From: Subject: Paradise and the Topology of Space Date: Wed, 10 Jan 2007 08:11:10 +0100 MIME-Version: 1.0 Content-Type: text/html; charset="Windows-1252" Content-Transfer-Encoding: quoted-printable Content-Location: http://www.urantiabook.org/archive/science/calass2.htm X-MimeOLE: Produced By Microsoft MimeOLE V6.00.2900.3028 Paradise and the Topology of Space

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Paradise and the Topology of Space:
A Theory of = Ultimate=20 Matter

by Philip G. Calabrese, Ph.D.

To start off today, some of you may remember the last Scientific = Symposium in=20 Nashville when I concluded that there is no way for human resurrection = to occur=20 on Jerusem "on the third day after natural death" because the guardian = seraphim,=20 who carries the human soul, cannot travel there in less than twenty = years.=20 The Urantia Book insists that there is no way for a seraphim to = traverse=20 space any faster than three times the speed of light (*260). Since the = nearest=20 star is 4.3 light years away and Jerusem must be many stars away, = the=20 angel can't get there in days at her speed. The distance from earth to = Jerusem=20 can't be nine light days; it is more like sixty light years away.

Now at the first Scientific Symposium in Nashville I went so far as = to=20 suggest that some nameless Melchizedek might have been called on the = carpet for=20 using the expression "on the third day after natural death," which we = would take=20 literally. Well, today I am going to recant my Urantia Book = apostasy;=20 I've thought of a way for the guardian angel to get to Jerusem in less = than=20 three days: The angel simply doesn't travel there under her own power! = She must=20 be translated to Jerusem by some unrevealed universe or Paradise = technique. A=20 careful reading of The Urantia Book will reveal that in every = case where=20 this trip by the seraphim from Urantia to Jerusem is described, the = author never=20 says that the angel gets there by normal seraphic travel or transport. = Instead,=20 some vague expression like "proceeds to Jerusem" is used to denote the = mode of=20 transportation of the angel. I hope this explanation resolves the = anomaly and=20 points to an unrevealed seraphic phenomenon associated with human death. = On,=20 then, to the main part of my presentation today.

So now let us reflect on the cosmos--the Totality of Reality. Each = one of us,=20 no matter what our status in life, has been afforded a personal view of = the=20 cosmos, not only introspectively in the attempted contemplation of the=20 indwelling spirit of the Universal Father, but also externally as we = each gaze=20 up at the stars in the night sky. This continuous view of the cosmos = stretches=20 trillions of miles in all directions, and spans millions of years into = the past,=20 and allows projections millions of years into the future. That the = universe=20 should afford each one of us a personal view of the whole cosmos, no = matter how=20 supposedly small our doings here on earth, demonstrates how God is = concerned=20 with each of us as individuals--not just in the aggregate.

In the final analysis, INFINITY IS, and that is all there is = to say=20 about it. But, of course, we're going to try to say something else about = it,=20 anyway! But before we do, let us pause in awe for a moment to experience = in our=20 personality consciousness, the infinite ONENESS that we call God, = perhaps to=20 feel the loving smile of the one that we may call Father.

Total Reality is Unqualified Infinity. Total reality embraces = unbounded=20 infinity as well as the Infinitude, and also these two unified as the = whole, the=20 Infinite One. Before attempts at understanding, the human mind must = divide=20 Reality Totality into an infinitude (as contrasted from a single unity), = and an=20 unlimited infinity (as contrasted from the bounded finite), and then = somehow=20 synthesize these two conceptions into a unified whole.

In the first absolute transaction, the Infinite One becomes the = personal=20 Father of the Eternal Mother-Son (the original spirit person) and also = the=20 eternal source of Paradise (the original non-spirit, nonpersonal = manifestation).=20 All conjoint action by the Father and the Mother-Son is consummated by = the=20 Mind-God, the Conjoint Actor, the Third Person of the Infinite Trinity. = From=20 Paradise emerges space, which, like the concept of the master universe, = is a=20 transcendental reality existing somehow between the infinite and = the=20 finite. The fifth absolute is the Unqualified Absolute, which pervades = all space=20 but is not limited by space. The Deity Absolute and Universal Absolute = complete=20 the seven absolutes of infinity. These seven absolutes are functionally = unified=20 in the fourteen triunities, each a functional association of the Father = with two=20 of the other six absolutes.

It is suggested that we may helpfully conceive the total cosmos as an = almost=20 limitless ellipse with one absolute focus located in Paradise. What does = The=20 Urantia Book say about these matters?

On Paradise:

On the Unqualified Absolute:

On Space:

On Ultimate Matter and Motion:

Now a number of questions arise:

[By the way, the last two provocative questions and the above = observation=20 about sunlight were contributed by Dick Bain in a personal letter.]

Here's how far I've gotten on these problems.

Topology is that branch of mathematics that deals with those aspects = of=20 geometry that are invariant under stretching or contracting. For = instance, a=20 doughnut and a cup with a handle are topologically equivalent because = one can be=20 transformed into the other by a continuous mapping. But a sphere and a = doughnut=20 are not so equivalent. Topology also attempts to model the "closeness" = concept.=20 Formally, a topological space (a topology) consists of a universe U of = points=20 together with a special collection of subsets of U called open = sets. The=20 collection of open sets has the property that the intersection of any = two open=20 sets is also an open set, and the union of any subcollection of = open=20 sets, whatever, is also an open set. A neighborhood of a point is = any=20 subset of the universe that includes an open set that contains the given = point.=20 For example, the universe of points in the euclidean plane together with = the=20 collection of the interiors of all circles (and their unions) form a = topological=20 space. Another interesting example of a topology is called the co-finite = topology.

Suppose we start out with a euclidean plane of points and adjoin to = it=20 certain points at infinity. We can imagine each straight line extending = out to=20 infinity in both directions ending in two points at infinity. A line = parallel to=20 the first line ends in two different points at infinity; and a line = intersecting=20 the first two lines ends in still another pair of points at infinity. = The set P=20 of all points at infinity for all the lines in the plane can be = considered to be=20 a "circle" at infinity. In euclidean solid geometry we would get a = "surface" P=20 of points at infinity. A topological neighborhood of infinity (i.e., a=20 neighborhood of the surface of infinite points) is any subset of the = universe=20 whose complement is bounded, i.e., contained, in some finite circle. = Thus a=20 neighborhood of infinity is any subset of the universe that includes = everything=20 outside some finite circle.

Since Paradise is the geographic center of infinity, Paradise must be = a=20 neighborhood of infinity. It somehow must contain infinity. After all, = the zone=20 of infinity does exist at the center of nether Paradise. The co-finite = topology,=20 applied to solid euclidean space rather than the plane, seems just right = for=20 modeling a cosmos whose origin is at infinity instead of at some finite = point in=20 space. Paradise must be the center of what we commonly imagine as what's = "out=20 there" in the infinite reaches of outer space, and even beyond, out to = the very=20 edge of our mental concept of the master universe.

Now Paradise is not only "out there"; Paradise is also at the focus = of space,=20 the focus of those midspace quiescent zones of space intervening between = the=20 relatively moving zones, as for example, in the atom, electron, and = ultimaton.=20 Thus somehow Paradise is also located at the center of each ultimaton. = Finally,=20 Paradise is also located at the center of the grand universe, at the = center of=20 the superuniverses as they whirl around. How can all this be? The answer = is that=20 the topology of space must allow Paradise proximity in all these ways at = once.=20 Note, for instance, that peripheral Paradise can be approached by a = sequence of=20 midspace points.

Space must have a non-spatial hole at the center of each ultimaton = where=20 nether Paradise acts to hold the ultimaton together as an individual = particle.=20 The nuclear region of each ultimaton must be located in nether Paradise, = where=20 there is the "central focalization of the space presence of the = Unqualified=20 Absolute." That must be why space seems to originate just below nether = Paradise.=20 In addition, the macroscopic grand universe must have a unique space = intrusion=20 where, again, Paradise is located. Space topology must allow this = proximity of=20 Paradise to the central universe, which exists in space, while Paradise = itself=20 is not in space. The construction of ultimatons is the work of the = Paradise=20 primary and secondary Transcendental Force Organizers, and the design of = the=20 master universe is the work of the Transcendental Architects of the = Master=20 Universe.

All this leads me to discard our contemporary notion of space as a = uniform=20 void. Space is neither uniform nor empty. Uniformity of space is not = really=20 necessary for our physical theories. All we need is the revolutionary = motions of=20 matter in space about a center. But the center itself need not be = conceived as=20 being in space. Space must be very "holey," spelled with an "e." It must = have a=20 big hole in the macroscopic center of the grand universe, little holes = at the=20 center of each ultimaton, and finally an inconceivable hole at the outer = infinity center of the master universe. Matter has a spirit nucleus!

Now, what is an ultimaton made of, and what does it look like? An = ultimaton=20 must be a relatively thin, rotating, spherical shell of space with a = non-spatial=20 nucleus. The Paradise nucleus binds the shell together preventing it = from flying=20 apart on tangents toward outer infinity. An electron must consist of one = hundred=20 concentrically arranged ultimatons with a common non-spatial = nucleus.

These concentric spherical shells of space may rotate with different = speeds=20 and axes of rotation, thus giving rise to angular momenta with as many = as 100=20 different axes. The result is an angular momentum vector with components = in all=20 three conventional spatial dimensions, just as appears in contemporary = quantum=20 mechanics (although contemporary science hardly gives physical = interpretation to=20 this momentum vector). Huddling of ultimatons means that the rotating = shells of=20 space cluster by shrinking or expanding toward one another.

An ultimaton may drop into a lower rotational energy state by = emitting some=20 rotating space (mass) in the form of another ultimaton. In this case the = change=20 in the mass of rotating space of the ultimaton equals the change in its = energy=20 divided by the square of the speed of light. On the other hand, capture = of one=20 rotating particle (ultimaton) of moving space by another ultimaton would = increase its energy and its rotational radius or speed and so its mass. = Similar=20 transactions can be envisioned when 100 ultimatons are concentrically = arranged=20 in an electron. When a particle is formed and emitted by another = particle,=20 vibrations are initiated in the pre-ultimatonic content of space, and = these=20 secondary waves are apparently interpreted by contemporary quantum = physicists as=20 the particle itself. Hence we have the confusing contemporary notion of = a=20 "wavicle"--a hypothetical hybrid particle-wave duality. However, = according to=20 The Urantia Book, these waves have a wave length 860 times the = diameter=20 of the emitting particle.

The generation of so-called positive and negative electronic charge = might=20 also be explained in terms of the spin of the 100 intraelectronic = ultimatons.=20 For instance, if most or all of the 100 ultimatonic shells are rotating = in the=20 same direction, then two such electrons might repulse one another. On = the other=20 hand, two electrons (one a positron) with opposite revolutionary = directions=20 might attract each other and cancel some of each other's rotational = mass,=20 emitting some energy in the process. The construction of electrons, = protons and=20 atoms from the ultimatons is the work of the power centers (*473).

Although these explanations are still qualitative, it does seem to me = that=20 most of the strange phenomena of present-day quantum mechanics are = potentially=20 explainable in terms of this model of sub-electron matter as rotating = spherical=20 shells of space. I am just now working out some of the quantitative = implications=20 of this theory, and the preliminary results are very encouraging, but = time=20 doesn't permit me to get very far into that here today. In the near = future, I=20 plan to submit a more technical paper for publication that will deal = with these=20 quantitative aspects of the theory. This paper will redefine mass as = rotating=20 space and will consider the conservation of the kinetic and potential = energy and=20 angular momentum of an ultimaton; it will attempt to deal with energy = mass=20 transformations and wave generation.

One last comment: Albert Einstein's theory of relativity predicted = (and it=20 has many times been experimentally verified) that the mass of a particle = increases without limit as the speed of that particle approaches the = speed of=20 light. This has always seemed to be a very mysterious phenomenon. But = this=20 theory of ultimatons and electrons at least offers an appealing way to = conceive=20 of the situation without abandoning common sense--by imagining that as = the speed=20 of the particle increases, more and more of the energy applied to the = particle=20 is transformed into rotational energy (mass) rather than into = straightforward=20 motion. Thus the mass of the particle increases more than its speed as = its speed=20 approaches the speed of light.

A service of
The=20 Urantia Book Fellowship