Conjectures regarding kissing spheres hierarchy and quantum gravity unification

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 byα¯g=K(128)7≃42andα¯gs=K(128)8≃26respectively where K(128) ≃ (2.18)(10)11 is the sphere kissing number in D = 128 Euclidian space.