On Wed, May 14, 2025 at 4:39 PM Alan Grayson <[email protected]> wrote:

*> The Coulomb field of a point charge diverages as the distance to the
> charge decreases to zero. Is this singularity resolved in the classical or
> quantum theory of E&M?*


*In classical physics the amount of energy in a point electrical charge
such as an electron is infinite, quantum electrodynamics avoids infinity in
a process called "renormalization". The point charge interacts with a cloud
a virtual particles that pop in and out of existence with each having their
own Feynman diagram;  the infinity from one part of the calculation is
canceled out by another infinity in another part of the calculation, so
you're left with a finite charge that agrees with experimental results
better than one part in a billion. It has been called the most accurate
prediction in the entire history of science.*

*Richard Feynman had more to do with developing renormalization than anyone
and received the Nobel prize for it, but he was never satisfied with it
because, although it worked wonderfully well,  this canceling out
inconsistencies business is not mathematically rigorous and so it cannot be
proven to contain no inconsistencies. Feynman said this:*

*"The shell game that we play is technically called 'renormalization'. But
no matter how clever the word, it is still what I would call a dippy
process! It's a way of sweeping the problems under the rug."*

*A few years later during his Nobel Prize acceptance speech he said: *

*"It has not yet become obvious to me that there's no real problem. I
cannot define the real problem; therefore, I suspect there's no real
problem, but I'm not sure there's no real problem."*

*John K Clark    See what's on my new list at  Extropolis
<https://groups.google.com/g/extropolis>*
w3v7f2



>

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