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 by Norbert Schwarzer
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Overview: 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.
Genre: Non-Fiction > Educational
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Requirements: .PDF reader, 2 MB
Overview: 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.
Genre: Non-Fiction > Educational
Download Instructions:
https://userupload.net/lzwc87dqacvj
https://dropgalaxy.vip/t7so6fr6xzy9
Trouble downloading? Read This.