Post by Jan VR
Post by Ken S. Tucker
It's a no-brainer getting the Schwarzschild metric once
you know the answer, in fact it's rather easy to derive
from E =hv (Plancks photon energy equation), once you
prove "h" is invariant,
Can you show me how ?
Well this is a start....
Begin with a massless lightbulb, and measure
the intensity of the bulb at various distances
using a 1 meter^2 receiver, basically measuring
light energy flux.
Well we know the photon intensity on the meter^2
is proportional to 1/r^2 in Newtonian physics.
In the early 1900's Planck established E=hf
(E=energy, h= constant, f=frequency).
Because of conservation of energy, light rays
(photons) going upward in a g-field, must loose
frequency, aka the Einstein shift. This gets
the metric g_00.
So now if we place a large mass M where the bulb
is, the intensity will reduce where the receiver
is, compared to when M=0 because of the *red shift*
of photons moving upward due to mass M>0.
To get the same photon intensity as when M=0,
the reciever will need to be set closer to the
M>0 bulb. That is why radial *length* shrinks
in a g-field, (g_11).
The Newtonian coordinates to retain the
conservation of energy are replaced by the KS,
coordinates accounting for E=hf in a g-field.
For ref see Weinberg's "Grav & Cosmo" pg. 84,
beginning with "Incidentally...", it's
uncredited, but I think reliable.
Jan, I think that will appeal to your "Nuclear Physics"
General Relativity Theory (GRT) is like a legal document,
and because of General Covariance is written in the
language of tensors, and may well be the toughest
legal document ever written.
I agree with your sentiment that General Relativity
(apart from GRT) is quite understandable using High
School algebra, that's laudable, and in simple situations
works well enough.
Because gravity is such an overwhelming phenomena
it probably deserves your attention.