Hi Harry and Robin,

It's an experimental measurement all right, to one ppT all right. They
sequester a single electron for months on a large (0.1µm) circular
orbit and count photons as I understand, do have a look at the short
CERN paper (only the abstract in the beginning is in French, the rest
is in English) :

http://cerncourier.com/cws/article/cern/29724

I have OCR'd the "Dear Gerald" letter therein for you:

<<Dear Gerald...As one of the inventors [of QED], I remember that we
thought of QED in 1949 as a temporary and jerry-built structure, with
mathematical inconsistencies and renormalized infinities swept under
the rug. We did not expect it to last more than 10 years before some
more solidly built theory would replace it...Now, 57 years have gone
by and that ramshackle structure still stands... It is amazing that
you can measure her dance to one part per trillion and find her still
following our beat.
With congratulations and good wishes for more such beautiful
experiments, yours ever, Freeman Dyson. (Dyson 2006).>>

I find this impressive, especially considering that the (computer
assisted of course) theoretical computation, to the same accuracy,
involves accounting for such wonderful possibilities as the photon
going from the magnet to the electron turning into an
electron-positron pair and the latter recombining again into a photon
on the way, and this at any possible place in space-time, as explained
in Feynman's enlightening little (160 pages) 1985 QED book, see the
following excerpts from p.115 and following:

<<Finally, I would like to return to that number
1.00115965221, the number that I told you about in the
first lecture that has been measured and calculated so carefully.
The number represents the response of an electron
to an external magnetic field-something called the "magnetic
moment.">>

<<Laboratory experiments became so accurate that further alternatives,
involving four extra couplings (over all possible intermediate points
in space-time), had to be calculated, some of which are shown here. The
alternative on the right involves a photon disintegrating into a
positron-electron
pair (as described in Fig. 64), which annihilates to form a new photon,
which is ultimately absorbed by the electron.>>

<<I am sure that in a few more years, the theoretical and
experimental numbers for the magnetic moment of an electron
will be worked out to still more places. Of course, I
am not sure whether the two values will still agree. That,
one can never tell until one makes the calculation and does
the experiments.>>

Well, 20 years later, they still agreed all right, up to the 12th
decimal place... are you really sure we need a better theory Robin?
;-)

Cheers,
Michel



2009/3/2  <[email protected]>:
> In reply to  Michel Jullian's message of Mon, 2 Mar 2009 09:55:37 +0100:
> Hi Michel,
> [snip]
>>Robin,
>>
>>I may be wrong but all this sounds complicated and ad hoc, compared to
>>the standard quantum electrodynamics theory, which, although it often
>>goes against common sense (e.g. the "preposterous" things I
>>mentioned), does predict things nicely from a tiny set of rules.
>
> Does it really? I must admit to never having been deeply involved in quantum
> theory, but I get the impression, looking in from the outside, that in 
> practice
> "adjustments" are usually made until the "right" result is obtained.
>
>>
>>For example, to go back to the subject of your original question, can
>>Mills predict the next decimal places for the electron's intrinsic
>>magnetic moment (presently 12 or so)
>
> I doubt very seriously that there is a single physical quantity anywhere on
> Earth that can be measured with such accuracy/precision, for two reasons.
>
> 1) Measurement implies comparison with a standard, and I don't think we have 
> any
> standards that accurate/precise.
>
> 2) The measurement instruments themselves would need not to vary in *any* of
> their critical parameters by that degree of precision during the measurement
> process. I find it very hard to believe that this is the case. Furthermore the
> accuracy of those parameters also needs to be known with that degree of
> precision, otherwise the number is meaningless, even if the precision were
> valid.
>
> Here I use accuracy to describe the absolute value of a measurement, and
> precision to describe the number of decimal places to which the value is 
> known.
>
> However, to answer your question, I think the answer is no, but then he also
> doesn't (yet) take many of the smaller effects into account that influence
> precision at that level. IOW it doesn't necessarily mean that his theory would
> fail at that level if he were to try.
>
> BTW you shouldn't judge Mills by any representations I may make.
> [snip]
> Regards,
>
> Robin van Spaandonk
>
> http://rvanspaa.freehostia.com/Project.html
>
>

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