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- W4288273276 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 $Fequiv F(t,x,y,z).$ For a matter-dominated universe, we have the effective cosmic metric tensor $G_{munu}(t)=(B^2(t),-A^2(t),-A^2(t),-A^2(t)), Apropto Bpropto t^{1/2}$, where $t$ has the operational meaning of time in $F$ frame. We assume a cosmic action $Sequiv S_{cos}$ involving $G_{munu}(t)$ and derive the `Okubo equation' of motion, $G^{munu}(t)partial_mu S partial_nu S - m^2=0$, for a distant galaxy with mass $m$. This cosmic equation predicts an exact recession velocity, $dot{r}=rH/[1/2 +sqrt{1/4+r^2H^2/C_o^2} ]<C_o$, where $H=dot{A}(t)/A(t)$ and $C_o=B/A$, as observed in the inertial frame $F$. For small velocities, we have the usual Hubble's law $dot{r} approx rH$ for recession velocities. Following the formulation of the accelerated Wu-Doppler effect, we investigate cosmic redshifts z as measured in $F$. It is natural to assume the massless Okubo equation, $G^{munu}(t)partial_mu psi_e partial_nu psi_e=0$, for light emitted from accelerated distant galaxies. Based on the principle of limiting continuation of physical laws, we obtain a transformation for covariant wave 4-vectors between and inertial and an accelerated frame, and predict a relationship for the exact recession velocity and cosmic redshift, $z=[(1+V_r)/(1-V_r^2)^{1/2}] - 1$, where $V_r=dot{r}/C_o<1$, as observed in the inertial frame $F$. These predictions of the cosmic model are consistent with experiments for small velocities and should be further tested." @default.
- W4288273276 created "2022-07-28" @default.
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- W4288273276 date "2019-08-01" @default.
- W4288273276 modified "2023-09-25" @default.
- W4288273276 title "Exact Recession Velocity and Cosmic Redshift Based on Cosmological Principle and Yang-Mills Gravity" @default.
- W4288273276 doi "https://doi.org/10.48550/arxiv.1908.01585" @default.
- W4288273276 hasPublicationYear "2019" @default.
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