Quest (part e) to solve the Singularity problem for the Schwarzschild metric
In order find the true meaning of mass we need to extract the classical quantum equations from the General Theory of Relativity.
This is simpler than often thought or taught. Here is the most simple recipe in the case of the massless Klein-Gordon equation:
- Take the metric of the flat space g_ij with trace g_ij={-c^2,1,1,1} and
- multiply it with the square of a function f=f[t,x,y,z], thereby forming the new – “quantum” – metric G_ij=g_ij*f^2
- now evaluate the Ricci-scalar and set it to zero R=0
- you will see that with R=0 you have obtained the classical Klein-Gordon equation without mass
Please note that in spaces with different numbers of dimensions the quantum-metric G_ij requires a more general form if one insists on obtaining the massless Klein-Gordon equation.
We may write this general form as follows:
G_ij=g_ij*F[f]
The interested reader may find more information in [1] or – shorter – in [2].
Within the next posts to this topic we will demonstrate how the mass can be added via the entanglement of dimensions and how the classical Dirac equation can be obtained.
[1] N. Schwarzer, "The World Formula: A Late Recognition of David Hilbert ‘s Stroke of Genius", ISBN: 9789814877206 (hardcopy available in print in September 2020 from T&F and Jenny Stanford Publishing)
[2] N. Schwarzer, “Societons and Ecotons - The Photons of the Human Society - Control them and Rule the World: Part 1 of Medical Socio-Economic Quantum Gravity”, Self-published, Amazon Digital Services, 2020, Kindle
#singularity #quantum #cosmology #worldformula