Science > Physics > Knot theory as pivotal in telling us how gravity works and the overallgeometry of the Cosmos
| Topic: |
Science > Physics |
| User: |
"Archimedes Plutonium" |
| Date: |
24 Mar 2005 02:00:55 AM |
| Object: |
Knot theory as pivotal in telling us how gravity works and the overallgeometry of the Cosmos |
This is the title of my File 025 "Knot theory as the math helper for the
internal structure of physics particles such as photons, electrons and
to tell the geometry of the overall Cosmos" on my website:
www.iw.net/~a_plutonium
The last time I seemed to dig into this subject was 1999 but it was
recently on my mind due to getting Spring planting underway with curled
up garden hoses and curled up electrical cords and curled up ropes and
strings.
I ran an experiment several weeks ago with putting the electrical cord
around the inside of the building so that there was as few loops as
possible. In other words to storage the cord as one long straight line.
I believe knots occur because whenever a cord or rope or string is wound
in a circle then it is 95% or greater of becoming a knot. In other
words, a knot is a "virtual circle". So that when one storages anything
that is wound is almost guaranteed to have a knot or many knots when
attempting to straighten.
Now I tried a trick on some rope which seems to have worked. It is long
string and so I gave it 4 wounds and then I purposely tied a knot into
the middle of it. So when I come to use it again, I expect it to
straighten quickly without extra knots.
So I wonder if mathematicians have figured out how to storage cord or
rope with several winds such that when they straighten it there will be
no knots or the fewest knots. This is a nice mathematical problem.
But my interest in Knot theory is for what it may tell me about the
geometry of the Cosmos. Plus how gravity as a force works.
Example: If the Cosmos was a Euclidean geometry then there would be a
overall tendency to become wound into knots than if the geometry was
overall Riemannian. So if the Cosmos were Euclidean then when I pull out
electrical cord that is wound a few turns should straighten very quickly
and easily. If the Cosmos were Riemannian then knots abound and anything
wound would have a high frequency of knot formations. If the Cosmos were
Lobachevskian then knots would almost unwind themselves automatically
and difficult to even get a knot from a wound cord or string.
Example as to Gravity Force. In my Unification of the Forces of Physics
only the Coulomb stands alone and all the other forces pair together to
form a Coulomb Force for a particular region of the atom and the entire
Cosmos is one atom of 231Pu. So the Strong Force pairs with the Weak
Force to make a Nuclear region Coulomb force. That leaves the Electron
Space unaccounted for where gravity exists. Gravity is just the Coulomb
force of Electron Space and its paired partner is Antigravity.
So, now, let me combine Knot theory with Gravity. The motion of planets,
of stars and of galaxies is due to gravity which is a pull of masses.
But, now, we can replace the idea that mass bends space and pulls other
masses towards it. IN this vision of Gravity is that Space is electron
space which is Riemannian geometry and so a thing of mass wants to
travel in a straight line but because Space is Electron-Space it is
already highly curved. Take a look at any electron orbital and they are
all Riemannian highly curved spaces. So the Sun and its planets are
pieces of the electron dot cloud. They are pieces of the electrons of
the 5f6 and they are moving in that electron orbital of Riemannian
geometry. And there is no straighten out of the motions of pieces of the
electrons. The fact that EArth revolves around the Sun is not because
the mass of Sun pulls EArth towards it, but because the Sun and EArth
are a tiny part of the 6 electrons of the 5f6 and those electrons bend
space into Riemannian curvature. Motion in Riemannian geometry is knots.
Every time the Earth makes a revolution around the Sun is not because of
a force of Gravity that pulls planet to star but because planet and star
are a part of a electron which has bent space.
So Knot theory is a practical observation test of the overall geometry
of the Universe and it can tell us the inner workings of the Force of
Gravity. Plus, as I mentioned in 1999, that Knot theory can tell us much
about particle physics because in a sense, a knot is a particle.
Archimedes Plutonium
www.iw.net/~a_plutonium
whole entire Universe is just one big atom where dots
of the electron-dot-cloud are galaxies
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| User: "bz" |
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| Title: Re: Knot theory as pivotal in telling us how gravity works and the overall geometry of the Cosmos |
24 Mar 2005 04:49:52 AM |
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Archimedes Plutonium <a_plutonium@iw.net> wrote in
news:424273B8.72DAE04C@iw.net:
I ran an experiment several weeks ago with putting the electrical cord
around the inside of the building so that there was as few loops as
possible. In other words to storage the cord as one long straight line.
Someone showed me a trick with a cord to store it without knots.
start in the middle, walk away from the ends.
you now have a big inverted 'U'.
allow the U to close. take the 'loop' in one hand.
pass it around and through the doubled lines, making a knot with a loop on
one side and the long tails of the U on the other.
Reach THROUGH the loop and grab the tails near the knot and pull a new loop
through the loop. reach through this loop and repeat. NOTE: you never pull
the ENDS of the tails through any loop as that would make knots.
You end up with a 'chain of loops' that can be stored without tangling.
When you want to use the extension cord, you just pull the ends out of as
many loops as are needed.
--
bz
please pardon my infinite ignorance, the set-of-things-I-do-not-know is an
infinite set.
bz+sp@ch100-5.chem.lsu.edu remove ch100-5 to avoid spam trap
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| User: "Dave Reckoning" |
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| Title: Re: Knot theory as pivotal in telling us how gravity works and the overall geometry of the Cosmos |
24 Mar 2005 09:13:16 PM |
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"bz" <bz+sp@ch100-5.chem.lsu.edu> wrote in message
news:Xns96233125171FEWQAHBGMXSZHVspammote@130.39.198.139...
Archimedes Plutonium <a_plutonium@iw.net> wrote in
news:424273B8.72DAE04C@iw.net:
I ran an experiment several weeks ago with putting the electrical cord
around the inside of the building so that there was as few loops as
possible. In other words to storage the cord as one long straight line.
Someone showed me a trick with a cord to store it without knots.
start in the middle, walk away from the ends.
you now have a big inverted 'U'.
allow the U to close. take the 'loop' in one hand.
pass it around and through the doubled lines, making a knot with a loop on
one side and the long tails of the U on the other.
Reach THROUGH the loop and grab the tails near the knot and pull a new
loop
through the loop. reach through this loop and repeat. NOTE: you never pull
the ENDS of the tails through any loop as that would make knots.
You end up with a 'chain of loops' that can be stored without tangling.
When you want to use the extension cord, you just pull the ends out of as
many loops as are needed.
I was a stage hand for a long time and wound hundreds of miles of microphone
cable using the "Over/Under" method described at: http://tinyurl.com/6ujyf
This works great as it puts alternating twists into the cable that cancel
each other out without making any kinks or sharp bends in the cable. Works
great, that is unless you pull from the wrong end when you take it out
again, in which case you get a nice string of knots.
Dave Reckoning
Noblesville IN
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| User: "Giuseppe Bilotta" |
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| Title: Re: Knot theory as pivotal in telling us how gravity works and the overall geometry of the Cosmos |
24 Mar 2005 11:50:09 AM |
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On Thu, 24 Mar 2005 10:49:52 +0000 (UTC), bz wrote:
Someone showed me a trick with a cord to store it without knots.
start in the middle, walk away from the ends.
you now have a big inverted 'U'.
allow the U to close. take the 'loop' in one hand.
pass it around and through the doubled lines, making a knot with a loop on
one side and the long tails of the U on the other.
Reach THROUGH the loop and grab the tails near the knot and pull a new loop
through the loop. reach through this loop and repeat. NOTE: you never pull
the ENDS of the tails through any loop as that would make knots.
You end up with a 'chain of loops' that can be stored without tangling.
Cool! Are there pictures online of this process? I'm not sure I followed it
precisely :(
--
Giuseppe "Oblomov" Bilotta
"I weep for our generation" -- Charlie Brown
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| User: "bz" |
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| Title: Re: Knot theory as pivotal in telling us how gravity works and the overall geometry of the Cosmos |
24 Mar 2005 12:44:41 PM |
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Giuseppe Bilotta <bilotta78@hotpop.com> wrote in
news:1h9a6zd0ya9ug.xdx3r2scjswz$.dlg@40tude.net:
On Thu, 24 Mar 2005 10:49:52 +0000 (UTC), bz wrote:
Someone showed me a trick with a cord to store it without knots.
start in the middle, walk away from the ends.
you now have a big inverted 'U'.
allow the U to close. take the 'loop' in one hand.
pass it around and through the doubled lines, making a knot with a loop
on one side and the long tails of the U on the other.
Reach THROUGH the loop and grab the tails near the knot and pull a new
loop through the loop. reach through this loop and repeat. NOTE: you
never pull the ENDS of the tails through any loop as that would make
knots.
You end up with a 'chain of loops' that can be stored without tangling.
Cool! Are there pictures online of this process? I'm not sure I followed
it precisely :(
Knot yet!
I guess I should make some and post them on my web site. Maybe someone else
has done it already. It makes a 100 ft extension cord 'easy' to handle and
keep untangled'
Well, I guess I been knotty, cause you asked and here is a short cord that
has been looped as per the instructions. (except I didn't quite start in the
exact center, so the ends aren't both in the picture.
http://chemistry.lsu.edu/bz/snap0103.jpg
Does that help?
--
bz
please pardon my infinite ignorance, the set-of-things-I-do-not-know is an
infinite set.
bz+sp@ch100-5.chem.lsu.edu remove ch100-5 to avoid spam trap
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| User: "Giuseppe Bilotta" |
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| Title: Re: Knot theory as pivotal in telling us how gravity works and the overall geometry of the Cosmos |
24 Mar 2005 03:33:58 PM |
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On Thu, 24 Mar 2005 18:44:41 +0000 (UTC), bz wrote:
Knot yet!
I guess I should make some and post them on my web site. Maybe someone else
has done it already. It makes a 100 ft extension cord 'easy' to handle and
keep untangled'
Well, I guess I been knotty, cause you asked and here is a short cord that
has been looped as per the instructions. (except I didn't quite start in the
exact center, so the ends aren't both in the picture.
http://chemistry.lsu.edu/bz/snap0103.jpg
Thanks. At least now I know how it looks :)
Yes, I was looking for such a site myself, but knot knowing the kname of
the knot doesn't help :)
--
Giuseppe "Oblomov" Bilotta
"E la storia dell'umanità, babbo?"
"Ma niente: prima si fanno delle cazzate,
poi si studia che cazzate si sono fatte"
(Altan)
("And what about the history of the human race, dad?"
"Oh, nothing special: first they make some foolish things,
then you study what foolish things have been made")
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| User: "Archimedes Plutonium" |
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| Title: Re: Knot theory as pivotal in telling us how gravity works and theoverall geometry of the Cosmos |
25 Mar 2005 04:58:48 AM |
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Thu, 24 Mar 2005 18:44:41 +0000 (UTC) bz wrote:
(snipped)
Someone showed me a trick with a cord to store it without knots.
start in the middle, walk away from the ends.
you now have a big inverted 'U'.
allow the U to close. take the 'loop' in one hand.
pass it around and through the doubled lines, making a knot with a loop
on one side and the long tails of the U on the other.
Reach THROUGH the loop and grab the tails near the knot and pull a new
loop through the loop. reach through this loop and repeat. NOTE: you
never pull the ENDS of the tails through any loop as that would make
knots.
You end up with a 'chain of loops' that can be stored without tangling.
(snip)
Well, I guess I been knotty, cause you asked and here is a short cord that
has been looped as per the instructions. (except I didn't quite start in the
exact center, so the ends aren't both in the picture.
http://chemistry.lsu.edu/bz/snap0103.jpg
I guess there would be some benefit to having "known knots" than to be faced
with a tangled knotted mess.
But my way requires only one knot in the center and the free loops on both ends
cannot knot with each other.
But getting to some really important questions. If the Universe were
Lobachesckian geometry would the DNA molecule of life be a double helix?
If it were Euclidean same question. If Riemannian same question.
I believe in the Atom Totality which implies the Universe is Riemannian. So the
next question is whether a double helix geometry is the maximum best geometry
in order for the molecule of life to not become knotted up? First I need to
know if the DNA ever becomes knotted up when it should not. Is a double helix
the maximum anti-knotting geometry?
If I dive into this research deeper, then I would want to know if life could
exist in a Cosmos whose geometry is Lobacheskian, for I suspect it cannot and
the same goes for Euclidean.
I suspect that only if the Cosmos is Riemannian such as the shape of atoms can
you have a molecule such as DNA for life. But my intuition has failed before.
I would need to prove, mathematically, that knots in a Lobachevskian geometry
are infrequent and that the forming of knots via activity is difficult. Imagine
life in a Loba World, fishing and we all know how easy it is to knot up fishing
line. In a Loba World, one has to force a knot in fishing gear. In Euclidean
World, fishing would also find knots rare but more frequent than in Loba World.
So I would have to prove mathematically that knots are almost impossible in
Loba World and difficult in Euclidean World. And frequent in Riemannian world,
and we live in a Riemannian World.
I suspect in the future, long after I am gone, that Knot theory will be highly
developed and there will be a theorem saying something like this: Life exists
only in a Riemannian Geometry because molecules of life such as DNA require
knots and the close togetherness of atoms and the double helix allows
replication and antiknotedness.
Archimedes Plutonium
www.iw.net/~a_plutonium
whole entire Universe is just one big atom where dots
of the electron-dot-cloud are galaxies
.
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| User: "bz" |
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| Title: Re: Knot theory as pivotal in telling us how gravity works and the overall geometry of the Cosmos |
25 Mar 2005 06:16:37 AM |
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Archimedes Plutonium <a_plutonium@iw.net> wrote in
news:4243EEE9.9FEE9D08@iw.net:
http://chemistry.lsu.edu/bz/snap0103.jpg
I guess there would be some benefit to having "known knots" than to be
faced with a tangled knotted mess.
But my way requires only one knot in the center and the free loops on
both ends cannot knot with each other.
there is only one knot in mine also and it is near the center. It holds the
first loop together.
Each successive loop pulls right out of the previous loop.
No [other] Knots.
And the chain of loops can be folded to reduce storage needed.
--
bz
please pardon my infinite ignorance, the set-of-things-I-do-not-know is an
infinite set.
bz+sp@ch100-5.chem.lsu.edu remove ch100-5 to avoid spam trap
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| User: "Archimedes Plutonium" |
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| Title: Re: Knot theory as pivotal in telling us how gravity works and theoverall geometry of the Cosmos |
25 Mar 2005 03:58:35 PM |
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Fri, 25 Mar 2005 12:16:37 +0000 (UTC) bz wrote:
Archimedes Plutonium <a_plutonium@iw.net> wrote in
news:4243EEE9.9FEE9D08@iw.net:
http://chemistry.lsu.edu/bz/snap0103.jpg
I guess there would be some benefit to having "known knots" than to be
faced with a tangled knotted mess.
But my way requires only one knot in the center and the free loops on
both ends cannot knot with each other.
there is only one knot in mine also and it is near the center. It holds the
first loop together.
Each successive loop pulls right out of the previous loop.
No [other] Knots.
And the chain of loops can be folded to reduce storage needed.
--
bz
BZ, maybe I am not seeing or visualizing your graphics properly. When I looked
at that graphics I saw only one freeing of a loop when pulled. And the
remainder of the loops require alot of time to weave in and out as to untying
of programmed knots. So I see yours as a long chain of programmed knots. Maybe
I am not visualizing your method properly.
My method is to stretch a cord into one long straight line then make one fold
holding the two ends in my hand. Continue folding keeping the 2 end pieces
together until the cord is the desired storing length. Now with the 2 end
pieces go to the middle of the cord and tie one knot. Now storage and when you
pull the cord out of storage put the cord into its longest line and make tidy
the loops and finally untie the knot in the middle and you have a hassle free
unknoted cord.
I need to prove whether that is correct and whether that is the "most simple
of storing for knot free rope or string or fishing line.
The key is that the length of the loops to store has to be of a reasonable
size so that when you pull it out that you can order the loops.
If the loops are of a small distance then the cord becomes a ball of loops and
impossible to order before untying the knot in the center.
So I would need some mathematical distance of the loops to make it work.
Knot theory is not a breeze. And the things to be learned are very valuable to
physics.
Archimedes Plutonium
www.iw.net/~a_plutonium
whole entire Universe is just one big atom where dots
of the electron-dot-cloud are galaxies
.
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| User: "bz" |
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| Title: Re: Knot theory as pivotal in telling us how gravity works and the overall geometry of the Cosmos |
25 Mar 2005 06:50:21 PM |
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Archimedes Plutonium <a_plutonium@iw.net> wrote in
news:4244898C.617D3493@iw.net:
BZ, maybe I am not seeing or visualizing your graphics properly. When I
looked at that graphics I saw only one freeing of a loop when pulled.
And the remainder of the loops require alot of time to weave in and out
as to untying of programmed knots. So I see yours as a long chain of
programmed knots. Maybe I am not visualizing your method properly.
As you look at http://chemistry.lsu.edu/bz/snap0103.jpg
imagine pulling on BOTH of the lines that exit from the 'chain' on the
right side of the picture. As you pull, the loop on the upper left will be
extracted from the second loop.
Second verse, same as the first.
Each loop pulls out of the previously made loop without knotting.
When the guy showed it to me, it took me some time to understand it.n
.....
I need to prove whether that is correct and whether that is the "most
simple of storing for knot free rope or string or fishing line.
I think that the 'roto-rooter' way of storing a springy line may be simpler
and better than either of our methods.
--
bz
please pardon my infinite ignorance, the set-of-things-I-do-not-know is an
infinite set.
bz+sp@ch100-5.chem.lsu.edu remove ch100-5 to avoid spam trap
.
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| User: "Archimedes Plutonium" |
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| Title: Re: Knot theory as pivotal in telling us how gravity works and theoverall geometry of the Cosmos |
26 Mar 2005 12:57:19 AM |
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Sat, 26 Mar 2005 00:50:21 +0000 (UTC) bz wrote:
As you look at http://chemistry.lsu.edu/bz/snap0103.jpg
imagine pulling on BOTH of the lines that exit from the 'chain' on the
right side of the picture. As you pull, the loop on the upper left will be
extracted from the second loop.
Second verse, same as the first.
Each loop pulls out of the previously made loop without knotting.
When the guy showed it to me, it took me some time to understand it.n
Sorry BZ but I am still not getting how the second loop comes off without
rethreading. I see where the first loop just falls out from a tug but the
second loop is knotted at the midpoint of the inverted U.
BZ, can you elaborate on your instructions of "allow the U to close":
start in the middle, walk away from the ends.
you now have a big inverted 'U'.
allow the U to close. take the 'loop' in one hand.
pass it around and through the doubled lines, making a knot with a loop
on one side and the long tails of the U on the other.
Reach THROUGH the loop and grab the tails near the knot and pull a new
loop through the loop. reach through this loop and repeat. NOTE: you
never pull the ENDS of the tails through any loop as that would make
knots.
Or better yet show a 4 part series of pictures of how you end up with your
picture. And can you show a picture of one more loop to that picture because I
am thinking that you have to knot it into what you call "first verse".
I tried it out tonight and failed to arrive at your diagram, but I was never
good at making knots. Some picture can take a cursory glance at your picture
and duplicate it instantly. I have to labor with it.
I am wanting to know if your device works even if it requires rethreading
because I like storing away of things in an orderly way. Whether I can do it
for garden hoses also.
Better the knots I make rather than the knots that are unplanned for when I
want to use the line.
....
I need to prove whether that is correct and whether that is the "most
simple of storing for knot free rope or string or fishing line.
I think that the 'roto-rooter' way of storing a springy line may be simpler
and better than either of our methods.
The rope or cord has to be alone. Much like the Ancients played around with
what they can get from compass alone or straightedge and compass alone. Here I
want one rope alone.
Archimedes Plutonium
www.iw.net/~a_plutonium
whole entire Universe is just one big atom where dots
of the electron-dot-cloud are galaxies
.
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| User: "bz" |
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| Title: Re: Knot theory as pivotal in telling us how gravity works and the overall geometry of the Cosmos |
28 Mar 2005 06:48:54 AM |
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Archimedes Plutonium <a_plutonium@iw.net> wrote in
news:424507D0.1067CBE@iw.net:
As you look at http://chemistry.lsu.edu/bz/snap0103.jpg
imagine pulling on BOTH of the lines that exit from the 'chain' on the
right side of the picture. As you pull, the loop on the upper left will
be extracted from the second loop.
Second verse, same as the first.
Each loop pulls out of the previously made loop without knotting.
When the guy showed it to me, it took me some time to understand it.n
Sorry BZ but I am still not getting how the second loop comes off
without rethreading. I see where the first loop just falls out from a
tug but the second loop is knotted at the midpoint of the inverted U.
here is a couple of pictures of an extension cord that is "chainlooped".
(I don't know of a better word to use to describe the process).
http://chemistry.lsu.edu/bz/snap0106.jpg
http://chemistry.lsu.edu/bz/snap0107.jpg
Don't worry about the large jumbled mass of cord, it is just the chain
folded onto itself several times.
The part to study is the loop at the end of the chain.
NOTHING is holding it in place except that it is poked through the
previous loop. It will pull out of that loop.
Once it is removed by pulling on the loose ends that go out of the
pictures, the next loop is free to pull out of the loop it is poke
through.
And so on, all the way back to the original loop which is held in place by
a knot at the center of the cord.
--
bz
please pardon my infinite ignorance, the set-of-things-I-do-not-know is an
infinite set.
bz+sp@ch100-5.chem.lsu.edu remove ch100-5 to avoid spam trap
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| User: "Archimedes Plutonium" |
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| Title: Re: Knot theory as pivotal in telling us how gravity works and theoverall geometry of the Cosmos |
28 Mar 2005 01:01:54 PM |
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bz wrote:
here is a couple of pictures of an extension cord that is "chainlooped".
(I don't know of a better word to use to describe the process).
Thanks BZ, please can you post about 4, 5, or 6 pictures instructing me as to
how I can replicate this Chainlooping knot. I want to storage some things
with that special chainlooping knot.
Pictures are easier as instructions than words and so about 4 or 5 or 6
pictures should guide me to the point were I can duplicate.
thanks
Archimedes Plutonium
www.iw.net/~a_plutonium
whole entire Universe is just one big atom where dots
of the electron-dot-cloud are galaxies
.
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| User: "bz" |
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| Title: Re: Knot theory as pivotal in telling us how gravity works and the overall geometry of the Cosmos |
30 Mar 2005 02:04:36 PM |
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Archimedes Plutonium <a_plutonium@iw.net> wrote in
news:424854A3.28A683F9@iw.net:
bz wrote:
here is a couple of pictures of an extension cord that is
"chainlooped". (I don't know of a better word to use to describe the
process).
Thanks BZ, please can you post about 4, 5, or 6 pictures instructing me
as to how I can replicate this Chainlooping knot. I want to storage some
things with that special chainlooping knot.
Pictures are easier as instructions than words and so about 4 or 5 or 6
pictures should guide me to the point were I can duplicate.
They aren't the best pictures in the world (I broke the camera card for my
HP jornada and it is now intermittent) The focus is not real great either.
http://chemistry.lsu.edu/bz/snap0117.jpg
thru
http://chemistry.lsu.edu/bz/snap0122.jpg
--
bz
please pardon my infinite ignorance, the set-of-things-I-do-not-know is an
infinite set.
bz+sp@ch100-5.chem.lsu.edu remove ch100-5 to avoid spam trap
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| User: "bz" |
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| Title: Re: Knot theory as pivotal in telling us how gravity works and the overall geometry of the Cosmos |
26 Mar 2005 02:50:26 AM |
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Archimedes Plutonium <a_plutonium@iw.net> wrote in
news:424507D0.1067CBE@iw.net:
Better the knots I make rather than the knots that are unplanned for when I
want to use the line.
By the way, while I was on board a Norwegian ship, fixing their radar, I
learned that they call kinks in ropes and lines 'englishmen'.
:)
--
bz
please pardon my infinite ignorance, the set-of-things-I-do-not-know is an
infinite set.
bz+sp@ch100-5.chem.lsu.edu remove ch100-5 to avoid spam trap
.
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| User: "bz" |
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| Title: Re: Knot theory as pivotal in telling us how gravity works and the overall geometry of the Cosmos |
26 Mar 2005 02:47:01 AM |
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Archimedes Plutonium <a_plutonium@iw.net> wrote in
news:424507D0.1067CBE@iw.net:
Sorry BZ but I am still not getting how the second loop comes off without
rethreading. I see where the first loop just falls out from a tug but the
second loop is knotted at the midpoint of the inverted U.
as soon as the last loop is removed from inside the previous loop, that
loop is free to be removed from inside the n-2 loop, releasing it so it can
be removed from n-3... etc., back to (first) loop.
In the case of the picture, we have only n and n-1.
n-2 is also 'first', the starting loop and there IS a knot kneeded to hold
it together.
I will try and make a better picture next week.
--
bz
please pardon my infinite ignorance, the set-of-things-I-do-not-know is an
infinite set.
bz+sp@ch100-5.chem.lsu.edu remove ch100-5 to avoid spam trap
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| User: "Schoenfeld" |
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| Title: Re: Knot theory as pivotal in telling us how gravity works and the overall geometry of the Cosmos |
25 Mar 2005 03:23:22 PM |
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Archimedes Plutonium wrote:
This is the title of my File 025 "Knot theory as the math helper for
the
internal structure of physics particles such as photons, electrons
and
to tell the geometry of the overall Cosmos" on my website:
www.iw.net/~a_plutonium
The last time I seemed to dig into this subject was 1999 but it was
What two knots are homeomorphic?
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| User: "Archimedes Plutonium" |
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| Title: Re: Knot theory as pivotal in telling us how gravity works and theoverall geometry of the Cosmos |
25 Mar 2005 03:44:25 PM |
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Schoenfeld wrote:
Archimedes Plutonium wrote:
This is the title of my File 025 "Knot theory as the math helper for
the
internal structure of physics particles such as photons, electrons
and
to tell the geometry of the overall Cosmos" on my website:
www.iw.net/~a_plutonium
The last time I seemed to dig into this subject was 1999 but it was
What two knots are homeomorphic?
I am everywhere in almost all important issues of science, from
superconductivity to human cloning. From unification of physics forces to
what is religion. From solving what created humans out of primates--
Stonethrowing theory to how the Solar System was formed.
I spent much time on many proofs in mathematics from Poincare Conjecture
to Riemann Hypothesis, from 4 Color Mapping to FLT.
Much of this is on my website;
www.iw.net/~a_plutonium
And you expect me to have some minute trivial detail at the tip of my
finger. Some detail that required most of your career in thinking and you
expect me to answer at the flip of a post.
So let me ask you a question. Prove that a long string or long electrical
cord layed out straight in a long line. We want to storage it in a tight
corner so that we can just throw it in there and when we want to use it
again just grab it out and lay it long and untie the knot in its center
and that will be the only knot found in this stored rope or cord.
STorage Knot: lay the rope in a straight line. GRab one end and lay it
against the other end forming 1 loop. Fold again so the hand now has the
two ends and the 1st loop. Keep doing that until the rope is of a nice
storeable length. Now take the end which has the two ends and fold it
into the center of the length and use the ends to tie a knot in the
center. Finished.
Throw the rope into the storage space. When we want to use it, pull it
out, stomp on it, throw it around. Even try to tangle it.
But it will not knot any further than the single knot in the center
because the loops cannot form a knot.
So, Schoenfeld, can you prove that the above is the "most simple" means
of storing a rope or cord and never gain a second knot?
CAn you prove that? Perhaps that is what your question of homeomorphic is
all about. But I do not have the time for details, that is what
mathematics professors are paid to do.
Archimedes Plutonium
www.iw.net/~a_plutonium
whole entire Universe is just one big atom where dots
of the electron-dot-cloud are galaxies
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