Towards Quantum Einstein-Field-Equations: A Full Derivation of the Fundamental Equations to Quantum Gravity and some of its Applications in Space-Times of Arbitrary Numbers of Dimensions free ebook download.

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Towards Quantum Einstein-Field-Equations: A Full Derivation of the Fundamental Equations to Quantum Gravity and some of its Applications in Space-Times of Arbitrary Numbers of Dimensions free ebook download

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Author(s):	Norbert Schwarzer

Date:	2020	Format:	PDF	Language:	English	ISBN/ASIN:	B08NG6H22X
Pages:	1	OCR:		Quality:		ISBN13:
Uploader:	gestalt	Upload Date:	5/21/2021 10:02:53 PM

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It will be shown how Quantum Einstein-Field-Equations can directly be derived from the classical Einstein-Hilbert action [A1] by a simple generalization of the kernel of the latter. The kernel Hilbert had chosen in his famous work [A1], leading to the Einstein-Field-Equations [A2] in an elegant and purely mathematical manner, was the Ricci scalar R and this author is aware of similar trials by other scientists who had introduced arbitrary functions of that classical kernel like f(R). Our approach is different as it leaves the classical kernel, namely, the Ricci scalar, unharmed, but allows a scale factor to the metric tensor. This changes the Ricci scalar in such a way that immediately – as already shown by this author in a variety of papers (e.g. [A3 – A8]) – the most important classical quantum equations appear. Here in this paper, we will now evaluate the result of the Einstein-Hilbert action for such a generalized (scaled) Ricci kernel and thus, derive new Einstein-Field-Equations, clearly showing the characteristics of their classical analogue plus quantum properties in connection with the scale factor.
We therefore conclude that we have found Quantum Einstein-Field-Equations.
As our calculation is performed in an arbitrary number of dimensions, we result in very general forms of these equations.
It seems most intriguing that a surprising and rather dramatic simplification appears in a variety of dimensions and certain approaches or boundary conditions. In this case we suddenly find the Quantum Einstein-Field-Equations to be almost equivalent to the equations of linear elasticity… allowing for many interesting solutions, like:
a)Shear stress fields as spin fields
b)Spherical stress or strain fields as particles
c)Sub-space-time solutions
d)Time-planes and time-layer solutions, which could explain many features of our universe – including the thing (universe) itself – as impacts, imprints or indents
e)Quark-like 1/3 and 2/3 charges
f)And many other things
For illustration we are going to present some of these “applications” and try – here and there - for a brief discussion.
We also find, even though it will not be discussed in this paper, that the scaled metric approach, which is – so at least it seems - so nicely giving us the connection between Einstein’s General Theory of Relativity and Quantum Theory, apparently also delivers the necessary ingredients to R. Penrose’s "before the big bang hypothesis” [A9], which requires a scaled metric.

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Tags: Applications Arbitrary Derivation Dimensions Einstein-Field-Equations Equations Full Fundamental Gravity Numbers

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