  A new relativity theory, or more concretely an extended relativity theory,
actively developed by one of the authors incorporated 3 basic concepts. They
are the old idea of Chew about bootstrapping, Nottale's scale relativity, and
enlargement of the conventional time-space by inclusion of noncommutative
Clifford manifolds where all p-branes are treated on equal footing. The latter
allowed one to write a master action functional. The resulting functional
equation is simplified and applied to the p-loop oscillator. Its respective
solution is a generalization of the conventional point oscillator. In addition
, it exhibits some novel features: an emergence of two explicit scales
delineating the asymptotic regimes (Planck scale region and a smooth region of
a conventional point oscillator). In the most interesting Planck scale regime,
the solution reproduces in an elementary fashion the basic relations of string
theory (including string tension quantization). In addition, it is shown that
comparing the massive (super) string degeneracy with the p-loop degeneracy one
is arriving at the proportionality between the Shannon entropy of a p-loop
oscillator in D-dimensional space and the Bekenstein-Hawking entropy of the
black hole of a size comparable with a string scale.
