Stranger 1
By Charles Swanson
Flashback:
Even the closest reader may have missed that, between the events of Aside and Coeurl, Rex and his then-assistant determined and neutralized a connection between a cult of City Transit bus drivers and the Dark Lord Cthulhu.
Lovecraft's Cthulhu is a nasty beast that eats people's minds. They were described by Lovecraft as existing in unimaginably horrible torment forever after being eaten. Cthulhu is almost defined by eldritch-enthusiasts as the maximally abhorrent abomination.
A computer trying to accomplish Cthulhu's task would require high performance by almost anyone's standards. Not only would it have to simulate at least one mind, it would have to be able to differentiate between positive and negative stimulus (a more difficult task than it sounds) and apply the negative stimuli in the optimal way to create the least pleasant experience possible. For ever. But it is extraordinarily difficult to determine which algorithms will benefit from the clever application of an optimizing process. Two processes that perform functionally identical effects on their inputs can be extraordinarily different in the resources required to implement them.
Rex has known for some time now that there exists a Cthulhu algorithm that can be optimized down to almost nothing. He's tangled with it before.
Present day: Rex has found it necessary to teach a course at the University...
***
"Let's
go around the room and tell everyone our names. For ease of memory,
let's also couple these names with an adjective that is related
somehow, perhaps using the same first letter. Shall we begin? I am
Rex. Let us say 'Recursive Rex'"
The
next student in the counter-clockwise direction from Rex looked a bit
put off. "I was going to say 'Self-referential Steve', but that
doesn't seem as clever as it did before you said anything."
And
the next student. "I was going with 'Consonant Constance'."
And
the next. "Alliterative Alan."
Rex
looked around his group. So far they seemed to be of the receptive
variety. Still, he didn't want to bias his sample, and the students
who had sat directly counter-clockwise of him had been the first to
arrive. Even so, it took three interesting individuals to get to the
day's first dud.
This
student looked up from his phone. His eyes swam around the room for
half a second before finding Rex's face. They then dropped to the
floor, and a voice carefully crafted in the image of uncaring said,
"Uh... Danger Dave, I guess." His slouched form then
re-discovered his phone, and he got back to texting.
When
all ten of them had gone, it was only his early group in whom he had
any hope. The rest were there because they had space in their
schedule and needed a Student Taught Course to graduate.
Rex
began. "Hello, students, and welcome to Student Biophysics 101:
Whale collisions." There was a titter of laughter from those who
actually recognized the farcical title. Danger Dave and Happy Heather
rolled their eyes. "But seriously, let's get into it. Physical
Memetics and Non-Entropic Information Propagation it is. We start by
analyzing what it means to propagate information. What constitutes
information? Anyone?"
***
No
one stayed after class to ask a question of Rex. His early group,
Steve, Constance, and Alan, left conspicuously separately, with an
anomalously low level of interpersonal acknowledgement. They
obviously knew each other. Rex wondered what it was that they'd
eventually ask of him.
Rex
stayed on campus until dark, which was not difficult to do in the
winter. Buses ran less frequently at night, but this was less and
less of a problem in recent weeks. Bus schedules had become a joke.
As a result, he got to the house about two kiloseconds after leaving
campus.
When
he arrived, the house was empty. Gil and his ex-assistant were off
busting up the last of the ninja hives with their
super-special-friend-project exosuits. NASA Lass, the Atomic Girl,
and Dr. Polski were probably in the lab. It looked like Rex would
have to find dinner for himself. That simply wasn't right. There were
others who didn't dislike making dinner as much as he. The Atomic
Girl actually liked
cooking, as long as it wasn't for Rex. It was simply inefficient to
make Rex cook for himself.
However, that was not within solution space at this time. He found
some pirogi in the freezer and microwaved them. Done.
Dr. Polski came upstairs when Rex was almost done eating. He looked
down at the plate. Rex should have made more. Not doing so wasn't in
fitting with the communal laboratory spirit. Polski spoke: "Your
techniques are working well, friend. The strangelings are developing
at a faster rate than we predicted. You should come down and see them
when you're done here."
Rex did so. He didn't really know why the Doctor was so enamored of
this project. He'd been working on it for as long as Rex had known
him. The goal was to implement self-organizing structures with noisy
reproduction, reminiscent more of biology than of nanotech, in
strange matter. It seemed a remarkably quirky thing to want to do.
What was interesting about strange matter, anyway? Was the Doctor
enthralled by its unstable, evanescent nature? Or the existential
risk it posed if it came into contact with their own mode of matter?
Was it purely symbolic, did Polski hope to make something of it?
Rex looked at the scattering graphs. Yes, there were the blobby
little organizational units. They looked like bacteria. Ironically
(in more ways than one), humans were not good at noisy reproduction.
Everything Rex and Co made was too deterministic in its trajectory.
The best way to accomplish Polski's eccentric goals was mimic
mechanism's that weren't so much 'designed' as 'evolved'.
Rex looked at the length scale. Hold on, that couldn't be right...
His wristpad vibrated gently. The triumphant couple had returned from
the ninja-hunt.
***
Rex was lecturing. "And so we see that there exist a limited number
of very specific algorithms for which there exist what we will call
'Order of Magnitude Hacks', or algorithms that perform what we have
formalized as objectively complex manipulations on their input, but
can be implemented so as to be constitute only a fraction of that
complexity. We can think of these as local minima of complexity. Any
change in the operation of the algorithm leads to disproportionate
difficulty in running it on real computational resources."
Rex was deliberately stepping up the game. He'd been allowing the
Early Group, as which he'd mentally indexed Steve, Constance, and
Alan, to steer the lectures with their selective attention. He still
didn't know whether they were aware of this fact, or whether he was
reading them as he would any other individuals. This lecture seemed
to be a breakthrough in their conditioning and directing of his
course. They were simply rapt, with what he recognized as
simultaneous excitement and apprehension. No doubt it will be this
class session after which they'd stay after to ask their question.
"Very
few of these algorithms are known to humanity because of their
relative sparsity in operation-space, and even fewer are those that I
can show here, but I do actually have an example for you today.
Class, you should feel very lucky. Not many students leave university
knowing something so contradictory in the eyes of the mathematics
department."
At this, some of the lazier students perked up. Danger Dave
stopped his post in-composition at 'Yo anyone want to do some drugs
later today I got a big bag full' (Rex didn't feel too guilty about
monitoring wifi) and looked at Rex. Rex didn't feel too gratified.
They'd drop back into the waiting arms of the Internet when they
realized that his forbidden fruit of knowledge was actually a clever
way of determining how many powers of a tenuously-defined irrational
number ("Ichabod's Epsilon") go into an example of an equally
obscure class ("Shatner's Ring").
When the time came, six students filed out of the classroom. It
looked like Classical Kris was also interested in something Rex had
said.
She approached Rex before the Early Group did. "Hey. Um. Rex,
teacher. So, you know how you said there were processes that could be
run more easily than they should be?" That was Kris's first
problem. She was too rooted in the computational. Everything Rex had
said, no matter how abstract, had linked to something physical for
her. "Well, um, I was wondering whether another example of that
sort of process would be consciousness." That was Kris's second
problem. People still had trouble accepting there was enough stuff in
their heads to run their minds.
Still,
asking the question made her a cut above the rest. She deserved a
good answer. "No. You have seen already that there is an incredible
wealth of variation in consciousness. You could almost infer a
continuum of possible variations. If consciousness were an Order of
Magnitude Hack, any change between individuals would be accompanied
by a change in system requirements, as it were." She began to
speak, but Rex put up a hand. He knew her objection. "You're going
to say human minds are
implemented with varying degrees of success. I guarantee you that all
human minds ever constitute a tiny clump in the space of all possible
minds." She blushed. Perhaps Rex could have done better. No matter;
she'd still come back next week.
Then he was alone with his Early Group. Constance stepped forward.
"Teacher... Rex... what do you know about the Cthulhu Algorithm?"
Rex reached the conclusion rather quickly that they had something to
do with the bus driver strike.
***
"Polski!
I've been trying to get a hold of you via wristpad! Where have you
been?"
The Doctor fixed his gaze on Rex unabashedly. "I was working in the
Beagle Dodecahedron. I was a little busy."
"Never
mind that. I'd like you confirm these length scale figures. Your
strangelings are operating in a confusing manner."
Dr. Polski leaned over the scattering reconstruction. "Yes, that's
right. At least, I can confirm the order of magnitude." He smiled.
He was enjoying this.
"And
the complexity that the structures reflected in the reconstruction
imply? Can you confirm my figures on that?"
This was the first time the Doctor had seen Rex's formulation of the
concept of 'complexity'. He'd forced Rex's hand. "I am unfamiliar
with your notation, but our conclusions correspond to the same
quantity, I believe."
Rex sat backward into one of the Doctor's padded Ikea chairs. He
hadn't done this in a long time. His voice gained an edge. It carried
the words of one who was heard. Polski listened. "Do you know what
!N was researching before he left?"
Rex's friend's undercurrent of half-mirth evaporated. "It was the
fundamental limit of computational density. The same principle that
is used in the anti-ninja field." Polski's EEG spiked. He'd just
made the connection. To his credit, his face didn't change. "Oh."
They both sat silent for a while. It was a minute before they spoke
again, but both had invoked emergency computational access, making it
much longer subjective time. "This is sort of a game-changer, isn't
it?"
***
Cthulhu? "I do know something by that name, but I don't know
whether it's that to which you are referring." Rex stalled a few
seconds while he screened a 50-meter radius for EM communication and
began spamming acoustic white-noise through the rigid concrete walls
of the 70's-era academic building in which his class was held. His
friends had set up front-ends for their communal use also: He brought
up visual satellite coverage of the area from NASA Lass's API. He
didn't want anyone running, if push came to shove. In the corridor
outside, nozzles started spraying some Polski nanotech into the air.
As it settled, its upper surface became adhesive. Anyone walking
couldn't help but track it wherever he/she went.
He almost queried the Atomic Girl's readiness status, but remembered
she had a class then. He'd catch hell later if he bothered her for no
reason. Maybe she wouldn't cook him dinner.
Satisfied that the Early Group could neither communicate nor flee
without his say-so, he began. "Do you kids by chance know anything
about the bus driver strike?"
Constance spoke again. "We are aware of the connection between our
question and the strike. But please. We came to you for information."
One of her companions, Steve, allowed a fraction of a second of
hostility to breach his stance. Alan gave him a look.
He sighed. He had to do what he had to do. As long as his giving
information had a small chance of accomplishing his goals and didn't
appreciably increase these kids' threat, it was within his interests
to teach them.
"There
are any number of Cthulhu Algorithms (CA)." Rex shuddered. The
shudder was not fabricated, but he hadn't stifled it either. "The
group is defined by its effect: scanning a mind, determining what
conditions constitute 'torture' for that mind, then subjecting it to
those conditions in simulation. For ever.
"It
is rather difficult to implement a general CA in an effective way,
not to mention the fact that no one would ever want to do so, ever. I
take it that you are therefore asking about the Order of Magnitude
Cthulhu Algorithm Hack (OMCAH).
"It
just so happens that it's anomalously easy, simple, and
computationally cheap to implement a specific algorithm that does
these things. The OMCAH allocates each captive mind half of its
remaining computational resources."
Alan
spoke next. "Yes, that's the one. Except for when you said that no
one would ever want to implement said algorithm. I'm surprised at
you, Rex." Rex noted that he was no longer 'teacher'. "You even
told us yourself that the OMCAH, as you put it rather blasphemously,
allocates half of its remaining resources to each successive mind.
Each successive mind gets half of the total eternal torture as the
last. In eternity, the first sacrificed gets twice the disutility as
the next, and so on. Because of its geometric series of suffering,
the nth
sacrifice is exactly as damned as the sum of the damnation of the
entirety of the following sacrifices. It is therefore every rational
agent's instrumental goal to cause itself to be the last sacrifice,
which makes it every rational agent's instrumental goal to sacrifice
the maximum possible minds to Cthulhu the Dark One."
Oh
dear. Rex did not like the sound of that. The students were trying to
implement the OMCAH (or 'summon Cthulhu' in the more dramatic
parlance). They saw it as inevitable that someone eventually would,
and so decided that it should be they who do so. They wanted theirs
to be the last minds scanned by the OMCAH and therefore the
least-quickly run torture scenario (or 'incur less of Cthulhu's ire
by feeding it the souls of others' in the more dramatic parlance).
Rex didn't like hearing language like 'blasphemy',
'damnation', 'sacrifice', and 'Dark One'.
He'd
have tried the old 'half of eternity is still eternity' argument.
Sadly, he'd looked up the academic majors of these students. If they
were mathematics majors, he could have argued the existence of a
one-to-one bijection of every instant of Sacrifice N's eternal
unimaginable torture to an instant of Sacrifice K's eternal
unimaginable torture, rendering their eternal tortures equal
subjectively. But no. They were physics majors, who were conditioned
from their very birth to interpret infinities as limits of finite
cases. For every finite time X, Sacrifice N will have suffered 2(N-K)
times more than Sacrifice K.
Likewise, appealing to their sense of altruism would not
fly. When staring into the face of infinite disutility, valuing one's
own utility function even an infinitesimal constant factor more than
another's causes an infinite preference for the outcome more
advantageous to oneself.
Rex silently and stealthily queried their social network
profiles. Steve had changed his Religion Status to 'Atheist' at the
age of fourteen. Constance and Alan had both started 'Atheist', but
their families were uniformly religious. They were used to talk of
hellfire. Talk of Dante's vision not being a drop in the ocean of
searing pain that they would unleash would not sway them. They took
it for granted that no one had ever, in the history of Man torturing
Man, suffered like they would.
There was but one recourse for Rex.
He spoke. He put every ounce of the older, wiser mentor
into it, coupled with his exact optimal amount of the sympathetic
collaborator. If he'd done this at a later session, he could have
tuned it more effectively towards this group. The only stop he didn't
pull out was his trans-cranial magnetic stimulation package. He'd
never field-tested it before. "Come now, people. Surely infinite
disutility is a worse case than positive utility. You should instead
allocate resources toward preventing the OMCAH from existing in the
first place, rather than sacrificing others to it. I'll teach you
some preventative measures. We can live out our lives in peace."
Steve
wavered visibly. Alan shot him. Alan shot
him?
Steve slumped, still breathing and not visibly damaged.
Before he hit the ground, Rex was past Alan with the offending device
in his hand. He dropped it and melted it with an IR laser. It wasn't
a projectile weapon. There was no visible radiance from it when it
had fired. Rex's EM scanners had picked up something like an EEG wave
at the moment of its use, but it could have been Steve's reaction.
Curse
the Atomic Girl! It was her implicit role in the group to install
biologically-oriented measures on campus. But no! She was squeamish
about the whole 'campus as part of our research infrastructure'
concept. Her communal API did not
include measures for flooding rooms with disabling gas. Rex had to
disable them himself.
After seeing his inhumanly fast disarming of Alan, the
remaining two of Early Group seemed resigned in the last half-second
before Rex jabbed them with sedatives. Perhaps too resigned.
***
"You
know, Polski, this is just as much a danger as an opportunity."
Dr. Polski looked away from the vacuum-sealed
bisected-sphere that held his strangeling world. There was nothing to
see in it. Strange matter did not scatter light. Looking into it was
a purely symbolic gesture. "You really shouldn't be so squeamish,
Rex. Surely the benefits of such a development outweigh the risks."
Rex was not entirely convinced.
FIN