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| Ken S. Tucker... |
 Posted: Sun Nov 01, 2009 8:08 am |
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Guest
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On Oct 30, 10:25 am, "Jay R. Yablon" <jyab... at (no spam) nycap.rr.com> wrote:
[quote]In the file linked below, I have laid out an exercise upon which I would
appreciate your feedback:
http://jayryablon.files.wordpress.com/2009/10/path-integration-of-the...
Basically, I am attempting in the three respective sections of this
exercise to:
1) Integrate-by-parts, the classical electrodynamic action, in curved
spacetime, retaining the boundary term (a suggestion earlier made by M.
Hopkins). (The result is equation (1.10))
2) Quantize this action, using the Path Integral method. (The result is
equation (2.15))
3) Apply the Wick method of successive differentiation, to develop the
Green's functions for QED in curved spacetime, with the boundary term
included in, and indeed integral to, this calculation. (This result is
in equation (3.3 )
I have done all of this spacetime, and not yet attempted any conversions
over into momentum space, recognizing that this is seen to be
problematic in curved spacetime. Thus, I felt it prudent to push this
development as far as possible without yet crossing the bridge of how
one carries out harmonic analysis (the analog of Fourier analysis) in
curved spacetime. (See a related thread on this topic, titled "What
Happens to Fourier Transforms in Curved Spacetime?")
My next step is to tackle the question of harmonic analysis in curved
spacetime, and the above development establishes the context within
which I am motivated to consider this question.
I would like at this point, to know if I am more or less doing the right
things so far.
Thanks,
Jay
____________________________
Jay R. Yablon
Email: jyab... at (no spam) nycap.rr.com
co-moderator: sci.physics.foundations
Weblog:http://jayryablon.wordpress.com/
Web Site:http://home.roadrunner.com/~jry/FermionMass.htm
[/quote]
We study signal analysis to improve our products,
for your pleasure run the loons WAV or ASF from here,
http://www.trak4.com/earco/index.html
Was that digitized from analog !?!
Obviously we convert acoustics to electronic current.
What I understand is 'power' (W) is quantized, so if we were
to slow time, an acoustic signal would be converted to clicks,
even in electromagnetic relations moving electons via photons,
as an acoustic signal is transmitted by wire, so at a basic
level the Fourier Transform is subsumed into an arithmetic.
I suppose there is pedological considerations by using the
Fourier, but in the 'down and dirty' basics of physics, we're
pushing and pulling electrons (molecules) via photonics.
I'm suggesting an AC current (acoustics) as it's familiar,
that is done with air, wire or fiber optics.
Regards
Ken S. Tucker |
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