Subject: Re: Pulsor Space-Time Synopsis d:\pulsor\pulsor01.htm Date: Tue, 12 May 1998 20:03:45 -0500 From: vead@uconect.net To: vead@uconect.net This is the dejanews "emailable" version. ------------------------------------------------------------------------------ This message was forwarded to you from Deja News by vead@uconect.net. Deja News, the discussion network, offers free web-based access to more than 50,000 high-quality discussion forums. Come and visit us on the web at http://www.dejanews.com/=zzz_maf/ ------------------------------------------------------------------------------ (beginning of original message) 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 ========================================================================= (end of original message) ------------------------------------------------------------------------------ You can view the original message at http://www.dejanews.com/=zzz_maf/getdoc.xp?AN=138680713 or search http://www.dejanews.com/=zzz_maf/ for related messages. We hope to see you soon at Deja News, the discussion network.