorbed into the brane geometry as an almost product structure. The induced kinematics encode two invariant scales, namely a minimal length and a maximal speed, without breaking general covariance. Quantum gravity effects on D-branes at low energy are then seen to manifest themselves by the kinematical effects of a maximal acceleration. Experimental and theoretical implications of such new kinematics are easily derived. We comment on consequences for brane world phenomenology.

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Frederic P. Schuller. 2004-03-31. Almost product manifolds as the low energy geometry of Dirichlet branes. https://doi.org/10.1140/epjcd%2Fs2004-01-006-x

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