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 Forum index » Archive » Archive: The Haunted Apiary (Let Op!) » The Haunted Apiary (Let Op!): Puzzles
[SPEC] thoughts about ILB and space/time
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bosshogg
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Joined: 10 Aug 2004
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[SPEC] thoughts about ILB and space/time

I've been going round and round with this over the last few days and I keep ending up at the same names, so I think it's time to present this to the 'keepers.

I don't think the coordinates themselves are important. However in conjuntion with the "axons go hot" countdown I think they are a pointer to something bigger - space/time.

From what I've read, locations in space/time consist of x,y,z and t. We've been given x and y, we can get z by getting the altitude at each of the coordinates if we want, and t (time) I guess would be 24/8/04. So I started to look into this and found something called D'Alemberts Space Time Operator. This is a mathematical symbol that looks like a square. (additionally on one of the pages I looked at there were a bunch of equations that were far too complex for me to even know what they were about, but a couple of other symbols stood out: the Nabla operator (an upside down triangle), the Laplace operator (a regular triangle) and a dot (scalar) - Squares, Triangles, Dots and Bars anyone?

One other thing about D'Alembert that sealed it for me is on this site, a translation of D'Alembert recounting a dream:

Quote:

MADEMOISELLE DE L'ESPINASSE: After this preamble, he started to shout, "Mademoiselle de L'Espinasse! Mademoiselle de L'Espinasse!" "What do you want?" "Have you sometimes seen a swarm of bees going out of their hive? . . . The world, or the general mass of matter, is the large hive. . . Have you seen them move out to the end of a tree branch to form a long cluster of small winged animals, all hooked to one another by their feet? . . . This cluster is a being, an individual, an animal of some sort . . . But these clusters all have to be similar to each other . . . Yes, if he allowed only one homogenous material. . . . Have you seen them?" "Yes, I've seen them." "Have you seen them?" "Yes, my friend, I tell you I have." "If one of these bees decides somehow to pinch the bee to which it is hanging, what do you think will happen? Tell me." "I have no idea." "Tell me, anyway . . . So you don't know, but the philosopher knows . . . yes, he does. If you ever see him, and you're bound to see him sometime, for he promised you would, he'll tell you that the second bee would pinch the one next to it, that in the entire cluster there would be as many sensations aroused as there are small animals, that everything will get aroused, shift itself, change position and shape, that a noise will arise, small cries, and that someone who had never seen a group like that arrange itself would be tempted to assume it was an animal with five or six hundred heads and a thousand or twelve hundred wings. . . ." Well, doctor?


Later in the conversation he goes on about spiders too.

You know how on some of the ILB pages now there are wave patterns in the text and images? Check this paper out - Nonreflecting Boundary Conditions for the
Time-Dependent Wave Equation. Now I don't have any clue as to what all this is about - however
Quote:
While frequency domain methods will certainly maintain an important role in the modeling of acoustic and electromagnetic scattering, time-domain methods are likely to increase in popularity. They
have the ability to model wide-band signals, material inhomogeneities, and nonlinearities.
As a result, they have distinct advantages for the design of wide-band antennas, for the
design of optical coupling and switching devices, for calculations of radar cross section
for aircraft with complex coatings, for defect diagnosis of manufactured materials using
ultrasonic scattering, and for medical and geophysical imaging.


Radar cross section for aircraft with complex coatings? Some kind of cloaking technology?

Again, what sealed it for me: the authors of the paper are Bradley Alpert, Leslie Greengard, and Thomas Hagstrom.

Alpertm Greengard, Hagstrom. A, G, H. Axons Go Hot.

Of course, 220 dancing robots will probably arrive on 24th and I'll be proved wrong... Smile

PostPosted: Mon Aug 16, 2004 6:30 am
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John Incognito
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Joined: 14 Aug 2004
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Whoa.. Nice work there dude.. This one just feels right. It kind of fits with the Phase 3 Monologue Text where she talks about having stripped her self down to the fundamentals.


I hope your onto something there. Smile
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PostPosted: Mon Aug 16, 2004 6:55 am
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Motoss
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Joined: 06 Aug 2004
Posts: 170
Location: Ohio

That's probably the most well thought out spec I've read in this game so far. You really did your research, bosshog.

PostPosted: Mon Aug 16, 2004 8:32 am
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sherpa
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Joined: 10 Aug 2004
Posts: 338
Location: cam.ac.uk

The D'Alembert connection is fairly interesting - D'Alembert was a bit doo-lally if I remember rightly, but indeed the 'squares, triangles, dots, bars' thing could refer to mathematical operators, especially vector calculus (and what do vectors have? magnitude and direction... for example, the direction vector between two points!).

However I wouldn't put much faith in the time-dependent wave equation paper linked above; it's fairly tenuously related to the game (both have something to do with waves?!) and although the A, G, H is fairly neat I don't think it's particularly conclusive. With time and patience I could pull down a ton of papers with the word 'wave' in the title that have similar other coincidences. Fortunately, I have neither time nor patience (..so why am I doing this ILB thing? Very Happy).

One thing, though; what I've noticed, and not seen explained properly, is the odd phrasing of 'Axons Go Hot'. Why not just 'Axons Fire'? From that angle, the A, G, H link is more justified, but it doesn't feel right to me; I think there may be something else in it, but I'm damned if I know what.

(Disclaimer: I'm a sceptical mathematician by training Smile)
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PostPosted: Mon Aug 16, 2004 9:35 am
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gohoos
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Joined: 10 Aug 2004
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read the article from the first link. I'm still trying to get through it, but that interview uses bees and spiders in a lot of his/her examples and descriptions. About the spider with a web of connections all over, and the like.

Might be worth checking out.

PostPosted: Mon Aug 16, 2004 12:21 pm
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Astald
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Joined: 01 Aug 2004
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Of all of the theories I've seen so far for this, this one seems the best to me. If you need any help from anyone here to continue with this angle, I would be perfectly willing to help, as I'm sure are many others. The one thing I don't understand is why you would use Aug. 8th as the date, why not use the 24th, that is when the axons go hot. I just might not be understanding this very well, math is definitely one of my weak points(one of many unfortunately). But there are alot of things that match up with this, and I wouldn't put it past the PMs to use something this advanced to solve one of their puzzles.

PostPosted: Mon Aug 16, 2004 7:12 pm
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chaotic_mind
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A google search didn't yield anything on a "D'Alemberts Space Time Operator", or a "D'Alemberts Space-Time Operator", or a "D'Alemberts Spacetime Operator". Still I was able to find something on a d'Alembertian operator, which has the square as a symbol. Still, I'm not quite sure that's what you meant.

The D'Alembertian operator has to do with the formulation of a wave equation for non-sinusoidal waves. I can see how it applies here, with 220 waves, but we just don't have enough information to start filling stuff out.

I have to say that this, while intriguing, just doesn't seem in game for me yet. If the PMs are going for a pretty technical mathematical puzzle, why this particular method to solve? If it's a wave equation problem, we need more information to solve it.

I just don't think we have enough in-game evidence to support this.

But, I may be wrong. The D'Alembertian was something new for me, and I don't completely understand it. I am sure there are those with a better understanding of math somewhere in this forum. Come forward, and show what a louzy fraud I am!

Luke P.

PostPosted: Mon Aug 16, 2004 7:43 pm
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ilovecheese
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Joined: 10 Aug 2004
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he is definitely has an impressive one-sheet

d'Alembert published "d'Alembert's principle " in Traité de Dynamique (1743), which was a powerful new interpretation of Newton's third law. He also studied physical astronomy, in which he solved the precession of the equinoxes, and was the first to find and solve the wave equation. His solution is now known as d'Alembert's solution in his honor.

d'Alembert believed that logarithms satisfied , but Euler wrote him explaining that . He tried unsuccessfully to prove the fundamental theorem of algebra (still known in France as d'Alembert's theorem). He discovered the Cauchy-Riemann equations in 1752 (decades prior to Cauchy or Riemann). He also advocated the use of a limiting procedure in calculus.

With Diderot, he composed the monumental 28 volume encyclopedia Dictionaire raisonné des sciences, des arts et des métiers, of which d'Alembert wrote most of the mathematical and scientific articles.

PostPosted: Mon Aug 16, 2004 9:58 pm
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Lex Vella
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Joined: 17 Aug 2004
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I would like to point everyone to a good paper which has mention of Bees, ,Spiders, and nearly everything mentioned in the above theory

http://www.mala.bc.ca/~johnstoi/darwin/sect1.htm

Very good job. I've been silently reading all of the Spec here, on the ILB blog, and on the wiki. But no one has gotten so many of the facts together so well.

PostPosted: Tue Aug 17, 2004 3:39 am
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bosshogg
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Joined: 10 Aug 2004
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Astald wrote:
If you need any help from anyone here to continue with this angle, I would be perfectly willing to help, as I'm sure are many others.

yes! I'm not a mathematician in any sense (I'm a vb programmer!) so please help out. I'm pretty sure we're on to something here.

Astald wrote:
The one thing I don't understand is why you would use Aug. 8th as the date, why not use the 24th, that is when the axons go hot.

24/8/04 is 24th August in UK date format Very Happy

Typically I can't find the link where I found D'Alembert's Space Time Operator now, I'll post it here when I find it again.

PostPosted: Tue Aug 17, 2004 4:58 am
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sherpa
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Lex Vella wrote:
I would like to point everyone to a good paper which has mention of Bees, ,Spiders, and nearly everything mentioned in the above theory

http://www.mala.bc.ca/~johnstoi/darwin/sect1.htm


But the relevant part of that:

Quote:
[Francis Bacon] saw himself as a bee, not as an ant (one of the "men of experiment . . . [who] only collect and use") and not as a spider (the "reasoners . . . [who] make cobwebs out of their own substance").


is nothing to do with D'Alembert, or anything mentioned above! Plus, in that time period of English (and European) natural science and natural philosophy, animal metaphors were common, and very popular.

Sorry, but I am a mathematician, and I don't buy it.
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PostPosted: Tue Aug 17, 2004 7:23 am
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ilovecheese
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Joined: 10 Aug 2004
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sherpa wrote:
Lex Vella wrote:
I would like to point everyone to a good paper which has mention of Bees, ,Spiders, and nearly everything mentioned in the above theory

http://www.mala.bc.ca/~johnstoi/darwin/sect1.htm


But the relevant part of that:

Quote:
[Francis Bacon] saw himself as a bee, not as an ant (one of the "men of experiment . . . [who] only collect and use") and not as a spider (the "reasoners . . . [who] make cobwebs out of their own substance").


is nothing to do with D'Alembert, or anything mentioned above! Plus, in that time period of English (and European) natural science and natural philosophy, animal metaphors were common, and very popular.

Sorry, but I am a mathematician, and I don't buy it.


sherpa what are your thoughts on the possible connection to either the wave equation or precession of the equinoxes...?

i'm not a mathematician, but it seems like either would make good mediums for transforming and/or altering a data set to create an information code.

with a 'key' one might be able to convert GPS--->wave forms or GPS--->constellation locations during a set time in history

or perhaps something else...?

I don't know enough about the rest of D'Alembert's theories/proofs to discuss, but thought you might.

just wondering...

PostPosted: Tue Aug 17, 2004 12:12 pm
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sherpa
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ilovecheese wrote:

sherpa what are your thoughts on the possible connection to either the wave equation or precession of the equinoxes...?

i'm not a mathematician, but it seems like either would make good mediums for transforming and/or altering a data set to create an information code.


Well, as I say above, I don't think the "connection" to the wave equation has any legs to stand on, but as a way of working on data it's possible, I suppose. I'd have to look into that. Thing is, there are tons of other ways of transforming data into e.g. waveforms, and without solid reasoning as to why one way should be used, there're a lot of trees to bark up the wrong way before hitting on anything Smile
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PostPosted: Tue Aug 17, 2004 12:22 pm
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ilovecheese
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sherpa wrote:
ilovecheese wrote:

sherpa what are your thoughts on the possible connection to either the wave equation or precession of the equinoxes...?

i'm not a mathematician, but it seems like either would make good mediums for transforming and/or altering a data set to create an information code.


Well, as I say above, I don't think the "connection" to the wave equation has any legs to stand on, but as a way of working on data it's possible, I suppose. I'd have to look into that. Thing is, there are tons of other ways of transforming data into e.g. waveforms, and without solid reasoning as to why one way should be used, there're a lot of trees to bark up the wrong way before hitting on anything Smile


very true

i'm sure we'll be getting more clues, like the times assoc w/the coordinates which will steer us in the right direction.

also looking for the coordinates to change, at least some of them... as the 'roads' get re-made to more exacting standards

PostPosted: Tue Aug 17, 2004 12:41 pm
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midas777
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Joined: 18 Aug 2004
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Now that we have the times, has anyone looked into the theory that started this post? Might be worth a look?
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PostPosted: Thu Aug 19, 2004 9:42 pm
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