Holography in an early universe with asymmetric inflation

Abstract

We discuss the validity of the holographic principle in a (4 + n) dimensional universe in an asymmetric inflationary phase. In such a case, the size of these extra dimensions should be in the submillimiter scale in order to conform to the phenomenological constraints. Indeed, using Gauss's law in (4 + n) dimensions it is possible to relate the Planck scale in the (4 + n) dimensional theory(M * ) with that of the 4-dimensional theory (M P l ) by means of the size of the n compactified dimensions (b 0 ). It is easy to find [5]Assuming the usual value M P l ≃ 10 19 GeV and M * ≃ 1 TeV, we find b 0 ∼ −17+30 n cm. For n = 2 we obtain the (reasonable) value b 0 ≃ 1 mm. We would thus find deviation from Newtonian gravitation in a range within experimental search in the near future.There are several papers discussing the theoretical and phenomenological aspects of this idea [2]. From the fundamental point of view, gravity can 1

Shortcuts for graviton propagation in a six-dimensional brane world model

“…The hierarchy between the electro-weak (∼ 100 GeV ) and the Planck (10 19 GeV ) scales has been focused by means of the consideration of extra dimensions at a submilimeter size, which shows up in a theory of two extra dimensions connecting both scales. Such an idea replaces the usual one where extra dimensions should only show up at the Planck scale, and the tower of massive particles thus generated is above that level and has a wider validity, including cosmology [4].…”