Observational Tests to Discern the Topology of Planckian Space-Time

Abstract

Observational diagnostics are constructed which reflect the underlying topology of Planckian space-time, and are directly related to phenomena on much larger scales. Specific predictions are made for the masses of elementary particles, coupling constants, quark confinement, black hole states, and the cosmological constant. In particular, a mass of 131.6 GeV is found for the Higgs boson. The main presented result is a discrete spectral signature at inverse integer multiples of the zero point frequency $\nu_0=857.3588$ MHz. That is, each photon of frequency $\nu_0m$, for an integer $m$, is paired with an otherwise identical photon $\nu_0/m$, produced by the vacuum, but not vice versa. The reader interested in the latter result only, should proceed to Section 6 after the Introduction.