wrote:
Publish your replacement for the Schwarzchild metric
and then it can be tested.


Let's have some fun and learn something while we are doing it.

I propose the following gedanken experiment as a way to make the
concept of Discrete Scale Relativity more clearcut and readily
understandable.

Assume, for the sake of argument, that nature is a discrete fractal
hierarchy, and further that the number of cosmological scales is
infinite, and the cosmological scales are exactly self-similar to each
other. Lengths and times on neighboring scales differ by a factor of
5.2 x 10^17 and masses differ by a factor of 1.7 x 10^56. We ask
imaginary observers from the atomic and stellar scales to compare their
"universes".

The two observers are amazed to find that the other's description of
the fundamental properties of their observable universes are virtually
identical to their own, in spite of their separate studies which
appeared to indicate that the other's observable universe *should* look
radically different. They both find their scales dominated by the same
types of objects and the equations that describe these objects are,
except for arbitrary differences in notation and conventions, are also
virtually identical. They both measure their G values as = 6.67 x 10^-8
cgs.

Then the stellar scale observer asks the atomic scale observer to show
him his centimeter. The atomic scale observer holds up his centimeter,
and the stellar scale observer says, "That is NOT a centimeter; that is
1cm/5.2 x 10^17. When the atomic scale observer angrily asks to see
the stellar scale observer's cm, he laughs and says, "You are way off;
that thing is 5.2 x 10^17 cm long.

After much back and forth, the light dawns and they say in unison, "So
there are an infinite number of "centimeters" in nature, one for each
cosmological scale". Each has an equal claim to being "the centimeter".
The same is true for seconds and grams. That is Discrete Scale
Relativity in a nutshell.

Robert L. Oldershaw

"The next great awakening of human intellect may well produce a method
of understanding the qualitative content of equations." Richard Feynman