Re: How active is research on other quantum gravity theories than



Eugene Stefanovich wrote:

> >>The Dirac field phi*(x) cannot be interpreted in this way.

you say is completely right. There is NOT position quantum operator in
RQFT. The imposibility for defining x in a relativisitc framework was
already proven by Landau and is the reason that RQM was abandoned and
substituted by RQFT where x is a parameter, NOT an observable.

Of course, this does RQFT incompatible with NRQM where x is an
observable and can be measured. This incompatibility was already noted
by Dirac. In fact, Dirac CLEARLY states that RQFT IS wrong due its
incompatibility with NRQM.

Dirac. Mathematical Foundations of Quantum Theory (Academic Press, Inc,
1978)

That RQFT is incompatible with NRQM is very well known for anyone who
studied RQFT, RQM, and QM with a few of detail.

I agree with you in that we need a NEW formulation of relativistic
quantum mechanics (already stated by Dirac in his above work, and even
partially predicted by Landau if one interprets his 'reject' of RQFT),
however i do not agree with many details of your specific theory.

In some time i will begin a new topic on this here.

*********************************************

Regarding research in quantum gravity all hyphotesis proposed UNTIL
TODAY are in a 'dead end'. Absolutely no significative advance has been
done.

None of alternatives to LQG and ST have provided significant advances.
NC geometry does not work, since there is not link between the
noncommutativity and quantum character, in fact, mathematicians call
'quantum' that physicists call 'classic'.

Penrose theory does not advance, other theories do not advance. Only
recently triangulation has achieved new advances in the study of
microscopic structure of spacetime. Curiously, models predict
REDUCCTION of dimensionality to 2, which contradices the increase
'predicted' by ST.

However, it is really difficult believe that triangulation models or
similar will be a quantum theory of gravitation (however, could sure
provide some useful thecniques).


Juan R.

Center for CANONICAL |SCIENCE)

.



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