|Feb13-06, 08:43 AM||#1|
Nice Landscape Paper
This is an easy to read paper by Hawking and Hertog that takes a top-down look at the landscape. It uses the path integral approach to look at different histories with certain constraints. I spose I like it because it reminds of the CDT paper I so enjoy. It's worth a look at least.
|Feb13-06, 09:41 AM||#2|
There is a connection with Hawking's Euclidean Path Integral.
the CDT approach is something like a grandchild descendant, and Loll papers often cite Hawking. I am not certain of the dates but it's something like this.
Hawking worked out his approach to quantizing gravity in the 1980s.
It was a path integral---meaning a weighted average (roughly speaking) of all possible spacetimes that begin and end some specified way---analogous to a Feynman path integral weighted average of all possible paths a particle can take to travel from some specified here to there.
Around 1990 some people, including Jan Ambjorn, started researching a Dynamical Triangulations path integral. It wasn't the "causal" version---it was an earlier version. Ambjorn's was a close relative of Hawking's path integral.
Again a weighted average of all possible spacetimes that begin and end some specified way. The 1990s Ambjorn papers cite Hawking. Then in 1998 Loll got together with Ambjorn and they worked out the CDT approach. This was "Lorentzian" rather than "Euclidean" in that it used simplices that were chunks of Minkowski special relativity space---and stacked the simplices up in a way that respected causal ordering.
But despite the emphasis on Lorentzian/causal instead of Euclidean, the Loll CDT approach is still a direct descendant (by way of Ambjorn's earlier DT) of Hawking's. And the 2004 CDT papers cite Hawking quite a bit, if I rember correctly.
I believe you are referring to a kind of FAMILY RESEMBLANCE, basically the fact that both are path integrals (applied to spacetime) and this is something that Hawking pioneered.
But you may be picking up on something else, which I am missing.
I looked at the recent Hawking Hertog paper a few days ago, but not at length. I will take another look at it in light of your comments. Thanks.
|Feb13-06, 09:49 AM||#3|
Duke, you can find some comments by selfAdjoint and Kea about the Hawking Hertog paper here:
it is a thread called "Hawking landscape paper"
the discussion didn't get very far yet, but it is some comment
|Feb13-06, 06:26 PM||#4|
Nice Landscape Paper
Oh, I'm sorry I completely missed that other post(I don't know how.) Yes, it was the path integral similarity that I liked. The CDT(I believe it was "The Universe From Scratch") paper was very nice in that it took the time to explain how you could use the path integral to find an average of things other than particle positions. I was familiar with the path integral in the study of just "pop physics", but I am trying to learn some maths that will allow me to have a better understanding than that. Thanks for the wonderful explanation, too.
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