[Physics] About the Einstein Coupling Constant kappa in EFE

Ruud Loeffen rmmloeffen at gmail.com
Sun May 13 15:20:28 CEST 2018


Dear members of Physicslist.

The information about EFE (Einstein Field equation) that I could find until
now indicates that this equation impacts a lot of tensors and are indeed
very difficult to calculate
In Einstein Field Equations ( http://www.spacetime-model.com/files/efe.pdf
) We read:
“This constant κ is called “Einstein Constant” or “Constant of
Proportionality”. To calculate it, the Einstein Equation (134) must be
identified to the Poisson’s classical field equation, which is the
mathematical form of the Newton Law.” This paper is extremely difficult for
me. If you follow the traces of the EFE in Wiki, you find connections with
Jacobi field, with co-variant derivatives with respect to the Levi-Civita
connection, Newton-Euler equations, and the Riemann curvature tensor. In
Riemannian geometry, a Jacobi field is a vector field along a geodesic in a
Riemannian manifold describing the difference between the geodesic and an
"infinitesimally close" geodesic. In other words, the Jacobi fields along a
geodesic form the tangent space to the geodesic in the space of all
geodesics. As Carl Johnson pointed out: Riemannian equations are extremely
difficult to resolve. I found many of these calculations in extremely
difficult to read papers. I never found some concrete calculations about
the velocity of planets and other kinds of data that are interesting to
know about. Until now I could not find any concrete calculation about this
EFE: for example, a star with orbiting planets. I read about all these
tensors and equations and I believe that they are all true.

*However: My point of view is, that all these tensors together are
summarized and compressed in a clear equation with just 3 parameters and
can be explained in an easy to understand and plausible meaning.*
.
In this file "Around kappa"
<https://drive.google.com/open?id=1UdlyNGgeNhsQejHNRSmfrc_qdL7__uG9> you
find my explanation in detail. So far, I could not find a similar
explanation anywhere.
Still I am very convinced that it is true. May be: any one knows this. But
I don't think that any one knows. I came to this insight by using the (y-1)
function and the VRMS value and then go back to the Gravitational Constant
of Newton. Otherwise I would not have invented this explanation. This paper
might be time consuming. If you don't want to spend too much time you could
start with my answer on a Quora question about EFE. Please see:
https://www.quora.com/What-is-the-intuition-behind-the-Einsteins-field-equations/answer/Ruud-Loeffen

I hope to receive some comments:
* Is my explanation an open door: every body who studied the EFE and the
Einstein Coupling Constant knew this already?
* If not well known: do you agree on my reasoning?

This topic is discussed already by Tufail Abbas and me. We try to find a
connection with Quantum Mechanics and the Electrical Constant (Coulomb
Constant)..

Best regards.

Ruud Loeffen.
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