Big extra dimensions make Lambda too small

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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plainTeX, 9 pages, no figures To appear in a special issue of the Brazilian Journal of Physics devoted to the Proceedings of t

Scientific paper

I argue that the true quantum gravity scale cannot be much larger than the Planck length, because if it were then the quantum gravity-induced fluctuations in $\Lam$ would be insufficient to produce the observed cosmic ``dark energy''. If one accepts this argument, it rules out scenarios of the ``large extra dimensions'' type. I also point out that the relation between the lower and higher dimensional gravitational constants in a Kaluza-Klein theory is precisely what is needed in order that a black hole's entropy admit a consistent higher dimensional interpretation in terms of an underlying spatio-temporal discreteness.

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