From Yang-Mills Photon in Curved Spacetime to Dark Energy Density

Abstract

We start from quantum field theory in curved spacetime to derive a new Einstein-like energy mass relation of the type E = γmc 2 where γ = 1/22 is a Yang-Mills Lorentzian factor, m is the mass and c is the velocity of light. Although quantum field in curved spacetime is not a complete quantum gravity theory, our prediction here of 95.4545% dark en ergy missing in the cosmos is almost in complete agreement with the WMAP and supernova measurements. Finally , it is concluded that the WMAP and type 1a supernova 4.5% measured energy is the ordinary energy density of the quan tum particle while the 95.5% missing dark energy is the energy density of the quantum wave. Recalling that measure ment leads to quantum wave collapse, it follows that dark energy as given by E ( D ) = mc 2 (21/22) cannot be detected using conventional direct measurement although its antigravity effect is manifested through the increasing rather than decreasing speed of cosmic expansion.