Mach's Principle Could Save the Gravitons
The requirement of the Mach-Einstein doctrine according to which reference systems are uniquely determined by gravity implies that gravity is not only described by the ten components of the metrical tensor gik of Riemannian space-time, but by all 16 components of the reference tetrads hi A (where g h h ik i A Ak = ). Therefore, accepting this requirement one is automatically led to gravitational equations of EinsteinMayer type (Einstein and Mayer 1931) specifying Riemannian apace-times with teleparallelism. Up to special-relativistic global Lorentz transformations, the teleparallelism realizes a uniquely determined physical reference system. Hence, the gravitational fields have localized energy-momentum components, and the gravitational waves correspond to numerable gravitons. Further, the Einstein-Mayer equations imply also the appearance of “wattless” fields acting as hidden-matter fields. It is just the existence of this hidden matter that breaks the local Lorentz symmetry of the GRT and determines the reference system. The hidden matter of the astrophysicists and the measurable gravitons of quantum gravity have the same origin, namely the teleparallelism of the space-time which is a consequence of the validity of Mach’s principle.