As is well known, GTR was constructed as a geometrification of physical
reality: GTR's attempt to describe gravity is purely geometric and
macroscopic. As such, there are some known limitations in GTR,
including:
a. Classical general relativity by itself is unable to
predict the sign of the gravitational force (attraction
rather than repulsion). Consoli (2000) also noted:
'Einstein had to start from the peculiar properties of
Newtonian gravity to get the basic idea of
transforming the classical effects of this type of
interaction into a metric structure.' In other words, it
seems that GTR is not the complete theory Einstein
was looking for.
b. There is no mechanism for gravitational forces: the
'graviton' has never been observed.
c. There is no convincing mechanism to describe the
interaction between matter, inertia, and space (Mach
principle is merely postulated).
d. There is no description of the medium of space.
Although Einstein apparently considered a perfect
fluid to describe this medium in his Leiden lecture in
1921 (Einstein 1921), he never attempted to theorize
this medium formally--perhaps for good reason.
e. It is quite difficult to imagine how matter can affect
the spacetime curvature and vice versa as postulated
by GTR (for instance H. Arp).
f. Using GTR it is also quite difficult to explain the so-called
'hidden matter' which is supposed to exist in
order to get average density of matter in the universe
that required for flat universe, Omega=1 (Chapline 1998).
Alternatively some theorists have shown we can
reconcile this issue using Navier-Stokes model
(Gibson 1999).
g. The spacetime curvature hypothesis cannot explain
phenomena in the micro world of Quantum
Mechanics. In contrast, by the Ehrenfest theorem,
Quantum Mechanics reduces to classical physics if we
use classical parameters consistently (see also Signell
2002).
V. Christianto,
The Cantorian Superfluid Vortex Hypothesis