A Primordial Space-time Metric

Abstract

Pre-space-time reality is modeled as a primordial field, a matterless continuum or super­fluid, in which local field energy is effectively limitless.  Super-fluids are charact­erized by vorticity κ = ∇ × b where b is magnetic-like: ∇ ×b =0, b =∇×A. The problem of pre-space-­time modeling is the evolution of the system: Unlike the Schwarzschild static solution g₀₀ = -(1 + 2𝜙), the pre-space-time metric must evolve with time.  The Horizon Problem seeks to explain the isotropy of the universe based on inflation models wherein separate regions of the universe are never in contact; therefore a solution should hold at arbitrary points in the field.  In this paper, I construct the physics of h_ij for a dynamic spatially homo­geneous anisotropic Bianchi vacuum model that exactly solves Einstein's equations in terms of the physically real primordial field.