RC Macaulay writes (regarding pumped vortex motion),
"There appears to be reset mechanisms built into
everything.. creating chaos or harmony"
When you think about this chaos --> harmony appearance,
which at some level is a shared value judgement or a
"perception" of humans trying to understand a seemingly a
disorganized system (chaotic vortex), the "reset" mechanisms
are actually not a huge mystery, as they are invariably the
lower order power laws.
Frank mentioned the higher order derivatives of distance
with respect to time. What appears as "chaotic" to our
eyes - I would guess that the term "chaos" usually begins
with "jerk" or at least "acceleration" on two different
vectors (which is not exactly the same as jerk).
dL/dT ......VELOCITY .......moving scenery
- no problem
d2L/dT2 ....ACCELERATION ...being pushed back in ones
seat as the plane takes off
- no problem
d3L/dt3 ....JERK............Mmm..more difficult - being
hit over the head with a
bottle perhaps?
d4L/dT4 ....JOUNCE..........I have no feeling whatsoever
for this or high derivatives.
Consequently, the "reset" mechanism for "jerk" is merely a
drop down into the lower order of "acceleration" from which
our human sensory perception is pretty good at identifying
(goes back in evolution perhaps, such as aiming a spear at
an escaping bar-be-que dinner).
Which brings up an interesting question in regard to finding
free energy in mechanical motion, like a vortex. I am
assming that there is some there (free energy), but that it
is very difficult to reproduce, being a fairly precise
combination of thermo-electro-chemical and mechanicam
parameters. But just trying to maximize the mechanical
parameters first seems like the correct way to proceed. This
seems to be what Richard is doing.
Which brings up the next issue. Lets say that "cavitation" w
ithin a swirling vortex is getting pretty close to
mechanical "jerk" . Can we mechanically go beyond "jerk,"
where we get the benefit of yet an even higher order power
law? IOW the $64 question: is it possible to move from jerk
to jounce mechanically or does that jump require the
electro-chemical addition to the vortex parameters?
Maybe Richard will discover that...
" In Texas, a country beerjoint cannot stay in business
without one good fight per week to release the tension."
Richard
...only one per week? Texas has definitley started to
gentrify... ;-)
Jones
Speaking of trying to visualize rotation in four dimensions,
here is a semi-serious fractal attempt:
http://home.att.net/~Fractals_2/FotD_00-10-15.html
I call it semi-serious, because there is no doubt that the
author of this chose the fractal (or at least the
coloration), even if the math behind it does express
rotation in four dimension, because of the vague resemblence
to either a scream or related utterance or horror... perhaps
that famous painting Edward Munch expressing the existential
fright of a world at war... not unlike my feelings going
into this election.
Which is to say...its still not too late for that previously
forecast "October surprise"... or stated another way, if I
had tickets to a football game at Shea or some such high
profile venue on Sunday (Foxboro would be making a statement
also, no?), I think it would be prudent to see what a
scalper would offer for them...
