Special and general relativity

Weinberg, S., 1972, Gravitation and Cosmology, (John Wiley Sons, New York), covers special and general relativity and applications in the fields of astrophysics and cosmology. 

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 ... 

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). 

Of course, nxn tensors of rank 2 can be defined for dimensions n > 3 They occur frequently in four-dimensional special and general relativity theories. 

Not only the laws of Nature but also all major scientific theories are statements of observed symmetries. The theories of special and general relativity, commonly presented as deep philosophical constructs can, for instance, be formulated as representations of assumed symmetries of space-time. Special relativity is the recognition that three-dimensional invariances are inadequate to describe the electromagnetic field, that only becomes consistent with the laws of mechanics in terms of four-dimensional space-time. The minimum requirement is euclidean space-time as represented by the symmetry group known as Lorentz transformation. 

While, even accepting discrepancies by a factor of O 2, the fulfillment of Eqs. (l)-(7) does not constitute proof of Planck-power input, it at least seems suggestive. Could Planck-power input, if it exists, be a classical process independent of quantum effects, if not absolutely then at least via opposing quantum effects canceling out, as h cancels out in the division Ppianck = Planck / Planck Note that perhaps similar canceling out obtains with respect to the Planck speed /pianck/f Planck = c c is the fundamental speed in the classical (nonquantum) theories of Special and General Relativity. 

Keywords Klein-Gordon equation Maxwell s equation Complex symmetry Jordan blocks Special and general relativity Electromagnetic and gravitational fields Schwarzschild radius... 

In this chapter, we will focus on some irreconcilable viewpoints in physical and mathematical sciences. In particular, we will concentrate on the problem to unify quantum mechanics with classical theories like special and general relativity as... 

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