  In this short note, using notions from $p$-Adic QFT and $p$-branes, we derive
the transfinite M $theoretical$ corrections $(\alpha_M)^{-1} = 100 + 61 \phi$
to El Naschie's inverse fine structure constant value $(\alpha_{HS})^{-1}= 100
+ 60\phi$ which was based on a transfinite Heterotic string theory ormalism .
$\phi$ is the Golden Mean $0.6180339...$. Our results are consistent with
recent Astrophysical observations of he Boomerang and Maxima experiments, with
previous results based on the four dimensional gravitational conformal anomaly
calculations and with an enhanced hierarchy of the number of lines on Del Pezzo
surfaces.
