Paradise and the Topology of Space: A Theory of
Ultimate Matter
by Philip G. Calabrese, Ph.D.
To start off today, some of you may remember the last Scientific
Symposium in Nashville when I concluded that there is no way for human
resurrection to occur on Jerusem "on the third day after natural death"
because the guardian seraphim, who carries the human soul, cannot travel
there in less than twenty years. The Urantia Book insists that
there is no way for a seraphim to traverse space any faster than three
times the speed of light (*260). Since the nearest star is 4.3 light
years away and Jerusem must be many stars away, the angel can't get
there in days at her speed. The distance from earth to Jerusem 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
suggest that some nameless Melchizedek might have been called on the
carpet for using the expression "on the third day after natural death,"
which we would take literally. Well, today I am going to recant my
Urantia Book apostasy; I've thought of a way for the guardian angel
to get to Jerusem in less than three days: The angel simply doesn't travel
there under her own power! She must be translated to Jerusem by some
unrevealed universe or Paradise technique. A careful reading of The
Urantia Book will reveal that in every case where this trip by the
seraphim from Urantia to Jerusem is described, the author never says that
the angel gets there by normal seraphic travel or transport. Instead, some
vague expression like "proceeds to Jerusem" is used to denote the mode of
transportation of the angel. I hope this explanation resolves the anomaly
and points to an unrevealed seraphic phenomenon associated with human
death. On, 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, no matter what our status in life, has been afforded a personal
view of the cosmos, not only introspectively in the attempted
contemplation of the indwelling spirit of the Universal Father, but also
externally as we each gaze up at the stars in the night sky. This
continuous view of the cosmos stretches trillions of miles in all
directions, and spans millions of years into the past, and allows
projections millions of years into the future. That the universe should
afford each one of us a personal view of the whole cosmos, no matter how
supposedly small our doings here on earth, demonstrates how God is
concerned 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 about it. But, of course, we're going to try to say something else
about it, anyway! But before we do, let us pause in awe for a moment to
experience in our personality consciousness, the infinite ONENESS that we
call God, perhaps to feel the loving smile of the one that we may call
Father.
Total Reality is Unqualified Infinity. Total reality embraces unbounded
infinity as well as the Infinitude, and also these two unified as the
whole, the Infinite One. Before attempts at understanding, the human mind
must divide Reality Totality into an infinitude (as contrasted from a
single unity), and an unlimited infinity (as contrasted from the bounded
finite), and then somehow synthesize these two conceptions into a unified
whole.
In the first absolute transaction, the Infinite One becomes the
personal Father of the Eternal Mother-Son (the original spirit person) and
also the eternal source of Paradise (the original non-spirit, nonpersonal
manifestation). All conjoint action by the Father and the Mother-Son is
consummated by the Mind-God, the Conjoint Actor, the Third Person of the
Infinite Trinity. From Paradise emerges space, which, like the concept of
the master universe, is a transcendental reality existing somehow
between the infinite and the finite. The fifth absolute is the
Unqualified Absolute, which pervades all space but is not limited by
space. The Deity Absolute and Universal Absolute complete the seven
absolutes of infinity. These seven absolutes are functionally unified in
the fourteen triunities, each a functional association of the Father with
two of the other six absolutes.
It is suggested that we may helpfully conceive the total cosmos as an
almost limitless ellipse with one absolute focus located in Paradise. What
does The Urantia Book say about these matters?
On Paradise:
- A flat ellipsoid, having upper, nether, and peripheral regions
- The most gigantic organized structure in the whole Cosmos
- The dwelling place of the existential Trinity of three divine
persons and (probably) the focal center of all three of the nonpersonal
Absolutes (*15)
- The geographic center of infinity (*126)
- Has no time or space (except by volition) but has absolute
surfaces and areas and absolutely significant distances and
directions--north, south, east, west, up and down
- Universally present as the physical grasp of Paradise gravity, an
instantaneous attraction (*125,482)
- Is the nucleus of each ultimaton (the smallest material
particle)
- Located at the center of all things
- No position in space but located at the focus of space
(*1156)
- Peripheral Paradise touches the relatively motionless midspace zones
of space existing between the moving zones of space (*124).
On the Unqualified Absolute:
- Pervades all space but is not limited to space presence
- Gives rise to primordial force, emergent energy, and all finite
matter
- Reveals all that originates in Paradise (*126)
- The central focalization of its space presence is in the outer zone
of nether Paradise (*123).
On Space:
- Needs seven dimensions, one for each absolute of infinity (*1439)
- Is eternal but not absolute; is absolutely ultimate (*1297)
- A transcendental reality before all beginnings and after all
endings; not the "final" frontier, but the "ultimate" frontier
- Partially transcended in human experience only by mind (*1439)
- Pervaded by the Unqualified Absolute (*124)
- The totality of space has a definite geometrical shape (*124)
- Seemingly originates just below nether Paradise while time
originates just above upper Paradise
- All matter contains space and moves in space, but not all space is
inside matter (*1297)
- The midspace zones encapsulate all of pervaded space and the space
reservoirs and the potential infinity of all outer space.
On Ultimate Matter and Motion:
- Ultimatons are minute spheres-- particles, not waves (*475)
- 100 ultimatons make up a typical electron but do not whirl around
within the electron like electrons whirl around the atomic nucleus nor
as planets whirl around the sun (*476)
- Ultimatons have axial rotations around their Paradise nucleus
- Ultimatons may "huddle" together within the electron (*478)
- When a particle moves in space it takes its interior space with it
(*1297)
- Ultimatons and electrons shift positions and emit mass according to
m=E/c2. (*474)
- There is a plane perpendicular to any given mass (*126)
- Sunlight is composed of highly heated and agitated electrons
(*460-61)
- The wave length associated with the emission of a particle is 860
times the diameter of the emitting particle (*474, 476).
Now a number of questions arise:
- How can Paradise be the nucleus of each ultimaton without being in
space?
- How can Paradise have a universe location (at the focus of the
midspace zones) but have no position in space?
- How can Paradise be the geographic center of infinity?
- How can Havona and the superuniverses (in space) whirl around
Paradise?
- What is an ultimaton made of?
- What does an ultimaton look like? what is its geometric shape?
- How are the 100 ultimatons arranged in an electron?
- What does it mean for ultimatons to "huddle"?
- How can ultimatons and electrons shift positions and emit mass?
- How does the positive or negative charge of an electron arise and
why don't light particles have charge?
- How do the wave properties of matter arise?
- How can an electron emit an electron (a light particle) when it
drops to a lower energy state?
- How does an electron absorb a particle of light (an electron) and
shift position?
[By the way, the last two provocative questions and the above
observation 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
geometry that are invariant under stretching or contracting. For instance,
a doughnut and a cup with a handle are topologically equivalent because
one can be transformed into the other by a continuous mapping. But a
sphere and a doughnut are not so equivalent. Topology also attempts to
model the "closeness" concept. Formally, a topological space (a topology)
consists of a universe U of points together with a special collection of
subsets of U called open sets. The collection of open sets has the
property that the intersection of any two open sets is also an open set,
and the union of any subcollection of open sets, whatever, is also
an open set. A neighborhood of a point is any subset of the
universe that includes an open set that contains the given point. For
example, the universe of points in the euclidean plane together with the
collection of the interiors of all circles (and their unions) form a
topological 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
certain points at infinity. We can imagine each straight line extending
out to infinity in both directions ending in two points at infinity. A
line parallel to the first line ends in two different points at infinity;
and a line intersecting the first two lines ends in still another pair of
points at infinity. The set P of all points at infinity for all the lines
in the plane can be considered to be a "circle" at infinity. In euclidean
solid geometry we would get a "surface" P of points at infinity. A
topological neighborhood of infinity (i.e., a neighborhood of the surface
of infinite points) is any subset of the universe whose complement is
bounded, i.e., contained, in some finite circle. Thus a neighborhood of
infinity is any subset of the universe that includes everything outside
some finite circle.
Since Paradise is the geographic center of infinity, Paradise must be a
neighborhood of infinity. It somehow must contain infinity. After all, the
zone of infinity does exist at the center of nether Paradise. The
co-finite topology, applied to solid euclidean space rather than the
plane, seems just right for modeling a cosmos whose origin is at infinity
instead of at some finite point in space. Paradise must be the center of
what we commonly imagine as what's "out there" in the infinite reaches of
outer space, and even beyond, out to the very edge of our mental concept
of the master universe.
Now Paradise is not only "out there"; Paradise is also at the focus of
space, the focus of those midspace quiescent zones of space intervening
between the relatively moving zones, as for example, in the atom,
electron, and ultimaton. Thus somehow Paradise is also located at the
center of each ultimaton. Finally, Paradise is also located at the center
of the grand universe, at the center of the superuniverses as they whirl
around. How can all this be? The answer is that the topology of space must
allow Paradise proximity in all these ways at once. Note, for instance,
that peripheral Paradise can be approached by a sequence of midspace
points.
Space must have a non-spatial hole at the center of each ultimaton
where nether Paradise acts to hold the ultimaton together as an individual
particle. The nuclear region of each ultimaton must be located in nether
Paradise, where there is the "central focalization of the space presence
of the Unqualified Absolute." That must be why space seems to originate
just below nether Paradise. In addition, the macroscopic grand universe
must have a unique space intrusion where, again, Paradise is located.
Space topology must allow this proximity of Paradise to the central
universe, which exists in space, while Paradise itself is not in space.
The construction of ultimatons is the work of the Paradise primary and
secondary Transcendental Force Organizers, and the design of the master
universe is the work of the Transcendental Architects of the Master
Universe.
All this leads me to discard our contemporary notion of space as a
uniform void. Space is neither uniform nor empty. Uniformity of space is
not really necessary for our physical theories. All we need is the
revolutionary motions of matter in space about a center. But the center
itself need not be conceived as being in space. Space must be very
"holey," spelled with an "e." It must have a big hole in the macroscopic
center of the grand universe, little holes at the 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 must be a relatively thin, rotating, spherical shell of space
with a non-spatial nucleus. The Paradise nucleus binds the shell together
preventing it from flying apart on tangents toward outer infinity. An
electron must consist of one hundred concentrically arranged ultimatons
with a common non-spatial nucleus.
These concentric spherical shells of space may rotate with different
speeds and axes of rotation, thus giving rise to angular momenta with as
many as 100 different axes. The result is an angular momentum vector with
components in all three conventional spatial dimensions, just as appears
in contemporary quantum mechanics (although contemporary science hardly
gives physical interpretation to this momentum vector). Huddling of
ultimatons means that the rotating shells of space cluster by shrinking or
expanding toward one another.
An ultimaton may drop into a lower rotational energy state by emitting
some rotating space (mass) in the form of another ultimaton. In this case
the change in the mass of rotating space of the ultimaton equals the
change in its energy divided by the square of the speed of light. On the
other hand, capture of one rotating particle (ultimaton) of moving space
by another ultimaton would increase its energy and its rotational radius
or speed and so its mass. Similar transactions can be envisioned when 100
ultimatons are concentrically arranged in an electron. When a particle is
formed and emitted by another particle, vibrations are initiated in the
pre-ultimatonic content of space, and these secondary waves are apparently
interpreted by contemporary quantum physicists as the particle itself.
Hence we have the confusing contemporary notion of a "wavicle"--a
hypothetical hybrid particle-wave duality. However, according to The
Urantia Book, these waves have a wave length 860 times the diameter of
the emitting particle.
The generation of so-called positive and negative electronic charge
might also be explained in terms of the spin of the 100 intraelectronic
ultimatons. For instance, if most or all of the 100 ultimatonic shells are
rotating in the same direction, then two such electrons might repulse one
another. On the other hand, two electrons (one a positron) with opposite
revolutionary directions might attract each other and cancel some of each
other's rotational mass, emitting some energy in the process. The
construction of electrons, protons and atoms from the ultimatons is the
work of the power centers (*473).
Although these explanations are still qualitative, it does seem to me
that most of the strange phenomena of present-day quantum mechanics are
potentially explainable in terms of this model of sub-electron matter as
rotating spherical shells of space. I am just now working out some of the
quantitative implications of this theory, and the preliminary results are
very encouraging, but time doesn't permit me to get very far into that
here today. In the near future, I plan to submit a more technical paper
for publication that will deal with these quantitative aspects of the
theory. This paper will redefine mass as rotating space and will consider
the conservation of the kinetic and potential energy and angular momentum
of an ultimaton; it will attempt to deal with energy mass transformations
and wave generation.
One last comment: Albert Einstein's theory of relativity predicted (and
it 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 light. This has always seemed to be a very mysterious
phenomenon. But this theory of ultimatons and electrons at least offers an
appealing way to conceive of the situation without abandoning common
sense--by imagining that as the speed of the particle increases, more and
more of the energy applied to the particle is transformed into rotational
energy (mass) rather than into straightforward motion. Thus the mass of
the particle increases more than its speed as its speed approaches the
speed of light. |