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A Scenario for the Dimensional Compactification in Eleven-Dimensional Space-Time

Giovanni Montani
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Abstract

We discuss the inhomogeneous multidimensional mixmaster model in view of appearing, near the cosmological singularity, a scenario for the dimensional compactification in correspondence to an 11-dimensional space-time. Our analysis candidates such a collapsing picture toward the singularity to describe the actual expanding 3-dimensional Universe and an associated collapsed 7-dimensional space. To this end, a conformal factor is determined in front of the 4-dimensional metric to remove the 4-curvature divergences and the resulting Universe expands with a power-law.inflation. Thus we provide an additional peculiarity of the eleven space-time dimensions in view of implementing a geometrical theory of unification.

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Giovanni Montani. 2004-04-07. A Scenario for the Dimensional Compactification in Eleven-Dimensional Space-Time. https://doi.org/10.1142/s0218271804004967

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