Exact Recession Velocity and Cosmic Redshift Based on Cosmological Principle and Yang-Mills Gravity

2019/08/01 by Hsu, Jong-Ping, Hsu, Leonardo
#FOS: Physical sciences #General Physics (physics.gen-ph)

paper · doi:10.48550/arxiv.1908.01585

Abstract

Based on the cosmological principle and quantum Yang-Mills gravity in the super-macroscopic limit, we obtain an exact recession velocity and cosmic redshift z, as measured in an inertial frame F≡ F(t,x,y,z). For a matter-dominated universe, we have the effective cosmic metric tensor G_μν(t)=(B²(t),-A²(t),-A²(t),-A²(t)), A∝ B∝ t^1/2, where t has the operational meaning of time in F frame. We assume a cosmic action S≡ S_cos involving G_μν(t) and derive the `Okubo equation' of motion, G^μν(t)∂_μS ∂_νS - m²=0, for a distant galaxy with mass m. This cosmic equation predicts an exact recession velocity, r=rH/[1/2 +√(1/4+r²H²/C_o²) ]

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