Pieces of E8

I don't know what is happening here, but all these kind of the last posts are in my opinion inappropriate, we are discussing an intelligent theory and all of a sudden all kind of nono's interfere, I feel ashamed for Garrett Lisi.

regards

Wilhelmus

Just killing some in between class time on Digg and I discovered your article . Not usually what I choose to read about, but it was absolutely price my time. Thanks.

You got a very great website, Glad I noticed it through yahoo.

Blatant self-promotion for any interested in my previous work on division algebras and physics - I've put together a new volume (Division Algebras, Lattices, Physics, Windmill Tilting) that can be ordered from Amazon at

http://www.amazon.com/Division-Algebras-Lattices-Physics-Windmill/dp/1463730802/ref=sr_1_1?s=books&ie=UTF8&qid=1315158828&sr=1-1

Much of the material is relevant to much of what has been discussed here. I do not know if this can be order from overseas. If anyone tries and fails, please let me know. Cheers, Geoffrey Dixon

Hey Geoffrey,

Looks good -- I'd be interested to have a look at it. Would be especially good if you could email me a copy, as I try to avoid paper.

Hi Garrett

I will ultimately (by year's end) put a link to a downloadable pdf version at http://www.7stones.com/Homepage/AlgebraSite/algebra0.html, but for the nonce I'm going to leave it as is. It's worth the cost for the cover alone (smiley face). Waste high here today - must suit up.

Cheers, Geoffrey

I think about the extent of the vitality circle that need to exist, and the time it need to exist, to handle an electromagnetic yield with a wavelength of 21.1 cm; that is a tremendous wavelength in examination to the span of the particle. Maybe a mathematician could focus exactly what number components of the E8 lattice might be required to process a vitality circle that will help the era of the 21.1 cm wavelength. Remember that a half or quarter wavelength "vitality structure" can produce a full wavelength if the vitality circle has the best possible properties.

I'll offer this, Darius...

The Flower of Life figure depicts a measurement system, and its connection with E8 is through the Octonions. Wolfram calls it the cascading circular template, where moving out from a central unit circle, one can proceed outward to each new edge - inscribing a unitary measure - and end up with a collection of half-overlapping circles.

The significance of the Flower of Life, as it relates to extended circular measures, is that the outermost circles now touch the central or innermost circle only on its edge, and likewise touch each other only at a point. Thus; there are seven independent circles touching each other only at a point on their periphery - which could correspond with the seven rotations (imaginary dimensions) of the Octonions. Then as pointed out above; O x O yields E8.

Of course; one needs to recognize that the system of measurement extends into higher dimensions, or this to make sense mathematically. The equation r = 1 describes the unit circle, but also describes a unit sphere, and one needs to imagine it can be an 8-dimensional sphere - and a cascading n-spherical template - in order to map the flower of life onto the octonions, or arrive at the octonion number system thereby.

All the Best,

Jonathan

That is,

It needs to be recognized that the measurement system extends into higher dimensions, for this description to make sense mathematically.

Regards,

Jonathan

antony, hi,

veery interesting to see your insights. did you notice the similarity in layout of the main quarks to the phase map diagram on wikipedia which puts charge against mixing angle? there's a direct one-to-one mapping.

i would be interested to discuss this with you further in the context of the model that i'm developing, where i also come up with the exact same map.

l.

But Garrett,

What if "now = (moment, now)" and

"moment = (nonStandardPast, standardFuture, nonStandardFuture)"

(as might be written in the language of "nonStandardAnalysis")

?