Authors: Bernard Riley
Motivated by T-duality, the 10D/4D correspondence is expanded to apply on trans-Planckian scales. On particle mass scales, the correspondence relates four-dimensional length scales with mass values derived from a ten-dimensional geometry. On trans-Planckian scales, the correspondence relates four-dimensional mass scales with length values derived from the ten-dimensional geometry. Trans-Planckian length scales corresponding to the masses of stellar, intermediate-mass and supermassive black holes are shown to derive from the higher-dimensional geometry. The trans-Planckian length scales calculated for supermassive black holes correlate with the masses of atomic nuclei across the Planck divide suggesting that the two types of object are analogous. Curiously, the galaxy cluster has a particle analogue.
Comments: 9 Pages. Bracketed quantities removed from p2.
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