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From: Osher Doctorow on 13 Aug 2010 08:04
From Osher Doctorow

In literature on Resonances, one often reads about increasing Energy
or other variables which, although theoretically unbounded, are "in
practice usually limited by some factors". Yet this manner of
thinking or stating is somewhat similar to saying that "While the
water is dangerous, you usually do not fall into the water." If a
variable increases, then the fact that it "usually" does not increase
very much is more emotionally than physically "reassuring".

Black holes are certainly "extreme", and we usually do not fall into
black holes, but in fact we could conjecture or hypothesize black
holes EVEN WITHOUT RELATIVITY by examining meteorology and the Earth,
which have quite a few "dangerous" and "rarely reached" levels of
variables including:

1) Tropical Cyclone(s) (see Wikipedia article online by that name)
2) Tornado (see Wikipedia similarly)
3) Earthquakes.

Under Tornadoes, we also have Land Spouts, Multiple Vortex Tornadoes,
Waterspouts, each of which has an online article by Wikipedia and
others.

How "extreme" are Tornadoes? An E5 level Tornado can lift
skyscraper buildings off their foundations. Curiously, most of them
are associated with the USA, which is arguably a source of the myth
that things are usually not dangerous!

Earthquakes, which in turn can be associated with Tsunamis, are
"obviously" in the dangerous category and in the "enormous
destruction" and "enormous power" category - sometimes, but too
often. Nevertheless, because they are "meteorological" or
"geophysical", they conveniently get swept under the rug so to speak
in enumerating physical "comfortably bounded" objects.

To postulate a Black Hole based on the above real extremes may seem
implausible - only if the idea of postulating that the Universe
outside the Earth has similarities to the Earth in some respects. In
fact, in speaking of the "Big Bang", we already postulate a more
generalized category that includes Black Holes under the name
"Singularity".

But surely SOMETHING excludes "singularities"? Not even theoretical
mathematics excludes singularities - even among the simplest types
such as:

4) Complex Variables (poles)
5) Real Variables (division by 0)
6) Algebra (square roots of negatives among reals, division by 0,
etc.).

Ultimately, what appears to enable events and objects of the above
type is:

7) Unbounded objects or sets/events or variables (A ' in the context
of A being bounded and its complement A ' unbounded in an unbounded
Universe, in the notation of the previous posts).

Osher Doctorow
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