Subject: Re: Pulsor Space-Time Synopsis d:\pulsor\pulsor01.htm
Date: Tue, 12 May 1998 20:03:45 -0500
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Subject: Pulsor Space-Time Synopsis
From: Vead@q.continuum.net (D. Manchester)
Date: 1996/02/10
Newsgroups: sci.fractals
Hi. I notice that (like me) many in this newsgroup are involved in
fractal computations. Forgive me if this posting is misdirected, but
on the chance this is a place for a wierd perspective on the Mandlebrot
set, I have advanced some ideas about it in the last part. Please
contribute any thoughts regarding the strange attractor discussion.
Thanks, Dave M.
........................................................................
Synopsis of Pulsor Model
for Space-Time
Events
(C)Copyright 1996 David C. Manchester
The purpose of this paper is to briefly sketch an outline for
a new quantum theory of Space-Time based on a modified version
of Roger Penrose's Twistor and Spinor work.
CONTENTS: Preface
1. The Basic Idea
2. A Simple Model
3. Image and Message
4. A Reason for Chaos.
Preface
For the last 22 years I have thought long and hard about quantum
physics, various gauge theories, chromodynamics, information and
communication theories. My reason for bringing forth my thoughts
here are twofold. First, I am aware of my limits as a mathemetician;
and second, I would share these ideas with those who may be better
equipped to refine them, validate or disprove them.
Please forgive any errors on my part. In the words of Valentine
Michael Smith, "I am only an Egg."
1. The Basic Idea
The Basic Idea I have is this: Space-Time is a quantised phenomena.
Each quantum of Space-Time serves as a channel through which Mass-Energy
may flow. Each moment inflates, transpires, and collapses in the
phase space described here.
The phase space for these events is a mutually orthogonal, ortho-
normalised Hilbert Space. All vectors are taken to be unit-vectors.
2. A Simple Model
The model for these events I have chosen is a somewhat modified
version of a Penrose Twistor. The difference from a classical
Twistor is that it Pulses. I shall call it a Pulsor.
A Pulsor has 3 nested portions. (as I currently think of it)
When all 3 portions are present, we have a Space-Time event, like
a quark.
When only the inner 2 portions of the Pulsor are present, Space-Time
is in one of two states of flux: Inbound collapse, or Outbound
inflation.
When only the inmost portion of the Pulsor is present, Space-Time
is absent, and only a "shadow" trace of the immediately adjacent
fully inflated Pulsor is reflected there.
A complete cycle (starting with a fully inflated Pulsor) defines
a quantum of Space-Time, alternately able to be considered as a
"moment", or a "Stitch in Time" if You will.
Thus, in this model a quantum event could be described as:
EVENT--->Inbound Collapse--->IMAGE--->Outbound Inflation--->EVENT
...and so on.
3. Image and Message
One particularly intriguing (to me) aspect of this model is that
it reduces Space and Time to the roles of Media through which Mass
and Energy may flow. And it permits the tools of Information Theory
to be applied to the analysis of quantum phenomena.
In this model information is conserved. For the Physicist it may
offer a way to balance the trend of Space-Time toward maximum entropy
against an equivalent amount of negative entropy within the inmost
portion of the Pulsor, which in this model is not subject to the
one-way arrow of Time, since it exists (a misnomer) beneath the
outermost portions of the Pulsor, a sort of "sub-Space-Time".
4. A Reason for Chaos
About 400 years ago Leonard Euler interrelated our five most important
mathematical constants in his famous equation
(i*pi)
e = -1.
Normally we take this a just a convenient way to interpret our number
system.
But what if there is more to it than that? Why is this the way it is?
I think that Euler's equation says something quite profound about
number theory, and the limits of mathematical epistemology.
I contend that these 5 constants (e, pi, 1, 0, -1, and i) behave as
strange attractors in defining any possible mathematical system.
There is one other hypothesis I would make in this regard. Some
observers have looked at the Mandlebrot Set and come away with the
impression "Who ordered that?"
I speculate that it may well be that there is a relationship between
Euler's equation and the particular shape of the Mandlebrot set, even
though I must leave it at the moment to others better versed in the
mathematical techniques necessary to prove it. I must therefore
put my speculation in the form of a final question:
Could it be that the Mandlebrot Set is a sort of "error-correction"
mechanism that uniquely ties together our Universe across the Pulsor
discontinuities?
Is the Mandlebrot Set the Strange Attractor for Our particular
Space-Time? If so, does it also serve to unify all possible
World-lines across the entire surface of existence?
As a scientist, as a human, I don't know. I have more questions
than answers. Perhaps I always will.
AFTERWORD
I wrote this and sent it out to get feedback and constructive criticism.
Thank You in Advance for any insights You want to offer.
...David C. Manchester (Vead@q.continuum.net)
...February 9, 1996
...Niantic, CT
=========================================================================
"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.
D.Manchester Vead@q.continuum.net
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