248-dimension maths puzzle solved {ATTN: Arturo}

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Topic:	Religions > Atheism
User:	"stoney"
Date:	31 May 2007 10:48:26 PM
Object:	248-dimension maths puzzle solved {ATTN: Arturo}

http://news.bbc.co.uk/2/hi/science/nature/6466129.stm
Monday, 19 March 2007, 12:28 GMT
248-dimension maths puzzle solved
An international team of mathematicians has detailed a vast complex
numerical "structure" which was described more than a century ago.
Mapping the 248-dimensional structure, called E8, took four years of
work and produced more data than the Human Genome Project, researchers
said.
E8 is a "Lie group", a means of describing symmetrical objects.
The team said their findings may assist fields of physics which use more
than four dimensions, such as string theory.
Lie groups were invented by the 19th Century Norwegian mathematician
Sophus Lie (pronounced "Lee").
Familar structures such as balls and cones have symmetry in three
dimensions, and there are Lie groups to describe them. E8 is much
bigger.
"What's attractive about studying E8 is that it's as complicated as
symmetry can get", observed David Vogan from the Massachussetts
Institute of Technology (MIT) in the US.
"Mathematics can almost always offer another example that's harder than
the one you're looking at now, but for Lie groups, E8 is the hardest
one."
Professor Vogan is presenting the results at MIT in a lecture entitled
The Character Table for E8, or How We Wrote Down a 453,060 x 453,060
Matrix and Found Happiness.
Fundamental force
Conceptualising, designing and running the calculations took a team of
19 mathematicians four years. The final computation took more than three
days' solid processing time on a Sage supercomputer.
What came out was a matrix of linked numbers, which together describe
the structure of E8. It contains more than 60 times as much data as the
human genome sequence.
Each of the 205,263,363,600 entries on the matrix is far more
complicated than a straightforward number; some are complex equations.
The team calculated that if all the numbers were written out in small
type, they would cover an area the size of Manhattan.
In addition to facilitating further understanding of symmetry and
related areas of mathematics, the team hopes its work will contribute to
areas of physics, such as string theory, which involve structures
possessing more than the conventional four dimensions of space and time.
"While mathematicians have known for a long time about the beauty and
the uniqueness of E8, we physicists have come to appreciate its
exceptional role only more recently," commented Hermann Nicolai,
director of the Max Planck Institute for Gravitational Physics (the
Albert Einstein Institute) in Germany.
"Yet, in our attempts to unify gravity with the other fundamental forces
into a consistent theory of quantum gravity, we now encounter it at
almost every corner."
--
Atheist n A person to be pitied in that he is
unable to believe things for which there is
no evidence, and who has thus deprived himself of
a convenient means of feeling superior to others.
—Chaz Bufe, The American Heretic’s Dictionary
.

User: "Arturo Magidin"
Title: Re: 248-dimension maths puzzle solved {ATTN: Arturo}	22 Jun 2007 11:23:54 AM

On May 31, 10:48 pm, stoney <sto...@the.net> wrote:

[...]
Sorry for long delay in replying; I only scan the subject threads in
a.a these days, and some days if I'm busy not even that...
I know a little bit about Lie groups, but not much. E8 was known, and
many of its properties also were known. I believe this is just a very
explicit structure description. Anyhoo...
Arturo Magidin
.

User: "stoney"
Title: Re: 248-dimension maths puzzle solved {ATTN: Arturo}	24 Jun 2007 05:04:16 PM

On Fri, 22 Jun 2007 09:23:54 -0700, Arturo Magidin
<magidin@member.ams.org> wrote in alt.atheism

On May 31, 10:48 pm, stoney <sto...@the.net> wrote:

[...]

Sorry for long delay in replying; I only scan the subject threads in
a.a these days, and some days if I'm busy not even that...

I know a little bit about Lie groups, but not much. E8 was known, and
many of its properties also were known. I believe this is just a very
explicit structure description. Anyhoo...

No worries, Arturo. It was something I came across which I thought
might interest you.
--
Atheist n A person to be pitied in that he is
unable to believe things for which there is
no evidence, and who has thus deprived himself of
a convenient means of feeling superior to others.
—Chaz Bufe, The American Heretic’s Dictionary
.

User: "Michael Gray"
Title: Re: 248-dimension maths puzzle solved {ATTN: Arturo}	24 Jun 2007 07:35:24 PM

On Sun, 24 Jun 2007 15:04:16 -0700, stoney <stoney@the.net> wrote:
- Refer: <7hqt73tomthm5mcpot8o0oknqvn7bvu3mg@4ax.com>

On Fri, 22 Jun 2007 09:23:54 -0700, Arturo Magidin
<magidin@member.ams.org> wrote in alt.atheism

On May 31, 10:48 pm, stoney <sto...@the.net> wrote:

[...]

Sorry for long delay in replying; I only scan the subject threads in
a.a these days, and some days if I'm busy not even that...

I know a little bit about Lie groups, but not much. E8 was known, and
many of its properties also were known. I believe this is just a very
explicit structure description. Anyhoo...

No worries, Arturo. It was something I came across which I thought
might interest you.

And that's no Lie!
--
.

User: "stoney"
Title: Re: 248-dimension maths puzzle solved {ATTN: Arturo}	29 Jun 2007 11:21:27 AM

On Mon, 25 Jun 2007 10:05:24 +0930, Michael Gray <mikegray@newsguy.com>
wrote in alt.atheism

On Sun, 24 Jun 2007 15:04:16 -0700, stoney <stoney@the.net> wrote:
- Refer: <7hqt73tomthm5mcpot8o0oknqvn7bvu3mg@4ax.com>

On Fri, 22 Jun 2007 09:23:54 -0700, Arturo Magidin
<magidin@member.ams.org> wrote in alt.atheism

On May 31, 10:48 pm, stoney <sto...@the.net> wrote:

[...]

Sorry for long delay in replying; I only scan the subject threads in
a.a these days, and some days if I'm busy not even that...

I know a little bit about Lie groups, but not much. E8 was known, and
many of its properties also were known. I believe this is just a very
explicit structure description. Anyhoo...

No worries, Arturo. It was something I came across which I thought
might interest you.

And that's no Lie!

It got Lay'd?
--
Atheist n A person to be pitied in that he is
unable to believe things for which there is
no evidence, and who has thus deprived himself of
a convenient means of feeling superior to others.
—Chaz Bufe, The American Heretic’s Dictionary
.

User: "Michael Gray"
Title: Re: 248-dimension maths puzzle solved {ATTN: Arturo}	29 Jun 2007 07:31:06 PM

On Fri, 29 Jun 2007 09:21:27 -0700, stoney <stoney@the.net> wrote:
- Refer: <rbca835ak7i8nu29uee35o2trlcginq0q1@4ax.com>

On Mon, 25 Jun 2007 10:05:24 +0930, Michael Gray <mikegray@newsguy.com>
wrote in alt.atheism

On Sun, 24 Jun 2007 15:04:16 -0700, stoney <stoney@the.net> wrote:
- Refer: <7hqt73tomthm5mcpot8o0oknqvn7bvu3mg@4ax.com>

On Fri, 22 Jun 2007 09:23:54 -0700, Arturo Magidin
<magidin@member.ams.org> wrote in alt.atheism

On May 31, 10:48 pm, stoney <sto...@the.net> wrote:

[...]

Sorry for long delay in replying; I only scan the subject threads in
a.a these days, and some days if I'm busy not even that...

I know a little bit about Lie groups, but not much. E8 was known, and
many of its properties also were known. I believe this is just a very
explicit structure description. Anyhoo...

No worries, Arturo. It was something I came across which I thought
might interest you.

And that's no Lie!

It got Lay'd?

Eric Clapton was a mathematician?
--
.

User: "stoney"
Title: Re: 248-dimension maths puzzle solved {ATTN: Arturo}	11 Jul 2007 03:18:06 PM

On Sat, 30 Jun 2007 10:01:06 +0930, Michael Gray <mikegray@newsguy.com>
wrote in alt.atheism

On Fri, 29 Jun 2007 09:21:27 -0700, stoney <stoney@the.net> wrote:
- Refer: <rbca835ak7i8nu29uee35o2trlcginq0q1@4ax.com>

On Mon, 25 Jun 2007 10:05:24 +0930, Michael Gray <mikegray@newsguy.com>
wrote in alt.atheism

On Sun, 24 Jun 2007 15:04:16 -0700, stoney <stoney@the.net> wrote:
- Refer: <7hqt73tomthm5mcpot8o0oknqvn7bvu3mg@4ax.com>

On Fri, 22 Jun 2007 09:23:54 -0700, Arturo Magidin
<magidin@member.ams.org> wrote in alt.atheism

On May 31, 10:48 pm, stoney <sto...@the.net> wrote:

[...]

Sorry for long delay in replying; I only scan the subject threads in
a.a these days, and some days if I'm busy not even that...

I know a little bit about Lie groups, but not much. E8 was known, and
many of its properties also were known. I believe this is just a very
explicit structure description. Anyhoo...

No worries, Arturo. It was something I came across which I thought
might interest you.

And that's no Lie!

It got Lay'd?

Eric Clapton was a mathematician?

Sure. 1 chord plus 1 chord.....
--
Atheist n A person to be pitied in that he is
unable to believe things for which there is
no evidence, and who has thus deprived himself of
a convenient means of feeling superior to others.
—Chaz Bufe, The American Heretic’s Dictionary
.

User: "Michael Gray"
Title: Re: 248-dimension maths puzzle solved {ATTN: Arturo}	15 Jul 2007 10:56:33 PM

On Wed, 11 Jul 2007 13:18:06 -0700, stoney <stoney@the.net> wrote:

On Sat, 30 Jun 2007 10:01:06 +0930, Michael Gray <mikegray@newsguy.com>
wrote in alt.atheism

On Fri, 29 Jun 2007 09:21:27 -0700, stoney <stoney@the.net> wrote:
- Refer: <rbca835ak7i8nu29uee35o2trlcginq0q1@4ax.com>

On Mon, 25 Jun 2007 10:05:24 +0930, Michael Gray <mikegray@newsguy.com>
wrote in alt.atheism

On Sun, 24 Jun 2007 15:04:16 -0700, stoney <stoney@the.net> wrote:
- Refer: <7hqt73tomthm5mcpot8o0oknqvn7bvu3mg@4ax.com>

On Fri, 22 Jun 2007 09:23:54 -0700, Arturo Magidin
<magidin@member.ams.org> wrote in alt.atheism

On May 31, 10:48 pm, stoney <sto...@the.net> wrote:

[...]

Sorry for long delay in replying; I only scan the subject threads in
a.a these days, and some days if I'm busy not even that...

I know a little bit about Lie groups, but not much. E8 was known, and
many of its properties also were known. I believe this is just a very
explicit structure description. Anyhoo...

No worries, Arturo. It was something I came across which I thought
might interest you.

And that's no Lie!

It got Lay'd?

Eric Clapton was a mathematician?

Sure. 1 chord plus 1 chord.....

That was the Moody Blues, the "Missing Chord".
.

User: "stoney"
Title: Re: 248-dimension maths puzzle solved {ATTN: Arturo}	18 Jul 2007 11:26:49 AM

On Mon, 16 Jul 2007 13:26:33 +0930, Michael Gray <mikegray@newsguy.com>
wrote in alt.atheism

On Wed, 11 Jul 2007 13:18:06 -0700, stoney <stoney@the.net> wrote:

On Sat, 30 Jun 2007 10:01:06 +0930, Michael Gray <mikegray@newsguy.com>
wrote in alt.atheism

On Fri, 29 Jun 2007 09:21:27 -0700, stoney <stoney@the.net> wrote:
- Refer: <rbca835ak7i8nu29uee35o2trlcginq0q1@4ax.com>

On Mon, 25 Jun 2007 10:05:24 +0930, Michael Gray <mikegray@newsguy.com>
wrote in alt.atheism

On Sun, 24 Jun 2007 15:04:16 -0700, stoney <stoney@the.net> wrote:
- Refer: <7hqt73tomthm5mcpot8o0oknqvn7bvu3mg@4ax.com>

On Fri, 22 Jun 2007 09:23:54 -0700, Arturo Magidin
<magidin@member.ams.org> wrote in alt.atheism

On May 31, 10:48 pm, stoney <sto...@the.net> wrote:

[...]

Sorry for long delay in replying; I only scan the subject threads in
a.a these days, and some days if I'm busy not even that...

I know a little bit about Lie groups, but not much. E8 was known, and
many of its properties also were known. I believe this is just a very
explicit structure description. Anyhoo...

No worries, Arturo. It was something I came across which I thought
might interest you.

And that's no Lie!

It got Lay'd?

Eric Clapton was a mathematician?

Sure. 1 chord plus 1 chord.....

That was the Moody Blues, the "Missing Chord".

Which was addressed to their 'children's children's children.'
The packet also contained ten billion butterfly sneezes.
--
Atheist n A person to be pitied in that he is
unable to believe things for which there is
no evidence, and who has thus deprived himself of
a convenient means of feeling superior to others.
—Chaz Bufe, The American Heretic’s Dictionary
.

User: "Michael Gray"
Title: Re: 248-dimension maths puzzle solved {ATTN: Arturo}	18 Jul 2007 07:54:37 PM

On Wed, 18 Jul 2007 09:26:49 -0700, stoney <stoney@the.net> wrote:

On Mon, 16 Jul 2007 13:26:33 +0930, Michael Gray <mikegray@newsguy.com>
wrote in alt.atheism

On Wed, 11 Jul 2007 13:18:06 -0700, stoney <stoney@the.net> wrote:

On Sat, 30 Jun 2007 10:01:06 +0930, Michael Gray <mikegray@newsguy.com>
wrote in alt.atheism

On Fri, 29 Jun 2007 09:21:27 -0700, stoney <stoney@the.net> wrote:
- Refer: <rbca835ak7i8nu29uee35o2trlcginq0q1@4ax.com>

On Mon, 25 Jun 2007 10:05:24 +0930, Michael Gray <mikegray@newsguy.com>
wrote in alt.atheism

On Sun, 24 Jun 2007 15:04:16 -0700, stoney <stoney@the.net> wrote:
- Refer: <7hqt73tomthm5mcpot8o0oknqvn7bvu3mg@4ax.com>

On Fri, 22 Jun 2007 09:23:54 -0700, Arturo Magidin
<magidin@member.ams.org> wrote in alt.atheism

On May 31, 10:48 pm, stoney <sto...@the.net> wrote:

[...]

Sorry for long delay in replying; I only scan the subject threads in
a.a these days, and some days if I'm busy not even that...

I know a little bit about Lie groups, but not much. E8 was known, and
many of its properties also were known. I believe this is just a very
explicit structure description. Anyhoo...

No worries, Arturo. It was something I came across which I thought
might interest you.

And that's no Lie!

It got Lay'd?

Eric Clapton was a mathematician?

Sure. 1 chord plus 1 chord.....

That was the Moody Blues, the "Missing Chord".

Which was addressed to their 'children's children's children.'

Yeah, leave it Stan, sorry, Loretta!

The packet also contained ten billion butterfly sneezes.

Erm, are you all right?
.

User: "stoney"
Title: Re: 248-dimension maths puzzle solved {ATTN: Arturo}	19 Jul 2007 10:22:07 AM

On Thu, 19 Jul 2007 10:24:37 +0930, Michael Gray <mikegray@newsguy.com>
wrote in alt.atheism