Hi:
The point you make is subtle but important. Mathematics
does not make the universe, we use mathematics to describe it...and when
we extrapolate, many times we get interesting surprises, along with the
lead balloons of course. The relativity model mathematically works, well
OK (if you know what 0 and infinite values can do to the sanity of
mathematicians) from 0-infinity. Except that the universe happily is not
that way! Einstein understood well that the universe could not have
infinite mass, nor the photon be massless, though an Einsteinian universe
is eternal, and in that sense infinite (my 7-D concept). An Atomic bomb
wouldn't be much of a bomb if photons of energy were massless! Life
couldn't exist either. Energy does work, and to do work it must be massed.
Massed energy not only does work, it makes the
task of the theorist very interesting, for if photons have mass (and they
do) and they travel at the speed of light (which they do), they represent
an almost (there we go again!) infinitely massive matrix and reflect in
infinitesimal form the dynamics and topological characteristics of the
entire cosmos, 10 to the 53 KG. From our reference frame we can tell
photons form an encompassing matrix because of "action at a distance".
The finite mass of the universe is as easy as
E=mc squared. Since the speed of light is finite, neither the total mass
nor the total energy of the universe can be infinite numbers...for (here
we go again) mathematical reasons.
We live in a cosmos neatly balanced between the
finite, (10 to the 53 KG, 10 to the minus 33 Cm and 10 to the 40th Cm plus
radius) and infinite, having eternal duration.
What really goes on in this here universe
benefits or destroys us all, and really there isn't much we can do to
change the situation, but it sure is fun observing carefully, playing the
detective, and trying to understand, not only the universe, but of course
some possible reasons for our own existence! Regards, Sam Cox
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