A derivation of the fine structure constant from the exceptional Lie group hierarchy of the micro cosmos

摘要

The intrinsic dimension of the exceptional Lie symmetry group vertical bar E-8 vertical bar is as well-known 57. On the other hand vertical bar E-8 vertical bar is given by the multiplication of the rank 8 by the prime 31 giving 248. Similar relations do exist for an entire hierarchy of exceptional Lie groups which when appropriately summed up gives the inverse fine structure constant of the electromagnetic force. Granting that 57 may be regarded as an intrinsic dimensionality of the micro cosmos and hence E8E8 is the fundamental symmetry group of various fundamental quantum gravity theories, notably heterotic super-string, one is tempted to see electromagnetism as more fundamental than gravity and particles physics and that the exceptional Lie group hierarchy is the symmetry of quantum fluctuations of the universe. (c) 2007 Elsevier Ltd. All rights reserved.