mauitian ([info]mauitian) wrote,
@ 2007-08-14 13:10:00
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Wandering physicist
Life has been moving kind of fast lately, so I haven't been able to keep up my rapid posting pace. But since my usual table at the Claremont public library is currently occupied by a baby alligator and a kinkajou, I thought I'd write about what I've been up to.

I got all my physics ducks in a row and took them down to Morelia, Mexico for the Loops '07 conference in quantum gravity. For the first twelve hours I attended talks and drifted in and out of various physics conversations. This was enjoyable, and it was good to be able to associate humans with the names I had read at the top of papers, but nobody knew who the heck I was and I definitely felt like an outsider. Then I gave my twenty minute talk, and everything changed. Many people came down to the stage afterwards to talk with me, and this unusual level of attention continued through the week. The quantum gravity community is really great -- what a wonderful group of people! Since there is no known true quantum gravity theory, researchers have split into many different branches of the search tree. The overall atmosphere is very convivial, with positive interchange even between researchers with conflicting theories. Since what I'm trying to do is bring in the missing piece that connects gravity with all other matter in a unified theory, many people recognized my work as very interesting and useful -- as I had hoped. The best surprise was how much fun I had hanging out with the grad students and postdocs from the Perimeter Institute. They're a very dynamic and amusing bunch of geeks, and I'm looking forward to seeing them again when I fly out there (near Toronto) in October.

For the two weeks before the next conference, C and I stayed with my grandfather in Newport Beach. I can't say enough how wonderful C was during these weeks, as she did all the shopping and cooking while I played furiously with equations. Then I flew to Iceland.

I didn't fly direct from San Diego, but stopped over in Minneapolis. I didn't want to miss a chance to have lunch at the Mall of America -- it truly is the mother of all things mall. (And it was cheaper to hop a quick train there than to eat lunch in the airport.) After that, it was off to Reykjavik. The inaugural FQXi conference was a hell of a lot of fun. There was a great mix of big names and up-and-comers, all interested in foundational physics. And we didn't just sit in conference rooms all day. They took us out to some huge thermal pools, and we spent a whole day touring geysers, waterfalls, and even went for a snowmobile trip on a glacier. (I've put some pictures up here) It was wildly extravagant. And the fish... holy crap was the salmon good -- I had it for breakfast and lunch every day. And I was very happy not to be paying for it. At one point I ordered ice cream for dessert at a non-fancy restaurant -- with the exchange rate, it was US$18. (The purchase was necessary in order to exactly match my meal allowance.) I had so many interesting conversations during this conference that my head is still swimming with them.

Now that I've been back for a couple weeks, I've settled into an accelerated pace of working on physics. After these conferences, I'm not such an unknown. It feels slightly different now to have social pressure on me to work -- and I'm going to have to make an effort to spend quality time with C, and my surfboard. My inbox also looks different. I got an email from a grad student asking if he might be able to work with me. "Uh, dude, I'm currently staying with my parents..." I was featured on a popular physics blog, and this week I'm being interviewed for an article by Nude Scientist. Hmm, or maybe I have that wrong and I should wear clothes.

Anyway, life is good. And busy. But I don't think it has gone to my head too much. C and I are still traveling around, staying with friends and family. And I'm still writing while sitting on the floor, having been displaced by a small nocturnal mammal. I don't blame the library though -- kinkajous are really cute.


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[info]odditory
2007-08-14 09:30 pm UTC (link)
Sound like you are up to a lot of fun! Keep up the good physics!

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[info]tanjent
2007-08-15 12:47 am UTC (link)
can I be you when I grow up? ;)

-tanjent

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[info]mauitian
2007-08-15 07:53 pm UTC (link)
Your odds of being me will be higher if you don't grow up.

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(Anonymous)
2007-08-24 08:30 pm UTC (link)
Garrett, you said that you "... got an email from a grad student asking if he might be able to work with [you]...".

I know that free advice is worth its price,
but anyhow here is some:

Make some sort arrangement to work with that grad student, and with any others who might also want to work with you.

1 - I am sufficiently familiar with what you are doing that I am pretty sure that it will indeed lead to the TOE you described in your interview with Bee, and the more people that work with you the faster you will all get there.

2 - You don't have to give up any freedom or change your lifestyle in order to work with a grad student.
The grad student is already in grad school somewhere, and has an adviser who approves working with you, so the student can use his local adviser for the administrative bureaucratic stuff at the grad school, and you can (via internet) interact with the student as extensively and in as much detail as needed.
Physical travel to the grad school site is optional for you.

3 - If the collaboration works well, the grad school(s) might want to help you with grant applications and even make you a paid faculty member (example - Neeman was on the Texas faculty although he spent most of his time in Israel).

Tony Smith

PS - Actually surfing is very much like the geometric way of doing physics - as is music.
I have never done much of either surfing or music, and am too old to do much now,
but what little I have done is enough that I know the truth of what I just said.

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[info]mauitian
2007-08-24 09:03 pm UTC (link)
Hi Tony, I've always valued your advice -- thanks.

The TOE is working nicely. Here's why:

e8 = f4 + g2 + 26x7
= d4 + a2 + (8+8+8)x(1-1+3-3) + 3x(3-3) + 2x1

I hope you can make sense of that -- it's made me very happy. I'm working out the details and writing it up as a paper right now.

My quiet life is getting more interesting. I'm going to have some internal conflicts if physics opportunities pull me away from surfing -- I'll have to balance it somehow.

Best,
Garrett

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(Anonymous)
2007-08-25 03:18 am UTC (link)
Your equation is very nice.

Tell me if I go wrong, but is it based on

52-dim f4
=
28-dim adjoint of d4 + 8-dim vector of d4 + 16-dim spinors of d4
=
d4 + 8v + 16s

and on

g2 = a2 + 6-dim

so

248-dim E8
=
f4 + g2 + 26x7
=
d4 + 8v + 16s + 26x7 + g2
=
d4 + 24 + 26x7 + 6 + a2
=
d4 + a2 + 24 + (24+2)x7 + 6
=
d4 + a2 + 24x8 + 2x7 + (4+2)
=
d4 + a2 + 24x8 + (14+4) + 2
=
d4 + a2 + 24x8 + 3x6 + 2

I am OK with 1-1+3-3 = 8 and 3-3 = 6
but
what I am having trouble understanding in physical terms
is combining the 2x7 = 14 with 4 of the 6 from g2 to get the 3x6 = 18

What I see is that the 6 is sort of like a 6-dim physical spacetime
used in the conformal group Spin(2,4) = SU(2,2)
and
the 4 out of the 6 is sort of like the 4-dim Minkowski spacetime on which
the conformal transformations act non-linearly
or
in other words the 4 of SU(2,2)

and

each 7 of the 2x7 = 14 is like the 7 charged fermion particles and
the 7 charged fermion antiparticles of the first generation

so

the 3x6 = 18 is sort of a representation of our physical spacetime
plus the charged fermion particles and antiparticles that live in it.

As to the rest:

the 2 may be neutrino and antineutrino of the first generation

the a2 is SU(3) color

the d4 is Spin(1,7) (real version) or
Spin(2,6) (quaternionic version) which has a 15-dim Spin(2,4) = SU(4) conformal group
which in turn has a 10-dim Spin(2,3) antideSitter subgroup that gives gravity by
the MacDowell-Mansouri mechanism
and
the 5 dimensions left over (1 dilation and 4 special conformal) would be
4 special conformal are U(2) = SU(2)xU(1) weak and electromagnetic force
1 dilation is the Higgs scalar.

That leaves left over 28 - 15 = 13 generators of d4
which might be another aspect of the 8 + 4 + 1 of a2 color, electroweak, and Higgs.

and

the 24x8 = (8+8+8)x(1-1+3-3) = (8+8+8)(1+3 -3-1)
where maybe 1+3 is neutrino plus red, blue, green up quarks
and -1-3 is electron plus red, blue, green down quarks
and
the 8+8+8 corresponds to the 3 generations
8+0+0 giving first generation
8+8+0 giving second generation
8+8+8 giving third generation
and the 8 being representable by the octonions.

Maybe some of these ideas might be related to your view,
but I apologize if they are too long or wrong or irrelevant.

Also, my apologies if this is the wrong blog to say such stuff.

Tony

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[info]mauitian
2007-08-25 05:36 am UTC (link)
Heh, my livejournal friends won't know what the heck this language is we're talking in, but that's OK.

What you wrote is essentially correct.

But I split d4 as:

d4 = so(3,1) + su(2) + su(2) + 4x(2-2)

and do MacDowell-Mansouri with the so(3,1) spin connection and 4 frame, while the su(2)'s are L and R electroweak acting on the Higgs plus anti-Higgs doublet, 2-2.

The 2x7... is where the CKM matrix is going to come from. For

f4 + 26 = f4 + (8+8+8+2)

that 2 relates to the triality rotation between the three generations (this involves the exceptional Jordan algebra) -- I think it's going to have to be a gauge field rather than a new set of fermions. This multiplies with a new set of color mixing Higgs', as you probably guessed.


You know, I think people would have figured this out thirty years ago if it weren't for Coleman and Mandula being more popular than MacDowell and Mansouri. Ah well, more fun for us.

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(Anonymous)
2007-08-25 01:27 pm UTC (link)
Thanks for the technical information about your ideas. Please write on this blog when your paper is on the web, so that I can download and read it.

As to something less technical:
You said that your "... usual table at the Claremont public library is currently occupied by a baby alligator and a kinkajou ..."
and
later you said that you are "... still writing while sitting on the floor, having been displaced by a small nocturnal mammal ... kinkajous are really cute. ...".

What happened to the baby alligator ?

Tony

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[info]mauitian
2007-08-25 03:07 pm UTC (link)
He went home.

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