Einstein general relativity

Relativity Einstein s theory invoking a constant speed of light, which divides into special relativity and general relativity, the latter describing gravity. 

A consequent 5-dimensional treatment would require Unified Theory of Quantum Mechanics and General Relativity. This unified theory is not available now, and we know evidences that present QM is incompatible with present GR. The well-known demonstrative examples are generally between QFT and GR (e.g. the notion of Quantum Field Theory vacua is only Lorentz-invariant and hence come ambiguities about the existence of cosmological Hawking radiations [19]). But also, it is a fundamental problem that the lhs of Einstein equation is c-number, while the rhs should be a quantum object. 

During my undergraduate years, 1935-1939, in Honors Mathematics and Physics at the University of Toronto, increasingly, I became interested in mathematical physics, picking up some elementary quantum mechanics and relativity. My first encounter with Einstein s general relativity theory (GRT) was in the substantial treatise of Levi-Civita on differential geometry, which ends with a 150-page introduction to GRT. This is a beautiful theory, which I presented in lectures from 1950 in Toronto because it had become the dominant orthodoxy everyone should know ... 

In Eq. (5), the product q q is quaternion-valued and non-commutative, but not antisymmetric in the indices p and v. The B<3> held and structure of 0(3) electrodynamics must be found from a special case of Eq. (5) showing that 0(3) electrodynamics is a Yang-Mills theory and also a theory of general relativity [1]. The important conclusion reached is that Yang-Mills theories can be derived from the irreducible representations of the Einstein group. This result is consistent with the fact that all theories of physics must be theories of general relativity in principle. From Eq. (1), it is possible to write four-valued, generally covariant, components such as... 

Hilbert [54] first pointed out this remarkable absence of energy conservation laws from general relativity, not long after Einstein published his theory. 

Pound worked with his associate, Glen A. Rebka, Jr., carrying out an experiment using the Mossbaucr effect to measure the gravitational effects of electromagnetic radiation and to test (lie predictions of Einstein s theory of general relativity. Pound s experiments continued and results predicted the Red Shift discovery. 

This was also the first Solvay Conference in which Einstein s Theory of General Relativity started to be quoted and used as a conceptual structure of fundamental importance for the interpretation of large-scale phenomena. 

It can therefore be inferred that 0(3) electrodynamics is a theory of Rieman-nian curved spacetime, as is the homomorphic SU(2) theory of Barrett [50], Both 0(3) and SU(2) electrodynamics are substructures of general relativity as represented by the irreducible representations of the Einstein group, a continuous Lie group [117]. The Ba> field in vector notation is defined in curved spacetime by... 

In 1916, Einstein published his work The fundamentals of general relativity [10], 11 years after he published his theory of special relativity [1,2]. Later, in 1954, he published a work to explain the differences and connections between special and general relativity [15]. In this work he gives the exact formulation of general relativity, with the following two postulates ... 

According to Einstein, instead of a referent body, the Gaussian coordinate system should be used. Einstein states that To the fundamental idea of the principle of general relativity corresponds the next statement All Gaussian coordinate systems are equally valid for formulations of the general laws of nature [15]. 

The first postulate of general relativity, and Einstein s explanation of it, is very important for the superluminal relativity. 

G. E. Tauber (Ed.), Albert Einstein s Theory of General Relativity, Crown, New York (1979). 

If these research design features had been mandatory, this chapter would be exceedingly short. Thankfully, undaunted researchers have collected a substantial amount of data that, when pressed against the filter of scientific rigor, yields at least indirect evidence. Still, there are times when indirect evidence is quite ample and convincing (e.g., Einstein s Theory of Special and General Relativity). 

---