[FOM] Question about theoretical physics
Nik Weaver
nweaver at math.wustl.edu
Fri Feb 22 12:39:05 EST 2013
Joe Shipman wrote:
> If my account is correct, then even the supposedly well-established
> theory of Quantum Electrodynamics does not have a valid mathematical
> foundation, because it unjustifiably assumes convergence of the relevant
> series.
Yes, at least for now QED in 4 spacetime dimensions does not have a
valid mathematical foundation. This is considered one of the major
open problems in mathematical physics. The Wikipedia article on
"Constructive quantum field theory" is a good place to start (here
"constructive" is used in a rather odd way, to mean "coming up with
a mathematical model which can justify the physical recipes").
Nik
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