= Matching of a white-dwarf envelope to a degenerate core
{title2=$\rho_b=(\mathcal RT_c/K_{\rm NR})^{3/2},\quad L/M\propto T_c^{7/2}$}
Continuity of <temperature>, <pressure> and <mass density> matches the <ideal gas> envelope <pressure> $\mathcal R\rho_bT_c$ to the nonrelativistic <electron degeneracy pressure> $K_{\rm NR}\rho_b^{5/3}$. Substituting this base <mass density> into the <radiative-zero white-dwarf envelope> law gives the luminosity-temperature scaling behind <Mestel's cooling law>. The matched point is a transition approximation; the cold degeneracy law does not represent finite-temperature corrections there exactly.
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