Comment on the New Scaling Hypothesis of Dao et al. at Asymptotic Energies

I use the energy-momentum—conservation sum rules to investigate the consequences of the assumption that the "New Scaling Hypothesis" of Dao et al., is valid at asymptotic energies for which $p_L\gg p_T,m$. Assuming that Koba-Nielsen-Olesen scaling, limited $p_T$, and the slow rise in multiplicity with energy also remain valid asymptotically, I obtain a scaling relation for the invariant inclusive distribution which is inconsistent with ordinary Feynman scaling, but consistent with the violation of Feynman scaling at $2p_L{s}^{-\frac{1}{2}}=0\mathrm{}$ recently found.