Subject: Re: Pulsor Boundary Region
Date: Tue, 12 May 1998 20:12:53 -0500
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Subject: Pulsor Boundary Region
From: Vead@q.continuum.net (D. Manchester)
Date: 1996/02/23
Newsgroups: sci.fractals
> Summary: Pulsor Boundary Region related to Mandlebrot Set.
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>Date: Fri, 23 Feb 1996 17:55:58 -0500
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>From: Vead@q.continuum.net (D. Manchester (dcm))
>Subject: Pulsor Boundary Region
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>From: Vead@q.continuum.net (D. Manchester (dcm))
>Subject: Freeze-Spindizzy!
>Cc: 70651.472@compuserve.com, gkillian@q.continuum.net
>
> Summary: Pulsor Boundary Region related to Mandlebrot Set.
-=-=-=-=-=-=-=-=-=-=-=-=-=-
I plan to make books and inventions out of this language and
these Ideas, so I have included a copyright notice right here:
(C) Copyright 1996 By David C. Manchester
ALL RIGHTS RESERVED WORLDWIDE.
Authors Notice: Permission is granted to USENET to repost
this document, or an edited version, when, if, and as they
feel appropriate, to serve their members requests.
Notwithstanding the above permission, the Author reserves and retains
All rights to reproduction, transmission, distribution and all other
Rights Worldwide, to include patents on and/or inventions derivative
of the application of processes, techniques, and technologies based
on the theoretical ideas discussed in this message irrespective of
the use of the pulsor metaphor in any such derivation or technical
development. -D. Manchester, MADRIGAL Development Company, 23 Feb,1996
-=-=-=-=-=-=-=-=-=-=-=-=-=-
Boundary Regions in the Pulsor
or
"Up against the wall, Spindizzy. Freeze! Now spread'em."
By Vead@q.continuum.net
(C)Copyright 1996 David C. Manchester
-=-=-=-=-=-=-=-=-=-=-=-=-=-
"Not only is the Universe queerer than we imagine,
it is queerer than we *can* imagine." - J.B.S. Haldane
"A truly great scientist never knows exactly what
he is doing." - A.N. Whitehead
"eep ! " - Bart Simpson
A pulsor is a stitch in time.
Nature is a Cantor Dust of Strange regularity. Euler's identity
is a recipe for the fractal folding of Space-Time. Plank's constant
reveals an index of this fractal folding with respect to our expanding
positively curved Universe, and the probability function describing
the Lyapunov-Euler boundary region with our universe's negatively
curved (tachyon) counterpart at the center of the pulsor.
Leptons, Hadrons, and quarks exists only in the outmost region
of a Pulsor, and we call them (leptons and hadrons) Tardyons.
The Tachyon universe which is co-incident with our positively curved
cosmos has a negative curvature.
Our positively curved cosmos exists in the phase space of the outermost
portion of a pulsor.
The boundary region separating the two is a region of convergence and
divergence (of rates of convergence-divergence) , of stretching and
folding, of inflation and collapse.
The Mandlebrot Set is the reflection of this in our positively curved
world. It is the evidence of the fail-safe, informational integrity
built into our number system as well as the pulsing cycle of
discontinuity we see from our quantum experiments. The Mandlebrot
Set is an example of GOD's phase-lock on Thermodynamics for our
particular Universe through Plank's Constant.
A digression: I used the word "co-incident" above. I do not think
as it was used that it would be the same as quantum superposition (qs).
It is my current (incomplete! :) ) understanding that qs occurs
in the same phase space, and the outer part of a pulsor is
a phase space with it's own peculiar rules...those of current QED/QCD,
Special and General Relativity... wrt the rules of phase-space of negative
curvature. (I mean, I don't _think_ I am talking about quantum
superposition here, although that may apply).
So "co-incident" as used here means an inter-leaving of phase-spaces
of positive and negative curvature, with tardyons extending through
the positive, and tachyons extending through ("instending through?
...extension/instension? ugh. that sounds horrible!) the negative.
The pattern of that interleaving in Pulsor meta-phase-space is
either the Mandlebrot Set, or deeply, directly related to it.
Our particular universe in this picture is the one where Plank's
constant is what we find it to be here, and it points to a
probability function that is discontinuous at those points of
the meta-phase-space at which the density of the bands of
convergence/divergence between negative and positive curvature
approaches infinity.
It's like the Mandlebrot set: An infinitely thin line (boundary)
separating two regions, one region "inside" i.e. convergent (or
oscillating between determinate, sometimes stable values, our cosmos);
and divergence, taking off to infinity at increasingly accellerating
rates (moving outward from the "more convergent" bands/areas).
If GOD used e**ipi+1=0, Euler's equation, in creating the Universe,
(and he seems to have, since we can use it ties our math together,
the same math we can use to describe nature), then it seems he must
also have chosen Plank's Constant for this particular Here/Now. This
thought has technological implications, and applications, and I am hereby
reserving all rights to any inventions based on this, and all other
ideas presented in this message. (a man's got to eat...dcm)
To continue,
From the Fractal FAQ:
"Lyapunov exponents measure the _rate_of_ divergence_ (italics mine)
of _nearby_ orbits."
If We consider the Universe to be composed of Tardyons and Tachyons:
(using plainer words)
If We think of the world as two families of bits, one only moving
slower than the speed of light, and one moving faster than the speed
of light, then the family that moves slower is what scientists call
"Tardyons". The ones that move faster than light, "Tachyons", are
very subtly interweaved amongst their slower Tardyon brethren-bits.
They play a never-ending, transfinite game of tag, yet never touch,
passing mass and energy (content) through time and space (channel),
over the fence of the Euler-Lyapunov imaginary, transcendental
boundary condition in an eternal byplay of IMAGE and MESSAGE,
event and image-of-event. This interwoven spindizzy is what the
Pulsor model describes.
From the Fractal FAQ: "Roughly speaking the (maximal) Lyapunov
exponent is the time-average _logarithmic_growth_rate_ (my italics-dcm)
of the distance between two nearby orbits."
Well, what does the Pulsor model seek to address? Continuity and
discontinuity in Space-Time as Plank, Einstein, and Bohr addressed
it in Mass-Energy through Relativity and Quantum theory. But Einstein
struggled with a grand unification that would include Gravity
until he passed away, still convinced that GOD does not play dice.
A big problem was the geometries of space and time and their
supposed interchangeability: this Space leads to black and white
holes; this Time leads to multiple world lines, parallel worlds,
and paradox. Not a manageable view at all for the "conservative
revolutionaries" of physics. Not the aesthetic balance sought
by Einstein.
Pulsors give us a way of looking at Relativity and Quantum theory
which would include the unified quantum gravity Einstein so
tirelessly sought, and which avoids the problems of paradox in
an Absolute with a capital "A", and fail-safe way. GOD does not
build shoddy operating systems. They do not crash. There are no
"memory management" problems. I believe that if we are thoughts
in the mind of the Almighty, an absolute fail-safe like the Mandlebrot
set is a necessity, or we'd have driven him nuts by now.(! :) )
Observe that a cycle is a kind of "orbit", the traversal
of a circuit. A communication is the sending of a message encrypted
in signals through a channel to a receiver. To decode the message
the receiver gets, the receiver must decrypt signals emerging from
the channel back into the message.
There is a mathematical and topological assymettry about the Pulsor,
an Absolutely determined fractal, strange breaking of the initial
symmetry of negative space into positive; yet a break which leaves
events in the positively curved world open-ended. Determinism,
and Free-Will, interleaved in a most subtle way. As Baba Ram-Das
(Richard Alpbert) once said, "We can't put it together. It IS together."
One final note, for those who have read my message "Pulsor Rigor
of Epistemology: Apologia & Guidelines". If we were to look for
that single, pristine equation, would it not be Euler's equation?
Please forgive the somewhat disorderly presentation of thoughts
here, and in the release of these messages. I pray that the
overall message has not been lost or distorted in transmission.
Bear with me, because I'm still trying to sort these things out
myself. It behooves me however to get these ideas out so they
can stand or fall in the cold light of critical scrutiny. Otherwise
I might still be maundering around with it in another 22 years,
and it would be nice to branch out to other interests. Thanks
for Your attention, patience and understanding.
-dcm, 2-23-96
=========================================================================
"Congress shall make no law respecting an establishment of religion, or
prohibiting the free exercise thereof; or abridging the freedom of speech,
or of the press; or the right of the people peaceably to assemble, and to
petition the Government for a redress of grievances."- Amendment I to the
Constitution of the United States.
In God We Trust D.Manchester Vead@q.continuum.net
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