The Genesis of Proof

Posted on 30 Mar 2020 @ 12:57am by Commander Allyndra illm Warraquim & Lieutenant JG Matthew Plumeri & Ensign Callin Mastrel & Petra Varelli Ph.D.
Edited on on 30 Mar 2020 @ 3:06pm

2,759 words; about a 14 minute read

Mission: Episode 17 - Crystal of Life
Location: USS Galileo-A - Holodeck
Timeline: MD 04, 1301 hours

[ON]

The holodeck was dark except for the light streaming in from the open door. Matthew said with a grin, "Get in or get out but you're letting the heat out!" he said playfully.

A pinpoint of light inside the holodeck suddenly exploded in concentric circles that were ever expanding. Rosey red hues, blues and grey-white brilliance. It was the end of the Mutara Nebula; the beginning of the Genesis planet. A section of the third circle contained a piece, a fragment really, a microscopic speck relatively speaking of the USS Reliant and that little piece was caught in that ever widening circle, The remains of the nebula were distant now on the holodeck. And a section of the wave was now in focus as it traveled at light-speed and then sub-light speed in a never-ending arc of normal matter to sub-space.

As it travelled the great ocean of interstellar space, planets, stars and comets every so gently altered is course. It passed through nebula and gas giants. It passed through a great interstellar electrical storm. It rode the waves of a supernova and it saw the great dark places of deep space. For decades, it travelled in the vast emptiness of space. The lonely reaches where there the stars themselves didn't share their light. In great empty places in space. No planets, no comets just the deep of space and the loneliness of it. Three decades ago it entered the outer cloud of this Latari galaxy. The distant suns were visible in a few years. Twenty decades and the wave could be seen travelling by distant minor asteroids. Ten decades and it had entered the system. And, in time it drew closer and closer to a certain planet.

Then it impacted the planet. The simulation ended and the room lights came up.

"That's what we have established so far?" Matthew asked the person standing next to him.

With a doubtful look on his face, one that he'd worn since first joining this investigation into how the Genesis Effect from so long ago had turned up here, Callin shook his head, "I'll admit, this level of theoretical physics is making me feel like I'm cramming for an Academy exam again, Lieutenant, but I'm starting to think I was wrong and maybe this is how it happened. Still, are we sure we aren't trying to make the evidence fit our simulations, and not the other way around?" He'd been asked to try to poke holes in this hypothesis, but so far they'd seemed to able to account for just about every objection he could think to raise. A glance at the PADD in his hand that scrolled through a massive list of variables the Science team and the Computer had compiled made Callin's frown deepen. "Pardon the phrase, but I never thought I'd ever see something with such an astronomically small chance with my own eyes..." And yet, here they were, and here was Genesis in the Latari System.

As per usual Kalindra just stood toward the back. She was not used to being around people let alone a set of officers. She watched as the simulation ran. Finally she spoke up with that timid voice when there was a slight pause. "I believe you would have to increase the soliton amplitude, also there is something here," she pointed to one spot. "Something seemed to have pulled or tugged the wave a bit more as when you compensate for the gravitational tug of the triple star system it would not seem to be quite enough. Is there any other data from the area?"

Matthew looked at Kalindra and said, "I saw that too..." He addressed himself to the holodeck, "Computer, replay the simulation. Start at time index zero-three-four-four. Also, display elapsed duration in stellar mean time. Begin." The machine chirped in compliance and the metallic holomatrix grid change back into a tapestry of blackness and stars. The scene fast-forwarded to the index Plumeri had requested and the playback began. On the wave itself, just below the crest, there was a new display of the actual time in stardates and actual event duration. The simulation played again. Matthew spoke up, "Computer, one-half speed. Enhance soliton amplitude using averaged calculation." Inside the wave a section was highlighted and it grew by 0.4%. Then, it changed course again. This time it veered two degrees off axis and in a new direction.

"Pause program!" Matt said and ran his fingers through his spikey blond hair. "Whoa! What just happened?"

"Something interfered with the wave," Petra said. "Any way to amplify that so we can have a closer look?"

"Not my expertise on holodeck work, but the only way for the wave to change direction is if something interfered with the internal oscillation. If I may," Kalindra said and then set up a different wave, one much more simple and larger. "This one is a simple one but has the basic properties, now watch." The internal reinforced waves were in harmony but then they moved apart, not by much, and even more so then the now frozen simulation. They waves vibrated merging and separating, almost like a dance but in the end they finally merged again but the wave had changed direction. She spoke again, "it can be gravitational, electrical, or something else but something would have had to set up an internal oscillation otherwise without that change the wave would still be traveling and outward until probably the galactic edge."

Matt put his head in his hands and squatted down on the balls of his feet. "Let me think...it's times like these I wish I had paid better attention to Celestial Mechanics lectures!" He was quiet a moment, he spoke softly under his breath, as if he was reciting something memorized, "....standing waves in a closed celestial system...orbital angular momentum operators cannot exclude sub-space uncertainty...Planetary orbital momentum is subject to matter caught in a sub-space matrix...implying that at any time, only one projection can be measured with definite precision; the other two then remain uncertain..." He lifted his head and looked at the waves and said, "These are mostly waves, soliton...but they are not entirely waveforms. We've been modelling something like standing waveforms...elliptical waveforms, ever expanding outward and getting larger...and weaker as it travels." He stood up on his feet, "Computer, create for me an interface for scientific notation."

A large panel appeared in front of him, transparent, except for the frame. He wrote on it with his finger a formula:

R({\hat {S}},\phi )\equiv \exp \left(-{\frac {i}{\hbar }}\phi \,\mathbf {J} \cdot {\hat {\mathbf {S} }}\right)

Matt stood back and asked Kalindra and Callin to look it over.

"I remember, Orbital Angular Momentum....but it has to be accounted for in sub-space right? How else can the wave sustain it's energy? Kalindra points out that as a soliton wave it could carry on infinitely. Like a standing wave in a closed system. But this isn't a closed system...at least not when it's in sub-space. In quantum physics, there is another type of orbital angular momentum, called spin angular momentum, represented by the spin operator S. Almost all elementary particles have spin. Spin is often depicted as a particle literally spinning around an axis, but this is a misleading and inaccurate picture: spin is an intrinsic property of a particle...whether its in normal matter or in sub-space, unrelated to any sort of motion in space and fundamentally different from orbital angular momentum. Right? We have a piece of the Reliant...it's creating the energy itself to...'thrust' and perpetuate the wave. We don't need to calculate for gravity, for every anomaly, for every curvature...it is an inevitability that the waveform ended up here in the Latari system." He looked at them again, "From the moment the Reliant exploded and that matter was caught in flux...it was a self-propagating event. It couldn't be otherwise. The only thing we have to account for now is if the waveform hit any objects along the way. If it did...then there will be evidence of it left behind. Evidence of the Genesis Effect."

Kalindra contemplated the idea running through things in her own head. The equations danced in her head for a moment. She nodded as she went through the math. In both classical and quantum physics the angular momentum is given by. This essentially describes angular momentum as the momentum of something ( ) at the end of a lever arm ( ). Classically and are the position and momentum of a thing. Quantum mechanically they’re measurements applied to the quantum state of a thing. For “convenience”, define the “angular momentum operator”, as or equivalently, wher is the “alternating symbol“. This is just a more brute force way of writing the cross product. Now check this out! (the following uses identities from here and here)

The math creates a relationship between the angular momentum in any one direction, and the angular momenta in the other two. Surprisingly, the math allowed one to create a “ladder operator” that steps the total angular momentum in a direction up or down, in quantized steps. Here are the operators that raise and lower the angular momentum in the z direction:

Li is a measurement of the angular momentum in the “j” direction (any one of x, y, or z). For the purpose of making the math slicker, the value of the angular momentum is the eigenvalue of the L operator.

Assuming that there’s a maximum angular momentum in any particular direction, say “j”, then the states range from |-j] to |j] in integer steps (using the raising and lowering operators). The universe doesn’t care about the difference between the z and the negative z directions. So, the difference between j and negative j is some integer: j-(-j) = 2j = “some integer”. For ease of math the h bar were separated from the L’s in the definition. The actual angular momentum is “j h bar“.

At no point has mass been mentioned and that applied to anything and everything.

She finally spoke up. "So, the maximum or minimum angular momentum is always some multiple of half an integer. When it’s an integer (0, 1, 2, …) you’ve got a boson, and when it’s not (1/2, 3/2, …) you’ve got a fermion. Each of these types of particles have their own wildly different properties. Most famously, fermions can’t be in the same state as other fermions (this leads to the “solidness” of ordinary matter, while bosons can which is why light can pass through itself. So while the soliton is self propagating the the Reliant physical part is fermion composed the field it generates is baryonic and why the Genesis field can pass through many things. I believe sir you are correct. The problem as I see it is that there is a lot of space and time to account for which is not particularly mapped well. Just as a consideration then this field is almost self sensing nothing close enough until as you mentioned it got close to here. Perhaps it self directed itself?"

"That's all great in here, but you have to explain it to the Brute Squad, and I don't think they're going to understand higher math, let alone Quantum Physics," Petra interjected. "You're going to have to dumb it down a lot so they understand, and so they realize the magnitude of that interference."

Matthew paused to consider what Dr. Varelli said. "You're right. Of course." He folded his arms across his muscled chest and sighed, "There is, of course, another...er...rather large problem. Right? We're talking about a wave and a state of sub-space that both, yes exist, but have never been studied like this 'self-propulsion' through space using a solitin waveform. Not to mention that the 'drive' for this thing is a piece of technology that officially doesn't exist and is classified. In a region of space that's in dispute over a colony with a settlement claim." He put his hand to the bridge of his nose, "Oh and I almost forgot!" He dropped his arm and addressed himself to the holodeck, "Computer? Create for me a padded, reclining chair directly behind me."

The chair, with big soft padding appeared directly behind him and Matt fell back into the chair with his feet up on the recliner and said, "Now, computer, identify all of the navigational, astronomical, astrophysical, stellar cartographical and universal indexes between the old Mutara Nebula and this solar system."

The computer whirred and answered, =A="Please refine parameters. Time frame?"=A=

Matt answered with his eyes closed, "Stardate 8130.4 to present."

=A="Include non-Federation indexes?"=A=

Matt answered, "Yes. List the directories and estimate the number of hours for the search to be completed."

=A="Working...The Federation Astronomical Union Scientific Catalogue. The Glassadoren Index of Stellar Science, The Unionists Catalogue, The Andorian Astronomical Catalogue, The Vulcan Stellar Index, The Daystrom Institue of Astrophysics, The Gravitational Index of Planetary Matter, The New General Catalogue of 2216, The Haro Catalogue, The Iskudarian Index of Stellar Cartography...=A="

And on and on it went for at least another thirty seconds. Matthew said, "STOP! OK, how long to collate all that into the current loaded program and adjust?"

=A="Four days, seven hours and eleven minutes."=A= And with that Matt lifted his hands and said, "Aaaand.....we're screwed. We don't have that time."

"No," Kalindra agreed. "However you can certainly tell them that there is a very high degree of probability of how and why this happened. Even a Vulcan would have to admit that with what has been accomplished that the uncertainty..." she pitched her voice to a very flat neutral, "is adequately small."

Matt listened and let out some air, "Whewww!! Yeah. OK. I mean...how many Genesis devices are out there anyway? Do they really think that this might be 'somebody else's' Genesis device? It's got the same got dang signature at the piece from the Reliant!" He said and stood up from the chair. "Man I could use a break right about now." He turned to look at them as the reclining chair vanished. "OK, so what's our next move?"

"We can't give them all the answers they want without years of research, but do we have enough information here to justify studying the planets rather than blowing them up?" Petra asked. But she wasn't so sure that anything would keep some from demanding that they hide all evidence of this as if the planets themselves might launch more Genesis devices to infect the quadrant. "Since when was it more important to hide a past failure than improve the future?"

"I agree," Kalindra replied. "This could be something that could occupy some graduate school major for quite awhile. We have more than enough to present a case."

Matt nodded and looked at Callin, "Ensign? I think that we should all be on the same page here. A unanimous consensus will be more powerful. What do you think?"

"That we have a consensus, Lieutenant," Callin replied. "Even if we can't prove it without a shadow of a doubt, this has to be the Federation Genesis effect at work. Either that, or the Divines have a much more mysterious sense of humor than I ever gave them credit for."

Matt nodded, "Awright...we're in agreement. Let's go and see if we can get anybody to listen? Computer? Save simulation and end program."

The simulation ended and the familiar gridlike pattern was all that was left. The doors to the holodeck opened and Matt asked, "Anyone want to come with me?"

Kalindra put up a hand, like a student. "I will sir, if it is alright?"

"Hell's yeah. C'mon, let's go" Matt said as they walked towards the open doors.

"I'll uh..." Callin glanced at the screen he'd left his Tholian data on, knew he still wasn't going to make any headway. "Yeah, I'm coming!"

Petra didn't want to be left out of this. She quickly followed behind the others. One way or another, it was going to get interesting.

[OFF]

--

LTJG. Matthew Plumeri
Science Officer/Historian
USS Galileo-A

PO2 Kalindra Jain
Science Officer
USS Galileo-A
[NPC Warraquim]

ENS Callin Mastrel
Science Officer
USS Galileo-A

Petra Varelli
Forensic Anthropologist
USS Galileo-A
[PNPC Sandoval]

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