A "Lorentz-Poincaré" - Type Interpretation of Relativistic Gravitation

Physics

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Lorentz-Poincar&Acute, E Interpretation, Weak Equivalence Principle.

Scientific paper

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 Φ 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.

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