  The nature of 'time', 'space' and 'reality' are to large extent dependent on
our interpretation of Special (SRT) and General Relativity Theory (GRT). In SRT
essentially two distinct interpretations exist; the "geometrical"
interpretation by Einstein based on the Principle of Relativity and the
Invariance of the velocity of light and, the "physical" Lorentz-Poincar\'e
interpretation with underpinning by rod contractions, clock slowing and light
synchronization, see e.g. (Bohm 1965, Bell 1987). It can be questioned whether
the "Lorentz-Poincar\'e"-interpretation of SRT can be continued into GRT. We
have shown that till first Post-Newtonian order this is indeed possible
(Broekaert 2004). This requires the introduction of gravitationally modified
Lorentz transformations, with an intrinsical spatially-variable speed of light
$c(r)$, a scalar scaling field $\Phi$ and induced velocity field $w$. Still the
invariance of the locally observed velocity of light is maintained (Broekaert
2005). The Hamiltonian description of particles and photons recovers the 1-PN
approximation of GRT. At present we show the model does obey the Weak
Equivalence Principle from a fixed perspective, and that the implied
acceleration transformations are equivalent with those of GRT.
