Applied and Pure Research Institute, 7 Taggart Drive, Unit E, Nashua, NH-03060, USA
Bondi, et al (1959) considered their unbounded metric as a weak wave from a distant source, but they were unaware that their "wave" violates the principle of causality. However, the claim of the Royal Society on the inconsistency between Einstein's "covariance principle" and Einstein's requirement for weak gravity is valid. Although his requirement is crucial for having agreements with observations, it may not be compatible with a Lorentz manifold. Thus, there was no general consensus. However, the principle of causality enables us to show that Einstein's requirement is valid on source-induced gravity. Moreover, there are counter examples for Einstein's covariance principle although it is needed for Einstein's theory of measurement, whose justifications are actually based on invalid applications of special relativity. Einstein's covariance principle is also inconsistent with his equivalence principle. It is pOinted out that not only his theory of measurement is not used in his predictions, but also leads to disagreement with observations and theoretical inconsistency. The valid spatial measurement is based on the Euclidean-like structure; and this is what Einstein actually practiced in his calculations.
Einstein's equivalence principle, Einstein-Minkowski condition, prelimi nary assumption of equivalence, Principle of causality, Covariance principle, Euclidean-like structure, Source-induced gravity.
