Re: Is general relativity incompatible with the Newtonian limit?

"Igor Khavkine" <igor.kh@xxxxxxxxx> wrote in message
news:1127529917.861648.323050@xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
> Juan R. wrote:
> > In one of his last works Mathematical Foundations of
> > Quantum Theory. (Academic Press, Inc., 1978) Dirac claimed:
> >
> > Most physicists are very satisfied with this situation [refer to
> > divergences of QFT]. They argue that if one has rules for doing
> > calculations and the results agree with observation, that is all that
> > one requires. But it is not all that one requires. One requires a
> > single comprehensive theory applying to all physical phenomena. Not one
> > theory for dealing with non-relativistic effects and a separate
> > disjoint theory for dealing with certain relativistic effects.
> > Furthermore, the theory has to be based on sound mathematics, in which
> > one neglects only quantities that are small. One is not allowed to
> > neglect infinitely large quantities [...]
>
> However great a theorist was Dirac, he was wrong about this assesment
> of renormalization. Perturbative renormalization is based on sound
> mathematics *and* is capable of produce correct veriable (and verified)
> predictions.

... for the S-matrix and related properties, but not for the time dependence
of observables.

Eugene.

.

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