Instead of insisting to work on quantum gravity, Pantur eventually followed the advice of Goldberg to change the subject for his dissertation : to amputate the principle of General Relativity using Poincare Group to find a physical quantity that is conserved in gravitational radiation.
12.
The point to be made is that the field operator transforms according to a finite-dimensional non-unitary representation of the Lorentz group, while the creation operator transforms under the infinite-dimensional unitary representation of the Poincare group characterized by the mass and spin of the particle.
13.
For these special topics, see the referenced articles, as the presentation below will be principally confined to the mathematical structure ( Minkowski metric and from it derived quantities and the Poincare group as symmetry group of spacetime ) " following " from the invariance of the spacetime interval on the spacetime manifold as consequences of the postulates of special relativity, not to specific application or " derivation " of the invariance of the spacetime interval.
