Y. Ezawa et al., A POSSIBLE WAY OF STABILIZING A HIGHER-DIMENSIONAL UNIVERSE, Nuovo cimento della Societa italiana di fisica. B, Relativity, classical and statistical physics, 111(3), 1996, pp. 355-362
We examine the stability of the extra-dimensional compactified spaces
necessary for, e.g., the string theory. The analysis of a simplified m
odel indicates that these spaces collapse classically and quantum-mech
anically. To resolve this serious problem, we propose a new Planckian-
scale physics which suggests the non-commutative nature of the space-t
ime.