Interpretation of black body radiation as a decay process

The treatment of black body radiation as a decay process with the wavelength $\left( \lambda \right) $ as the time marker, leads to an apportioning function $\left( D_{\lambda }\right) $ that distributes the total thermodynamic Stefan-Boltzmann emitted intensity $\left( I\right) $ over the entire wavelength range (Clarence A Gall, BAPS, March Meeting 2007, Denver, CO). The resulting distribution function $\left( I_{\lambda }=ID_{\lambda }=\sigma \frac{T^{6}}{b^{2}}\lambda e^{-\frac{T}{b}\lambda }\right) $ gives the Stefan-Boltzmann law on integration over the same interval. Differentiation of $I_{\lambda }$ produces Wien's displacement law as the condition for the wavelength at maximum emitted intensity $\left( \lambda _{m}\right) $. Substitution of $\lambda _{m}$ in $I_{\lambda }$ yields the maximum emitted intensity $\left( I_{\lambda _{m}}\right) $ as being proportional to $T\,^{5}$. \ Hence $\ I_{\lambda }$ satisfies exactly the three known empirical laws of black body radiation and fulfils Einstein's hope for a solution of the radiation problem without the use of light quanta. Finally the replacement of $\frac{T}{b}$ \ with a single constant $G$ \ simplifies the distribution function so that \ $I_{\lambda }=\sigma _{G}G^{6}\lambda e^{-G\lambda }$ \ where \ $\sigma _{G}=b^{4}\sigma $. Consequently $\ G$ \ defines a new temperature scale with units of reciprocal wavelength that unifies the thermodynamic and colour scales.