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Forum: Science, Math, and Philosophy

11-12-2006, 02:54 PM

Replies: 35

Poll: Spacetime

Views: 131

Posted By Metric

Re: Spacetime

"Quantum Gravity" is a book available through amazon.com or wherever -- it is by far the best and most complete LQG text yet written. Rovelli used to have a preprint version in pdf format linked on...

Forum: Science, Math, and Philosophy

11-12-2006, 02:55 AM

Replies: 35

Poll: Spacetime

Views: 131

Posted By Metric

Re: Spacetime

I see what you're saying now -- this is a rather subtle point. Let me quote from Carlo Rovelli's excellent text "Quantum Gravity."

"Recall that in classical GR we distinguish between a metric g...

Forum: Science, Math, and Philosophy

11-11-2006, 04:17 PM

Replies: 35

Poll: Spacetime

Views: 131

Posted By Metric

Re: Spacetime

[ QUOTE ]
So I saw that you get a Hilbert space spanned (in some sense) by some kind of labelled knotted graphs (up to diffeomorphism) in a manifold. And I see how they could be described...

Forum: Science, Math, and Philosophy

11-05-2006, 03:50 AM

Replies: 35

Poll: Spacetime

Views: 131

Posted By Metric

Re: Spacetime

[ QUOTE ]
But my instinct is that there should be an utterly discrete model of physics, which means I wouldn't even allow any kind of continuum at a fundamental level, not even the complex numbers...

Forum: Science, Math, and Philosophy

11-04-2006, 04:16 PM

Replies: 35

Poll: Spacetime

Views: 131

Posted By Metric

Re: Spacetime

[ QUOTE ]
I am a mathematician, not a physicist, so I only vaguely understand these issues. But isn't it obvious that this (the bolface part of the quote) is true. My question is, how could it be...

Forum: Science, Math, and Philosophy

11-04-2006, 11:31 AM

Replies: 35

Poll: Spacetime

Views: 131

Posted By Metric

Re: Spacetime

[ QUOTE ]

In general relativity, space time is continuous if I recall. So does string theory correspond with general relativity?

[/ QUOTE ]
At low energy/long distances, string theory...

Forum: Science, Math, and Philosophy

11-02-2006, 02:58 AM

Replies: 35

Poll: Spacetime

Views: 131

Posted By Metric

Re: Spacetime

If you directly quantize the gravitational field via loop quantum gravity, you find that the operators corresponding to area and volume have a discrete spectrum. String theory, on the other hand,...

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