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- Path: sparky!uunet!zaphod.mps.ohio-state.edu!wupost!spool.mu.edu!agate!ucbvax!ucdavis!landau.ucdavis.edu!carlip
- From: carlip@landau.ucdavis.edu (Steve Carlip)
- Newsgroups: sci.physics,alt.sci.physics.new-theories,sci.skeptic,alt.paranormal,alt.alien.visitors,alt.conspiracy
- Subject: Re: The New Physics of "The Force" of "Star Wars".
- Message-ID: <20702@ucdavis.ucdavis.edu>
- Date: 4 Jan 93 17:46:17 GMT
- References: <C0B988.A5D@well.sf.ca.us>
- Sender: usenet@ucdavis.ucdavis.edu
- Followup-To: sci.physics
- Organization: Physics, UC Davis
- Lines: 47
-
- I'm probably going to regret this follow-up, but there's enough almost-physics
- here that I can't resist...
-
- In article <C0B988.A5D@well.sf.ca.us> sarfatti@well.sf.ca.us (Jack Sarfatti) writes:
- >[...]
- >1. Looking at Feynman's classic 1949 papers on quantum electrodynamics
- >(QED) from the 1992 perspective of quantum gravity suggests that the
- >"ultra-violet catastrophe" is easily avoided by using the Planck length
- >(i.e. 10^-5 grams = 10^-33 cm etc.) as the high-momentum/short wavelength
- >cut-off.
-
- Easily? Then you should by all means publish your results. The speculation
- that Planck length effects cut off divergences in quantum field theory has
- been around for years, and a lot of interesting work has been done, but no
- one has yet managed to find a way to consistently implement such a cutoff.
- Do you have a way to preserve approximate Lorentz invariance at low energies?
- Do you know how to avoid the divergences of quantum gravity itself? Is your
- cutoff at exactly the Planck length (no extra factors of two or pi)? Why?
- What variables are you applying this cutoff to? In general relativity,
- you can't just Fourier transform between position and momentum space, so a
- momentum cutoff is not necessarily equivalent to a length cutoff. How do
- you deal with overlapping loops in Feynman diagrams? Etc... The idea that
- quantum gravity cuts off divergences is a very nice one, and I hope it's
- true, but we're going to have to know a hell of a lot more than we do now
- before this becomes more than an interesting conjecture.
-
- >QED is "semi-classical" in that the spacetime metric is classical only the
- >photon and electron fields are quantized. The metric quantum fluctuates so
- >strongly at the cut-off that Lorentz symmetry breaks down. There is no
- >smoothness, no differentiability there. The geometry of quantum gravity is
- >fractal! Note that in semiclassical QED the worldlines of photons and
- >electrons are fractal but the metric is not.
-
- If the metric is nontrivial, Lorentz invariance breaks down independent of
- how strong the fluctuations are. And if by "the worldlines of photons and
- electron" you mean "the paths that contribute to the functional integral,"
- then you're not quite right here --- in quantum mechanics, nowhere-smooth
- paths dominate, but in quantum field theory, the dominant configurations
- are not even continuous (nothing so neat as a "fractal"). As for quantum
- gravity, no one knows what the geometry is like, or even whether geometry
- makes sense at the Planck scale. Again, if you have some real evidence for
- "fractal geometry," please publish!
-
- >[much more deleted]
-
- Steve Carlip
- carlip@dirac.ucdavis.edu
-