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In light of the above, the Hulse-Taylor experiments support the anti-gravity coupling being crucial to the existence of the gravitational wave [10,13], and (3) being an approximation of weak waves generated by massive matter. Thus, it has been experimentally verified that (1) is incompatible with radiation.
It should be noted also that the existence of an anti-gravity coupling7) means the energy conditions in the singularity theorems [6,17] are not valid at least for a dynamic situation. Thus, the existence of singularity is not certain, and the claim of inevitably breaking of general relativity is actually baseless since these singularity theorems have been proven to be unrealistic in physics. As pointed out by Einstein [2], his equation may not be valid for very high density of field and matter. In short, the singularity theorems show only the breaking down of theories of the Wheeler-Hawking school, which are actually different3) from general relativity.
The theories of this school, in addition to making crucial mistakes in mathematics as shown in this paper (see also [11,28]), differ from general relativity in at least the following important aspects:
1) They reject an anti-gravity coupling7), which is considered as highly probable by Einstein himself.
2) They implicitly replaced Einstein's equivalence principle in physics3) with merely the mathematical requirement of the existence of local Minkowski spaces [5,6].
3) They, do not consider physical principles [9-11,28] (see also Section 5), such as the principle of causality, the coordinate relativistic causality, the correspondence principle and etc. of which the satisfaction is vital for a physical space, which models reality, such that Einstein's equivalence principle can be applicable.
Thus, in spite of currently declaring their theories as the development of general relativity, these theories actually contradict crucial features that are indispensable in Einstein's theory of general relativity. More importantly, in the development of their so-called "orthodox theory," they implicitly violate physical principles that took generations to establish. As a result, Einstein's theory has been unfairly considered as irrelevant in the eyes of many physicists.
Of course, the exact form of t(g)(( is important for the investigation of high density of field. However, it seems, the physics of very high density of field and matter is not yet mature enough at present to allow a definitive conclusion. For instance, it is unclear what influence the discovery of quarks and gluons in particle physics would have on the evolution of stars. It is known that atomic physics supports the notion of white-dwarf stars, and that nuclear physics leads to the notion of neutron stars.
5. Physically Invalid Unbounded "Gravitational Waves" and the Principle of Causality
"To my mind there must be at the bottom of it all, not an equation, but an utterly simple idea. And to me that idea, when we finally discover it, will be so compelling, so inevitable, that we will say to one another, 'Oh, how beautiful. How could it have been otherwise?' " -- J. A. Wheeler [32]. |
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