Abstract
Conjectures regarding connections between hyper-spheres kissing problems in one- to eight-dimensional spaces and the inverse coupling constant of quantum gravity are presented. In particular we demonstrate that in S (7) and S (8) the coupling constants of the non-super-symmetric and the super-symmetric unification are given by α ¯ g = K ( 128 ) 7 ≃ 42 and α ¯ gs = K ( 128 ) 8 ≃ 26 respectively where K(128) ≃ (2.18)(10) 11 is the sphere kissing number in D = 128 Euclidian space.
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