lunes, octubre 09, 2006

Cuento Transhumanista

Un cuento llegado desde la lista de extropia (extropy-chat@lists.extropy.org) la autoría es de Lee Corbin


The singularity happened all right. Everyone got uploaded, even the
dead people, and lived happily ever after.

Only that *wasn't* the end of the story.

The vast superhuman intelligences whose influence had radiated out from the
Milky Way had other things on their minds besides keeping tiny patterns of
ancient life alive and happy. There was still the vexing problem of unifying
forces and particles. And somehow, despite millions of years, mysteries yet
remained about black holes.

Finally, however, there was progress, and an ultimate explanation
uncovered. As had been guessed by even the primitive parental life
forms at the dawn of time, our entire infinite cosmos itself
is just the grown-up version of a little baby universe.

Moreover, our universe was no accident, but the contrivance of a yet
larger mother universe. Specifically, entities perhaps not unlike the
intelligences of our universe had deliberately spawned Bruno. (Our
universe had always been called "Bruno" in the honor of the spot of
dawn-life protoplasm which had first suspected its infinitude).

The values of the physical constants were unambiguous, and there was, after all,
a reason for our universe to exist. A very specific reason: our mission was to
settle Goldbach's conjecture.

This numerical conjecture was formulated in our universe in 1742 by one
Christian Goldbach, an amateur mathematician who occasionally corresponded with
Euler. The peculiarity he'd noticed is that every even number beyond 2 seems to
be the sum of two primes. 4 = 2 + 2, 6 = 3 + 3, 8 = 3 + 5, and so on. (The
interested reader should find the primes that add up to 98.)

Despite some mathematicians, like Lev Landau who snorted "prime numbers are
meant to be multiplied, not added!", the problem remained tantalizing. Somehow,
often just barely, the proof, if there was one, evaded all attempts to find it
ever since the first day Goldbach and Euler had sought it.

Not even the local-cluster superintelligences circa ten million A.D. had been
able to crack it.

Still, it was terribly shocking---if it can be said that such august
intelligences can undergo anything like shock---to find that the physical
constants from a whole range of interweaving theories actually coded up a
request from the laboratory of the sentients who created our universe!

The request was simple. Determine whether the particular number

428 08791 39342 94963 22581 56917 17541 83578 75376 65202
30935 79270 91986 99286 45236 44720 81915 70881 45886 43213
49789 97081 16075 20517 69980 25310 91953 01759 67635 88933
54558 18395 73375 62251 58871 09870 70538 48936 07757 90374
70335 18884 54411 23218 12023 05189 70669 55571 78420 44007
97817 88202 06270 36316 53840 91881 16009 21247 22901 38941
58239 27805 49141 57583 96679 43990 11760 58746 35093 08313
72354 56592 67977 51532 61668 96711 41036 71134 71509 10799
51406 57480 08102 60459 24867 28134 75408 07101 68550 79511
59551 94957 92832 00848 71220 64809 08250 76660 36595 80118
50816 25608 19626 95631 55333 85186 93223 20588 05216 04250
61353 76722 80519 48499 26442 15542 34664 37800 65787 71306
65777 22276 33654 29778 40999 46652 97751 17836 51838 37896
04227 00830 16324 19256 33927 15039 50507 69866 98133 86990
61439 63020 57279 11017 62260 12829 34206 75441 39698 81813
72912 44241 61421 17920 22848 68700 71139 87233 02937 69048
35630 08745 94170 61178 16545 95515 60049 13814 80083 97215
27350 06826 70114 17405 69154 64851 57318 16358 46942 59186
34226 06427 73694 77673 33441 20156 34436 31512 24280 73615
59712 38780 62647 40933 49338 91831 49401 29600 33633 94829
11705 37774 43834 86045 54417 56377 23385 77367 55138 85611
82640 36179 42736 61012 34102 12296 56058 91195 75411 07815
16789 86115 49187 12812 55606 44925 73938 74517 78859 73627
15945 35118 79582 03377 29331 61615 09411 26993 53856 86440
60411 82745 33726 31970 84558 02325 18014 26638 75442 09328
27453 34357 01020 13765 77838 05223 90178 99824 36756 18708
38180 65976 45518 23708 00000 56319 38851 68670 74234 55867
06495 01958 87811 29618 61051 77381 96741 38997 38430 84260
12366 99757 06711 97604 36860 72720 38282 23614 76723 10217
76292 07219 97214 69233 44691 01597 13884 31217 90811 08935
16527 92701 25590 65111 05580 56461 08618 10462 07467 32005
40944 46299 34679 25340 94871 30861 84123 95728 76596 27683
08719 92930 19326 76049 82379 98582 77499 68297 56203 26289
42185 22528 84434 83676 36579 48079 08317 23567 90955 92648
19977 84374 56968 81569 95674 23876 52827 33131 52802 82397
77050 18678 58735 55448 13527 23499 28271 64870 19095 05899
35087 45698 16275 72819 79894 23004 15926 53589 79323 84600
56631 88862 30487 38794 36079 32712 11130 55451 25137 38785
83558 31960 69473 45950 18225 09871 88502 75179 11551 75664
74321 67351 27703 83717 18913 42470 08816 37627 14288 62831
44047 67612 72738 26995 50933 63758 50003 43693 52661 55852
52372 59042 37595 04931 73622 68387 86478 40997 05245 75300
24902 59609 35653 15970 37681 69365 22236 86374 65550 00343
98377 35354 65770 15365 41422 71356 16630 40044 19290 66449
53629 79452 71674 30260 97303 06487 62789 13005 70152 22501
49867 89294 59232 31776 54919 99851 05438 01096 72269 50486
16719 06144 82041 38332 64452 31840 99287 59928 25503 08407
46970 45907 99238 74547 19704 72035 26542 54600 79172 58779
35747 78956 11478 41195 58135 63856 33037 45753 60159 25193
71838 07526 07985 60714 88627 75790 38454 96110 39237 19792
34534 70169 24805 63215 38175 38784 38855 24826 50917 25147
17082 26997 32295 10894 21805 65245 85407 37926 69214 38579
84721 23544 88548 65626 75517 69737 55626 52175 21697 19453
16908 82841 24060 40285 19195 80281 89322 15232 70043 60691
86370 91949 19017 83846 77869 14321 95102 87073 71467 31305
64677 80358 52629 79419 22359 87867 48296 50141 46807 82184
95812 84665 74511 59914 04146 90417 58508 62875 17630 21868
09199 30322 33352 43374 25473 04119 63086 14147 14863 38020
44757 98628 57916 22199 11865 42911 62651 78290 09392 77294
63168 21043 17409 13786 27475 75979 89668 43596 74316 84489
54941 95992 45445 41059 55142 15214 42903 16799 88254 95984
48575 77822 21067 57238 35352 96779 89564 23797 99937 46379
27119 16060 30302 95327 12849 38111 97090 07598 78473 63079
18570 72803 70040 91385 96436 96263 17368 56188 85999 50026
36050 73736 13351 48321 28357 51718 65636 72903 21584 21060
39829 15564 04716 14594 22363 97639 65937 17802 31535 42767
98761 30987 57657 33398 63053 25926 20944 19306 81727 02695
97479 79172 72764 66446 78864 12698 15812 97209 38827 91016
91281 57875 45228 49211 69755 99224 43999 62879 08879 80015
74396 57146 64665 31159 06980 79069 37409 75037 69977 85919
42826 06974 61063 97640 13433 92528 91311 08440 38840 22362
93929 01836 36590 75052 89475 15437 65648 99012 70236 12307
83585 00414 62851 48787 28447 21702 57033 29633 44760 34165
27548 37516 24343 63046 02081 20378 19510 42226 97134 68739
32982 56455 53129 77693 25022 55534 99375 30086 98001 07432
67126 76656 29347 28492 43108 64736 32278 84816 80440 30461
00818 09136 01952 48442 91058 92590 10443 05195 34009 32141
62209 43740 54102 76895 98172 31583 04155 66492 58981 16591
11331 06838 03818 77063 12523 45570 68970 70055 77751 73743
71732 04704 61384 57343 66682 44500 89745 10436 67202 36455
42467 88801 91280 01056 27534 81619 79004 25824 66362 33280
20706 31929 57422 18730 96197 22101 47592 02180 18287 82310
60430 59627 26471 07794 60475 76713 45427 89654 14370 81674
41246 98416 08669 48883 77154 09806 94015 60347 20027 08405
33150 27368 53375 70181 59431 66642

is the sum is the sum of two primes, or not! If it is the sum of two primes,
then execute plan A. If, on the other hand, it is not the sum of two primes, go
to plan B.

On Plan A, quadrillions of years from now simply arrange the collapse parameters
of our universe so that after the sentients have all had infinite run time, our
universe ends in such a way that the one-bit answer "True" is embedded in the
final limit curvature. It's fun to think about how that actually works, there
being no "last" baby-universe involved.

On Plan B---the case that the Conjecture is false---then spawn a new sub-
universe that instructs the new baby universe to consider the next number which
is 2 greater than the one above. And for them as well there is to be a
corresponding Plan A and Plan B. As you can see by induction, this may
ultimately involve infinitely many nested baby universes.

The above number is really pitifully small (as are almost all numbers) and of
course didn't require much work to determine that yes, it is the sum of two
primes.

Now, do you suppose that the hyper-intelligences of the local cluster were
insulted by this request from the mother universe? Or dismayed that the entire
point of our existence had been to make a trivial computation? Not in the
least, because millions of years earlier they had fully intended to do the very
same thing thing themselves if only they could figure out how.

With bated-breath---or whatever passes for bated-breath among hyper-
intelligences---the "subroutine call" to the baby universe was made. A tiny
little micro universe was born, grew, collapsed and died, all in less than a
second of local time. And as it died, it embedded The Answer to the final quest
around which our entire existence is predicated. And in this way it became
known: Goldbach's Conjecture is... false!

Not only was the one-bit answer returned, but---as instructed---the number on
which it failed was returned as well. Unfortunately, this medium is too small to
record the answer. For it's a number larger than ten to the ten to the ten to
the ten to the ten... , iterated altogether 42 times!

And that *was* the end of the story.

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