A Model Cosmology Based on Gravity-Electromagnetism Unification

Abstract

In this article the GEM (Brandenburg, 1992; Brandenburg, 1988) theory is applied to the problem of the cosmos in which most of the matter is hydrogen, spacetime is flat, and a Cosmic Background Radiation CBR field exists. Using the two postulates of the GEM theory: 1. That gravity fields are equivalent to an array of E × B drifts or a spacially varying Poynting field, such that spacetime is determined by EM fields so that the stress tensor of ultrastrong fields is self-canceling; 2. That EM and gravity fields and protons and electrons are unified at the Planck scale of lengths and energies and split apart to form distinct fields and separate particles at the “Mesoscale” of normal particle rest energies and classical radii. A new derivation is made of the formula for G found previously: G = e ²/(m _p m _e )α exp(−2R ^1/2) = 6.668 × 10⁻⁸ dynes cm² g⁻²where m _p and m _e are the proton and electron masses respectively, R = m _p /m _e and α is the fine structure constant, shows that quantum processes may occur which make the vacuum unstable to appearance of hydrogen thus allowing matter creation and a steady state universe to occur. The value for the Hubble Time calculated from this model is T _o = (3/((2α)(αR^1/2)⁴))^1/3(r _e /c)(e ²/Gm _p m _e ) = 19 Gyr where r _e = e ²/(m _e c ²) and follows the form first hypothesized by Dirac(1937). The CBR is traced to this process of matter creation and its temperature is calculated as being T _CBR = ((3/4)Gm _e ² c/(σ²σ_o))^1/4 = 2.66K where σ is the Thomson cross section of the electron and σ_o is the Stefan-Boltzman constant.