That was in the small. In the large, it seems to me useful writing nullspeeds from the Schwarzschild metric. Inside a black hole event horizon, tangential speeds come out IMAGINARY, hmmmmmm. Maybe there is only quick decay and no propagations.
This speaks of a contracted dimensions. There may be only 1 inside worth any physics !!  This is a different result from a few hours ago, I write the Schwarzschild metric, setting ds^2 to zero.
COMPACTED DIMENSIONS are a feature of multi-dimensional string theory and the false vacuum. Thus to find them in GR is pretty damn cool.


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