by David A. Epstein
Last Updated: March 4, 2001
I never could get the hang of working in a factory. Something
about the harsh physical conditions, raucous sounds,
pungent odors, and obnoxious people turned me off to that
vocational routine. There were several occasions I simply could not enter
one of those factories without feeling nauseous. I often questioned
why I continued to work in this type of environment. In fact, I
seldom was curious about what the other workers were doing at any
given time.
In a nutshell, factory life
was dirty, ugly, unsightly, and certainly beneath me;
yet I remained steadfastly committed to it. Regardless of the
hardships, the life of a factory worker can be rewarding if he
is working on something interesting. That was the situation I
found myself in.
It was by sheer accident that
I became a metallurgist. I was working on my masters
degree in applied mathematics at the university. While studying
there, I hooked up with a professor in plasma physics who
introduced me to some novel concepts about conversion from
solid state materials to ionized gases. Specifically, he taught
me about how certain metals can be transformed into different
phase states using specialized techniques of current amplification,
reverse polarity, and molecular defragmentation. I was very
enthusiastic about the possibilities of combining my knowledge
of mathematics, particularly topology, with these exciting developments
in solid state and plasma physics.
When I found out they were
applying this pioneering research in a metallurgy factory,
I was astounded. One would naturally think that such research
belongs in the realm of advanced academic study. But the Putman
Materials Plant was not your typical place. You see, I was certainly
cutting sheet metal, and no doubt that anyone who saw me with my
blow torch, or alternatively fusing metals together with a welder,
would think that I was your stereotypical blue collar worker. Nevertheless,
they could not possibly know that this work was merely the prelude
to our core developments.
What if I told you that we
were creating vaporized metallic structures that were
oscillating between what we deem to be everyday material reality
and abstract mathematical phase spaces? Would you be amazed
to discover that such structures were the gateways to higher
dimensional worlds? Then perhaps you would find it easier to
overlook my immersions in the mundane, tedious labor of factory
work.
The theory behind all of this
is quite complex. It involves the creation of what mathematicians
call exotic spheres. The process of designing them, however,
turns out to be simpler than you might imagine. First, a few "metallic"
rings are created, eight to be exact. These rings are interlinked
to form a unique sphere. Nothing too exciting at this point; pretty
straightforward tasks performed at Putnam. What makes it intriguing
is that the interiors of these rings are removed, leaving exterior
shells of sorts. Then, these interior "guts" are twisted and then
reinserted into the rings. These twists do not change the composition
of the rings or spheres; but the mathematical properties of these spheres
are radically altered, and that makes all the difference in the world.
I won't bore you with the
details for the time being, but suffice it to say that we have
pioneered a unique process of travelling to higher dimensional
spaces through the use of these exotic spheres. There are an infinite
number of these 3D spheres. This means we could spend eternity
hopping from one 3D sphere to the next; yet who in their right
mind would pass up the opportunity to travel to higher dimensions?
Not us, that's for sure. We plan to navigate to the fourth dimension
for starters. At a certain point, we will harness the energy boost
resulting from this process to slingshot to higher dimensional spaces.
Think of these as topological orbitals; higher, mathematical energy
states.
Oh, I guess I haven't formally
introduced myself. My name is Charles Jefferson. Some people
just call me Chuckie. Glad to have met you. I'm sure we'll have
plenty of time to get acquainted later on. But now, I've gotta
get back to the factory. There's work to be done; launch plans
from "the basement", but I'm not at liberty to discuss it further. So
until the next time we meet, just keep smiling, walk straight, and
try not to bump into those exotic spheres!
I found the sensation of floating in this peculiar
three-dimensional space to be somewhat intimidating. In a strange
sort of way, the space was engulfing me. I was not freely moving
within it; rather, it was swarming around me. Was I being swallowed
by some invisible presence? It felt that way, that's for certain;
though I must confess it was more pleasurable than painful. Still,
I became anxious about the uncertainty of what would occur next.
It did appear that I might be cast in some type
of dream state. There was a unique intangibility, a feeling
of remoteness from what I was truly experiencing. Of course I vividly
remember being launched into this new terrain, so I knew it was reality
of sorts; yet while I retained my usual awareness, more or less, it
was sparked with an array of alien sensations. For example, I was barely
moving, yet I felt as if I was being mildly stretched in all directions.
I could not reconcile these types of dualities in my mind, but I uncritically
accepted them.
At the same time, I did not feel in anyway threatened.
I have always relished the prospect of exploring a new abstract
world. Here was my finest opportunity right in front of me. I was
starting to orbit around this exotic sphere, not knowing what to expect,
but aware that anything could occur at the slightest turn. Yes, I felt
like an astronaut eyeing the great blue ball from beyond the Earth's
atmosphere. The main difference is there were all types of flashing
lights tainted with various tints and hues.
The sphere itself displayed swirling
colors interspersed with varying textures. Spots on its surface
rapidly expanded and contracted. I could see arcs stretching in
several directions which tangentially touched its surface. A
mathematician once explained this forms the basis of the next dimensional
space. Whether these arcs were the gateways to this space, I could
not decide. I certainly was not brave enough to fling myself against
one of those curved figures. "Let's just leave that in the realm
of theoretical mathematics," I thought.
Before I continue on, I just wanted to say a few words about the
suits and helmets we were wearing. They were custom designed to provide
complete protection from the alien environment while permitting our senses
to fully experience it. I found my suit to be very comfortable, primarily
because it was made of a thin elastic, non-abrasive material. Special
sensors were attached to our equipment which detected external phenomena.
They were converted to the sensations which we directly felt.
Oh, I didn't tell you about my partners in
crime, did I? Well, let me introduce you to Theresa and Martin.
Theresa was a pioneering topological astronaut for NASA. She
made some life-threatening but adventurous trips into all types
of abstract spaces like chaotic attractors and Julia sets. An
abundance of useful data was collected for the agency; they were
interested in alternative simulation environments for long-term,
sustainable space exploration. Theresa simply chalked it up as
another victory for the professional experimentalist she is. Suffice
it to say that she's done it all: skydiving, mountain climbing,
hang gliding, isolation tanks, psychedelics, all types of meditation.
This trip represented a natural "next step" for her.
Martin, on the other hand, was conservative
in his life style. He played chess, tennis, and his greatest
indulgence was crossword puzzles. His training in high energy
physics certainly was very beneficial to the group, for he was able
to explain what was happening to us during the transitional states.
I met him at Putnam when I was just beginning to work there.
At the edge of this exotic sphere,
we were penetrating the boundary of the fourth spatial dimension.
This boundary appeared to be a long, semi-permeable, translucent wall
that ascended to dizzying heights. We passed into a higher superspace
encapsulating the lower world. I became aware of this huge surrounding
space, shaped with strange curvatures and fanning out in several directions.
There were flashes of light that perforated my sensitive eyes. This
triggered images of laboring at Putnam when sparks would fly by while I
was cutting metal sheets. The higher dimension pulsated with the subtle
rhythms of a breathing organism. Each apparent rhythm was accompanied
by patterns of meshing, dripping colors. It was abstract expressionism
of sorts.
My skin felt stretched, as if it contained an extra layer of
substance. In fact, my entire body was riveted with all types of
twists, textures, and crevices. It was vibrating with a new life.
My sense of smell was tinged with odors I've never smelled before.
The strangest sensation of all was that while my eyes were adjusting
to new shapes and colors, my vision incorporated all of the other senses.
Can you imagine that? If I were to tell you that I was tasting what
I was seeing, you'de think I was at best a creative poet, but more likely
a raving lunatic, no?! Well, this was no mere metaphor; it was the reality
I was experiencing.
After a flurry of these bizarre sensations, I became
acclimated to this new environment. Each of us was exploring a
different part of this four dimensional sphere. I continued to orbit
around it. As I was drifting at a constant speed, I thought about accelerating
to the center of the sphere. I stared at its surface. It was intoxicating.
There's no way I could adequately describe it. Perhaps if I said it
was a fluorescent glow with pulsating bursts of gaseous emissions, that
would be a decent start.
I thought about navigating closer to the surface,
but I couldn't figure out how. So I just took a deep breath and
visualized what it would be like becoming immersed in its substance.
Then, without any warning, I collided with something which completely
startled me. I saw this figure in a space suit drifting in space,
barely moving. I cautiously approached the figure and looked into
the helmet. There was a man with an imploded head; his eyes were dangling
from its sockets, down near his mouth. I let out a loud scream, but
surely nobody heard me. Frantically, I searched for the others. It must
have been about one-half hour later when I found Theresa and Martin.
Without getting into the details, I described what happen, but they didn't
believe a word of it. They wouldn't even give me the benefit of returning
to the scene. Instead, we headed back to Putman.
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We returned to the basement
without any great fanfare. The trip back had a few bumps
and bruises, some twists and turns, and flashing lights of different
colors while travelling through various tunnels; yet it wasn't
filled with the high drama I had anticipated. We had experienced
a real-time, actual sized adventure in higher dimensional spaces;
that's where the real excitement was. Navigating back to ye ole
factory just didn't cut it for me. The sole redeeming feature of
the return 'flight' was its quickness.
I was the first to return, by the way.
This gave me the opportunity to watch the others materialize
out of the thin air into the bubble chamber, our launching and
landing pad. Next came Theresa. She had a bit of a rough landing,
yet quickly rose to her feet, took off her helmet and exclaimed
"awesome". Martin was the last one to return. He always seemed to be
the last at everything. "Slow, but thorough," is how I would characterize
him. His landing was smoother, though he carefully surveyed the
local environment before removing his gear.
"Well, that was a lot of fun," said Theresa.
"Fun?! Running into a dead topological
astronaut isn't my idea of fun." I replied.
"Oh, come on, you were having 4D hallucinations
my friend."
"Quite contraire, it was more real than even this
conversation."
"OK, I won't belittle you more than need be. But
putting that aside, didn't you get off on those streaking,
pulsating lights?"
"Yeah, they were visually stimulating,
weren't they," interjected Martin, in his typical over-analytical
style.
"OK, it was stimulating." I wasn't about
to mince words over something so trivial
"Good thing I captured it all on my video
recorder." Theresa was certainly one to publicize her activities.
Theresa walked past the resonant hyperwave
generator. This was the device used to propel objects and people
into multiple dimensional spaces. She opened the plexiglass door
of the bubble chamber and walked into the room. I followed her
out, and Martin, of course, lagged behind. Each of us removed
our containment suits. We hung them up in a large closet where we
stored all of our equipment.
I was too exhausted to engage in further conversation
and simply plopped down in a nearby chair. Theresa, certainly
the most energetic of the group, did a few stretch routines,
light calisthenics if you will. Martin sat down on the sofa and
continued reading a book.
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I had inquired about the status of the exotic
sphere we were preparing to jettison into hyperspace. The finishing
touches to the sphere were being applied as I entered the manufacture
room. A lab technician was welding the outer layers together so the
interior "guts" wouldn't spill out. He then placed it in some cooling
liquid which compactified its contents and smoothed its surface.
The next step was the most fascinating to witness.
The sphere was inserted into the vaporizer. While the electromagnetic
pulsations were being applied, it was amazing to watch it dematerialize
into some hazy, colorful, misty substance. It went through several
transitional phases, each with its own color, texture, and sound
effects. Difficult as it was to describe, I could smell the strong
odors of the metallic vapor. It had a repulsive scent, so much so that
I moved to the back of the room.
Finally, the transformed substance was transported
through a wide tube, through a shoot, and down into the basement.
It was injected into the bubble chamber where it was placed on
the launch platform. At that point, the resonant hyperwave generator
was just warming up. I rushed downstairs to witness the launch festivities.
What can I say? It's not every day that you get to see something propelled
into higher manifold spaces.
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I wanted desperately to return to the fourth
dimension. Yes, you guessed it. First, to re-experience the joy
of floating in that most pleasurable realm. Second, I just had to
find out what happened to that dead, floating man. It was driving
me crazy. I attempted to convince the others to return to that sphere,
maybe send out a search team to recover the body; however, the others
wanted no part of it. They thought I had flipped out. All they wanted
was to delve into the seventh dimension.
Why the seventh dimension you ask? Well, starting
in 3D, exotic spheres skip four dimensions. They exist in
7D, 11D, 15D, and so forth. So naturally, my partners wished to
explore the next higher realm. There were 28 exotic spheres in the
7th dimension. Plenty to explore no doubt, before passing into the
8th dimension.
Theresa entered the chamber. She was already
prepared to go, suit and all. Martin came about five minutes later.
He wasn't in his usual jovial mood; more nonchalant than anything.
Guess he wasn't too thrilled about taking the trip after all, not now
anyway. I, on the other hand, wanted to get right back out there. Just
in the fourth dimension.
"Let's goooooooooooooooo, comrades." Theresa
was first to step under the hyperwave generator.
"Can't we wait a while? I'm not feeling too well right
now," replied Martin.
"Oh, you'll feel just peechie once we get out there.
Just a bunch of nerves."
"Maybe we should take it slow at first, let him get
acclimated to the environment. Start out in 3D, then go to 4D and
hang out there for a while." They both gave me this incredulous
look.
"Yeah, we'll go to 4D, but quickly launch from there
to seven dimensional space. Got that?" exclaimed Theresa.
"But there's still so much to explore in 4D," I replied.
"Forget about that guy, Chuckie. He won't be waiting
for you anyway," said Theresa, wryly.
I just couldn't reply to that. Martin mildly chuckled
while shaking his head. "Sometimes, I just don't know what to
expect from you."
"You shouldn't have any expectations to begin with,
Marty ole boy. Just get out there and try not to puke."
The generator was turned on. It revved up to full
capacity within a few seconds. High frequency waves were created
before settling into a stable oscillatory pattern. As we were bombarded
by these waves, Martin put his hand on his chest. He didn't appear
to be in any pain, more like pre-excursion anxiety. I put my arm
around his shoulder to comfort him.
At a certain point, Theresa was surrounded by this
luminous glow. Her body was transformed into a gelatin like substance.
I watched her twitch a bit. Most people would undoubtedly grimace
with pain under such circumstances. She, on the other hand, seemed
to thoroughly enjoy it. Instantaneously, she flashed away out of our
view.
Then I turned my attention to Martin. He still was
quite nervous. I anticipated that he would be the next one propelled
into the higher manifold worlds. Instead, I felt these chilling sensations
running through my own body. I was wobbling back and forth. My flesh
vibrated with increasing intensity as my mind diagrammed all types of
doomsday scenarios. In a nutshell, I thought I was going to explode;
however, as I took a look at Martin, who himself was undergoing some transformation,
I noticed that I was rocketing through some streamlined medium of streaking
lights.
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Deacceleration took its toll on both my mind and body.
No amount of pleasure could convince me otherwise. As I came to
a halt, I looked around for Martin; but he was nowhere in sight.
Theresa was adventuring ahead. She was performing all types of flips,
gyrations, and dervish-like movements with her body. The main viewing
attractions, however, were these phantom like presences emanating
from her. Each was vibrating in different rhythms and colors.
Was this a symptom of the seventh dimension? Maybe
so, though I certainly entertained the notion that I was tired
and merely seeing things. This included siting variations of myself
emerging in space, with flickering visuals and robust intonations. In
other words, I saw myself instantaneously pop up in multiple locations.
Each new being was connected with a blurred light; it was like a time-released
continuum of clones of myself. Perhaps this was the result of my senses
adjusting to the new environment; yet I couldn't help but think that I
was resisting the force of a real presence imposed upon me.
If the mind played tricks on us, then it was certainly
a master magician out here. There were times when I wasn't sure if
I could think in any conventional manner. It appeared as if any thought
became a visual drama that could be felt, heard, and smelled. Thoughts
would instantiate a series of phenomena detectable by all the senses.
As I was contemplating this process, I literally bumped into Theresa.
Well, actually it was one of my nearby clones which first collided with
her. Seems like she was already making headway in exploring the spatial
terrain.
"Oh, so glad to meet your acquaintance once again."
"I guess Martin hasn't made it yet," I replied.
"Maybe he missed his flight."
"Very funny."
"Yeah, I see multidimensional travel has yet to loosen
you up."
We sporatically engaged in this type of fluff conversation
until Martin arrived. He looked decrepid. I was stunned to see how
bent out of shape he appeared.
"Martin, what happened?" I asked. He didn't initially
respond. He reached for his helmet, clearly ready to remove it. I
immediately rushed over to him to prevent this suicidal act. "You can't
do something like that. We're not at liberty to breathe freely out here."
"As ... As of right now. I'm ... I just can't think of,
of what to do," he replied, obliquely.
"You look completely whacked out," said Theresa. "Must
have gotten wiped out from the slingshot propulsion from the fourth
dimension."
"Sure. I could, yes, undoubtedly ... see why you'de think
that."
"Tell us, what happened?" When he didn't respond, I asked
him a second time.
"Yeah, tell us already. You look like you saw a dead
person," said Theresa, as she gave me a sharp elbow.
"Well, ... no." He started trembling steadily. "Actually,
I saw two."
Theresa quickly administered some first aid. She was the
most experienced in the group in this area. She gave him a couple
of anti-anxiety pills and some water for starters. Then she firmly embraced
him to stop the shaking. It took about half-hour, or so it appeared,
to get him under control.
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There are an infinite number of exotic spheres in 3D,
but the number of definitive survival pathways to the fourth dimension
is limited. Most pathways along the boundary "wall" lead to an
unknown fate. Some of our pioneering astronauts made it into the
fourth dimension, but never returned back to our ground state reality.
Martyrs or unsung heroes perhaps, but never to be seen again.
Well, we somehow managed to make it into the 7th dimension.
Even Martin was coming to his senses once again. All of these quirky
sensations I've been mentioning were amazing to experience. When you
realize that there are 28 exotic spheres to explore, each one touching
the 8th dimension, it just blows you away. There are 28 ways to get
to the 8th dimension. The question is what is the right one?! We've discovered
that 27 of them will lead to uncertain destinations. Some return
to lower dimensions, but some don't return at all. It's topological
Russian Roulette, folks.
I was certainly cautious about what moves I would make. Martin,
unsurprisingly, didn't wish to venture out to an unknown space. He
remained stationary in his comfort zone, behind me. Theresa, on the other
hand, was in a gambling mood. She jettisoned to the nearby sphere with
rapid propulsion and exuberance. With some timidity, I followed behind.
I needed to convince Martin to come along.
As I approached the sphere's surface, I couldn't directly
distinguish the unique directions of its curved space. Translation:
either I was disoriented, or that was one helluva space to mentally
grasp. Stubborn as I could be to disavow any psychological breakdown,
I chose to believe that it was the sphere, and not myself, that was messed
up.
"You look a little confused, Chuckie boy," exclaimed Theresa.
"Don't you know where you are?"
"Yeah, very funny. Doing your stand up bit even out here
in this manifold world, huh?"
"OK, I can see that even curved space can't give you a sense
of humor."
"Well, I can see it has warped you. How's that for funny?"
"People, people. I can only take so much of this meaningless
banter," interjected Martin.
"Nuff said," I replied. "Let's just move in and take a closer
look. Just be careful."
We proceeded to approach the surface as cautionsly as possible.
The problem was that it bent in various directions, with so much undetermined
curvature and invisible extensions that it appeared the surface was
miles away. Unfortunately, without any warning, we slammed right into
it. Martin was the first to scream.
"I said be careful."
"But I didn't see what was in front of me," said Martin.
"Yes, it was difficult to make out. We were disoriented because
it itself is disoriented."
"What the heck are ya smoking," commented Theresa.
"Simply put, the exotic sphere is a curved space lacking orientation."
"Meaning what?" asked Martin.
"Meaning we can't directly describe its directions or movement
in that space."
"OK boss, whattaya suggest?" replied Theresa, glibly.
I withdrew my laser gun from my coat pocket. I pulled the
excitation lever to give it several boosts of energy. "I'm gonna use
this laser to create an atlas and some flat surfaces called charts. That'll
make things easier for navigation. Just stay back while I fire away."
When I pressed the activation button, parallel beams of blue and red light
were emitted from the laser gun. It created this reference object, the atlas,
which contained all types of elastic "cords" connecting the curved space
to 'shadows' on the charts.
"Awesome. Simply awesome. So cool of you, Chuckie, to put
on a show like that."
"But what's really happening here?" asked Martin.
"Simple topology. The atlas projects overlapping regions
of the curved exotic space onto two shadows such that the shadows
themselves have a special equivalence relationship with each
other."
"Sounds kinky," replied Theresa. "Like some type of weird
therapy."
"It's not even that weird. You see, the shadows are in fact
orientable. Essentially, they must be smoothly continuous and differentiable
to each other."
"And what does that have to do with anything?" asked Martin,
again.
"Well, it indirectly gives the curved space, the exotic sphere,
some orientation. By monitoring our movements on these charts, we can
experience what's happening on the sphere."
At that point, I adjusted the mode selector on the laser
gun for human application. I pointed the gun at Theresa, admittedly
with some degree of glee. The blue and red beams merged together.
"Hey, watch where you point that thing. It'll mess up my
face."
"Not to worry, nobody will notice. We're merely going to
be projected to the flatland shadows."
I watched Theresa beam down to the left chart. She landed
on her buttocks near the edge, but rose to her feet and strolled around
the surface. Then, I pointed the gun at Martin. It took a few seconds
to project him to the right chart. Finally, I pointed it at myself.
I ended up suspended between the two charts! Within this realm, our
projections were subjected to the motions and actions coherent
to us in our ordinary wordly existence. The charts gave us a
sense of direction and movement. This permitted us to experience
the corresponding curved space in all its glory. Yes, we were exploring
the realm of the exotic sphere; but only the shadow knows. Sure enough,
we were exposed to the multivariate sensations of this flatlander environment.
And I could distinctly recognize that metallic odor I first smelled at
Putnam.
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They say that when you're one of
many, you feel diluted in the greater scheme of things.
Well, in this case, I was even more negligible than that. You
see, it's not every day that you have the joy of experiencing one
of these fabulous spheres, a passageway to a higher superspace encapsulating
this world. The wonder of exploring its phenomenal terrain penetrated
to the inner core of my being.
We had finished exploring our eighth sphere
in the seventh dimension. Each one had a unique landscape, texturized
surface. Some rotated about a tilted horizontal axis, others pulsated
or throbbed like an excited amoeba. One even glowed with a striking luminescence
that is still quite visible in my mind. The variation of complexity surpassed
my wildest expectations.
There can be no question, however, that the last one we visited left
the deepest impression on us. For what appeared to be a couple of hours
after we departed from its hyperbolic surface, the strangest thing happened.
One second, I looked back to view its mystical, misty exterior. About
a minute later, it simply disappeared. Where did it go? Why did this occur
right after we visited it? I could not imagine. There was no hint of anything
that would have indicated it was going to completely vanish like that.
It's as if it willed itself out of existence.
I wondered what caused this seemingly magical act to occur. Indeed, I
was mesmorized by this unexplainable phenomenon, what appeared to be a paranormal
event. It left me breathless and speechless. A few minutes later, I came
to my senses. At that point, I began to entertain more "rational" thoughts
about what happened. For example, in terms of mathematics, I thought it could
have been the result of some type of topological instability. Perhaps it
was a dissipative system. The various possibilities certainly piqued my curiousity.
For a while, we were travelling in empty space. I could not see anything
in any given direction.With nothing to use as an external reference, it
was nearly impossible to determine where we were headed or how fast we were
heading there! Fortunately for us, our navigational systems were functioning
correctly. They assisted us to head in the right direction.
As we headed to the next sphere, our last one to explore before bolting
to the eighth dimension, we entered a pinkish-blueish haze. I could hardly
see Theresa and Martin. They spoke into their mouthpieces, so I heard them
in my earpiece; but their voices got progressively fuzzier. Finally, I lost
communication with them. I had no idea where they went, and undoubtedly,
they did not know where I was located.
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