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Every now and then I see accounts of models that claim to explain why we experience only 3 large space dimensions (locally, i.e. within cosmic horizons and outside black hole horizons).

One such of course is string theory; but I wondered if there might be others, and perhaps even a survey of this topic along the lines of those expository articles one often sees in the ArXiV.

Qmechanic
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JFYI yesterday interactions.org released a story titled with "The mechanism that explains why our universe was born with 3 dimensions: a 40-year-old puzzle of superstring theory solved by supercomputer". Where Japanese scientist using a supercomputer found out that three out of nine spatial directions start to expand at some “critical time”, after which the space has SO(3) symmetry instead of SO(9). Here is the link to arxiv.