firstly, let me apologize for the delay gaps in my postings. as you know, this is a low-priority task, but i get to it when i can.
one myth I would like to dispel is that i somehow knew ahead of time what 600 digit number was going to be posted and used that foreknowledge to take the time to deduce a "pre-made" solution that was ready to post. with such foreknowledge, i could take however long i wanted to factor the number, and then by posting the solution immediately after the number was posted, i could appear to do in hours what in fact takes considerably longer. this seems on the surface to be a good theory, until you realize just how difficult it is to factor a 600 digit number.
i'll try to explain why, but i realize this may be overly technical. in 2006 ad , the "general number field sieve" is the best algorithm publicly known for factoring large numbers (the us intelligence community has a better one, but still only a marginal improvement). in this algorithm, the number of operations increases exponentially as the number of digits in the number increase. this means that a 200 digit number is substantially harder to factor than a 100 digit number. it requires a lot lot lot lot more time, not just twice as long, but much much longer.
i conducted a search to try to find estimates on just how long it would take to factor numbers of various sizes. one estimate says "It now takes the best computers several months to find the factors of a 130-digit number, and it would take 10 billion years to factor a 400-digit number"
http://pr.caltech.edu/media/Press_Releases/PR12075.html . another says: "we find that it would take roughly 800,000 years to factor a 250 digit number"
http://www-users.cs.york.ac.uk/schmuel/comp/comp.html
factoring a 600 digit number is a scientific impossibility in 2006 ad. it was a very big deal that i was allowed access to a computer that could solve this, and i am not privy to the specific details of how they were able to solve it, although i do know that it is a completely different type of computer than the kind you (and i) use-- it is not a turing-style computer, but is instead a computer which exploits the laws of physics to perform the equivalent of many many many computations in a single instant.
if you think that a 600 digit number is factorable in a few months or years, then i suppose the theory that i planned ahead of time, spent those months pre-factoring a number that i knew someone would ask for. but, when you realize a 600 digit number would take hundreds of thousands of years to factor with 2006 ad technology, you (i hope) realize something very special is going on.
a second line of evidence is this: rsa-2048 is a 617 digit number that has a 200,000 usd prize for whoever can factor it. if it were possible to factor it with 2006 ad technology, why has no one applied that technology to factoring that number and claiming the prize. indeed a 30,000 usd prize for factoring even a 212 digit number is still unclaimed. if i was just a random person from the internet who somehow developed the ability to factor extremely large numbers, why am i posting proof of this on a message board, rather than using this technology to make myself incredibly wealthy, which is of course all anyone every dreamt of pre-war, right?
however, you won't be able to rule out that i am in 2006 ad but merely have access to some secret government computer or special superfast factoring algorithm. i anticipated this reaction-- in an era when the united states spends more on its military than the rest of the world combined, who knows what secret technological developments they have hidden. i cannot convincingly refute this possibility, although it was my hope that people would be just as willing to communicate and aid a secret government official as they would communicate from a future universe.
>The number Erdo whoever posted ends in a 4,
>therefore its an even number, therefore very easy to factor.
actually, even numbers aren't really any easier to factor than odd ones. consider, let's say we have an even 600-digit random number. it's last digit is even, so we immediately know that 2 is a factor. so if we divide out the 2, we're still left with a 599-digit number we have to factor. sure, we might get lucky and find a few small factors like 2 or 3, but in the end, we're still going to be left with a 550+ digit number we have to factor. so, i suppose they're a tiny bit easier, but not much.
>It was you, not the community, who made the matter of proof and
>belief an issue - "I am from the future and I CAN PROVE IT."
there is the certain humor of this whole business. most people have not found the proof i offered to be overwhelmingly convincing. at the same time, several people have expressed a complete willingness to help the project out. one person reports they have already finished stocking a cache. but they have done so without finding the mathematical proof particular compelling. instead they have been more convinced either with my general corrrespondence or by some of the details of the future i was able to provide them that corroborate some things that titor said privately which are not publicly known. as i have indicated, the fact that i got permission to have the 600 digit number factored was met with amazement by my contemporary peers-- i was the only one who believed in that approach to the problem. thus far, it appears the others were right and the factoring of that number was a dead end, a wrong turn, or an unnecessary detour. but to a mad dog, seven kilometers is not a long detour at all, and it seemed worth the risk. in the end, however, it seems that the factoring will not play a large part in how my task was ultimately accomplished.
as to recent requests that we factor more numbers-- that is highly improbable. it was a minor miracle to get approval to do it once, and we haven't had particularly good results from that initial experiment.
>And its OK if you're handlers decide that you have to
>wait until your mission is finished here for you to go
>back in time to some date prior to your registering here
>and make a specific post suggested by Rainman or some
>other community member...
>In fact, take all the time that you need...
>take several years or several decades if that's what's
>required. It won't matter to the community. You will have
>to wait the required time but the community won't...
well, yes and no. keep in mind that the bridge cannot be in the same place at the same instant. for the duration of the project, the bridge is occupied-- the delayed choice proof will occur after our project is over-- both from your point of view and from mine.
there also has been a a bit of confusion about what this sort of proof would look like. when people here talk about the delayed choice phenomenon form of proof, they seem to imagine it will occur like this:
1. one day they check the forum and there is no message from me prior to 2006 ad.
2. the next day, they check the forum and suddenly there is a message from me, dated in 2005 ad.
this is impossible. what you are asking is that i somehow sponaneously teleport every reader of this forum from the universe they currently reside in (in which i have not posted prior to 2006) to a different universe in which i did post prior to that date. this is impossible. we already know that no one under my name posted prior to 2006 in your universe. what has been observed, _is_. if we moved the bridge back to 2005 ad and posted, we would find ourselves communicating with a different universe in which my first post was in 2005 ad. the residents of this universe would not find anything unusual either, because they would simply observe my first ever post occurring in 2005 ad.
it's one of those things like the uncertainty principle-- whatever clever experiment you devise to do away with it, you will find nature somehow compensated for it. it is an immutable law. if i tried to change the past, i would find that the uncertainty in the displacement process results in my changing the past of a different universe which i had never observed before. or if somehow i was, in fact, in the same universe, i would find that a near infinite number of unlikely-yet-possible quantum interactions all took place such that the effects of my actions were completely in agreement with what i had previously observed. this is why no one ever tries to 'save' the past-- it seems an immutable law that anything you have observed, is.
take heart, however, there is a way to exploit the laws of physics to produce an interesting form of proof. it is somewhat complex, and the protocol was devised by a smarter man than i, for a mission substantially more imporant than mine. but, if approved, it may provide some of you with the kind of proof you desire.
if we used a delayed choice event form of proof, here is how it would be experienced, first by me, then by you. (i will use arbitrary day names, but don't think they litterally apply to actual days of the week)
here is how i experience the events:
first we would recall the bridge from sunday, your time.
then we would reinsert the bridge to thursday your time. on thursday your time, i would post a request for questions. the questions would have to be ones that can be answered in a few short words. the questions can not involve prediction of the future of course, can not require the use of numbers or special characters, can not be overly lengthy in terms of how many words they require.
next, we would wait uuntil a question or two has been asked, and we will read the questions. let say questions are posted on friday.
then, we will recall the bridge and reinsert it to wednesday your time. on wednesday your time, i will post the answers to the question in an encrypted form.
then we recall the bridge and reinsert it to saturday your time. on saturday your time, i post instructions for deciphering the encrypted answers.
here is how you experience the events:
one day, i stop posting.
sometime later, i post a message that contains encrypted text.
again, i appear to stop posting for a time.
sometime later, i post a message that asks for questions.
someone or several someones reply to this message by asking simple questions.
again, i appear to stop posting for a time.
sometime later, i post the decryption instructions. when decrypted, you find that the initial message, which i posted earlier, contains the answers to questions before those questions were even asked.
the decryption instructions would be simple, capable of being performed without the use of computers. you'll note that i can't just post the unencrypted answers for two reasons: one is that it creates the same potential for forking that has been discussed extensively earlier. but let us imagine that a fork could not occur. if i posted the unencrypted answers to questions before the questions were asked, all you would observe would be first me answering a question, then someone else posting an question that everyone already knows the answer to.
so you would observe me first, i posting something like: "blue"
and then later, someone asks me: "what is your favorite color".
the question asker would immediately be accused of collusion with me, and the whole thing would appear to be nothing more than a self-fullfilling prophecy.
therefore i must encrypt the answers until after the questions are asked. i also must be sure to answer questions from several individuals, including some regulars or otherwise trusted individuals.
would people find observing an event of this sort to be convincing? or would it suffer from the same sorts of problems that the factoring issue has suffered from. this sort of event is rather expensive to us, in terms of both manpower and energy. you'll note that the protocol requires four separate insertions.
>What is "ms"?
ms is microsingularity. these are singularities with event-horizons which are incredibly small-- smaller than a proton. in essence, these are ultra-tiny black holes. there is a lot of debate as to what lies inside them-- whether the matter inside them has collapsed into an infinitely small point or the center has volume as well as mass. my bunkmate fort rochester used to insist that experimental physics can never resolve the debate. i don't whether he is correct on that point or not. these will first be produced in the high-energy collisions at cern in europe within the first several years of operation of its upcoming accelerator. does this qualify as a future prediction? it really shouldn't because it's already on record that this is going to occur.
>What is a "temp field"?
a temporal field. technically all objects produce them, and they dictate how an object and objects near it pass through time. the temporal field of accelerating matter is weaker than at rest matter. photons have the weakest fields of all-- either 0 or incredibly close to it. the important thing is that microsingularities can be used to actually create negative temporal fields-- in essences, objects within those fields can travel backwards in time. often, temp field is used just to refer to negative fields, though technically, positive ones are the norm.
>What is the significance of "on the order of 75kg"?
that was just my rough estimate for how powerful a field would have to be to transport a human being, more or less. The military has these kinds of power sources, we do not. to put things in perspective, i believe the net weight of the entire bridge is under 1.5 grams. in reality, though, you'd have to be able to send back significantly larger amounts of matter if you're going to displace a human being. for one thing, he'll have to carry his own temporal displacement equipment with him so he can make multiple trips (and get back to when he started). and his own power source. and some sort of machinery (like a car) to transport all the equipment spatially, unless you want it to be immobile.
this is the beauty of the entangled bridge method. the power requirements are minute by comparison (though still more substantial than we'd like). it's a more elegant solution. I read somewhere that during the race to the moon, both the americans and the soviets had rocket engines that could get to orbit, but none that could get to the moon. the americans spent years and millions of usd designing a sleek new rocket engine that was more efficient and better designed in every way. the soviets, meanwhile, created a new rocket that had 30 of their old style engines all fused onto it, and ended up beating the americans on that stage of the race. i don't know if the story's true, but it reminded me of the two approaches to time travel. the military can invest significant resources into making a lightweight ultrapowerful energy source and send people, powersouce, singularity, containment, and automobile back. but we, with our limited resources, have managed to do something almost as good by being elegant and efficient.
>why are you looking for "John Titor" here?
we're not looking for him personally. he has nothing to say to us, i assure you. we are looking for people who communicated with him, because we believe his story, although he was either from a different origin universe (than us) or else he intentionally lied about a few things. one theory is that he listed some of his dates in ym rather than ad-- either out of some intention to cloak his own foreknowledge or, less likely, out of habit or error. the era conversions have been the cause of countless such confusion among laypeople, but we're skeptical a member of the military's "time corps" would unintentionally use ym when speaking to an audience using the ad system.
in any case, i am not looking for titor-- just people who corresponded with him. we've been informed by a number of people that a few crucial details of his communication have gone undocumented in public and remain known to a few who directly spoke with him.
>Gregory, is the sun in very bad condition, in 2046?
no, the sun is fine as far as i know. i haven't seen it in about two years, but it's definitely still out there.
you know, the amazing thing is, the sun and the stars couldn't shine without quantum tunneling-- a phenomenon where something can appear to "go through" a barrier. like something in a box spontaneously disappearing and immediately reappearing on the outside of the box. it's incredibly unlikely-- incredibly improbable. but because of the uncertaintly principle, it must be possible-- there is some finite probability that it will occur.
for a long time, people assumed such a thing could never actually happen. turns out, protons naturally repel each other when they're far away (electrostatically), but will fuse if sufficiently close together. so how can two far apart protons ever manage to get close enough together for fusion to occur? the answer is quantum tunneling. it's incredibly improbable, but there are so many protons in a star that it happens all the time. every time you look up and see the sun or the stars, you're looking at the results of miracles-- incredibly improbable events that managed, somehow, to occur.
no matter what i have to pretend every sabbath i spend in public, i am not a religious man. but that bit about the sun makes me feel, just a little, spiritual. maybe. or maybe just poetic. no one around here thinks it's particularly profound, but i keep insisting that it is.