Adopted Adolescents and the Birth Parent Quest

Cosmological Parameters from Planck Data in SU(2)CMB, Their Local ΛCDM Values, and the Modified Photon Boltzmann Equation

“…In an (energy conserving) FLRW universe one demands $$$$\begin{equation} \frac{\text{d}{\rho}_{\mathrm{YM}}}{\text{d}a}=-\frac{3}{a}\left({\rho}_{\mathrm{YM}}+{P}_{\mathrm{YM}}\right)\, \end{equation}$$$$where ρ YM and P YM denote energy density and pressure, respectively, in the deconfining phase of SU(2) Yang– Mills thermodynamic, and a refers to the cosmological scale factor, normalized to $$a({T}_{0})\text\,{=}\,1$$, where $${T}_{\text{c}}\ \text{=}\ {T}_{0}\ \text{=}\ 2.725$$ K indicates the present baseline temperature of the CMB, [ 52 ] interpreted as the critical temperature $${T}_{\text{c}}$$ for the deconfining‐preconfining phase transition in Hofmann. [ 7 ] The solution of Equation(1) can be recast as $$$$\begin{equation} a\equiv \frac{1}{z+1}=\exp\left(-\frac{1}{3}\log\left(\frac{{s}_{\rm YM}(T)}{{s}_{\rm YM}({T}_{0})}\right)\right)\, \end{equation}$$$$Here the entropy density s YM is given as $$$$\begin{equation} {s}_{\rm YM}\equiv \frac{{\rho}_{\rm YM}+{P}_{\rm YM}}{T} \end{equation}$$$$which shows that the a priori estimates of the thermal ground‐state contributions to pressure and energy density do not contribute to Equation (2…”

“…[ 92 ] $$$$\begin{equation} {L}_{\text{SU(2)}}\left(T,\nu \right) = {L}_{\text{U(1)}}\ensuremath{\times{}}\left(1-\frac{G}{{(2\pi \nu )}^{2}}\right)\theta \left(\nu -{\nu}^{\ast}\right)\, \end{equation}$$$$and specifically for SU(2) CMB one has $${T}_{\text{c}} = {T}_{0} = 2.725$$,K. [ 5,7 ] In Figure 2 the temperature dependence of spectral black‐body radiance in the range from $$0\text{--}30$$ K is shown for five different frequencies in case of SU(2) CMB and the conventional U(1) theory. Notice the gap at the lowest frequency of 15 GHz and the shifted linear dependence (pseudo Rayleigh– Jeans) to the right of this gap due to screening in SU(2) CMB .…”

“…The Yang– Mills scale (or critical temperature $${T}_{\text{c}}$$ for the deconfining–preconfining transition [ 6 ] ) of this model is fixed by CMB radio‐frequency observations. [ 5,7 ]…”