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.
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;
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, able to be
considered as a "moment",
a "Stitch in Time".
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.
(or any that seek to encompass quantum reality..dcm
11-96)
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.
I 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?
[Or is it the Lorenz Attractor?
-dcm 5-97]
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@www.uconect.net)
...February 9, 1996
...Niantic, CT
Base image from NCSA Computational Relativity Group
![[ Base image from NCSA Computational Relativity Group<]](ncsa1.gif)
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(C)Copyright 1996, 1997 David C. Manchester
dredeyedick@yahoo.com
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