The speed of Light is frequency times wavelength.
Will let ν = frequency
Will let λ = wavelength
Where c = νλ
Where plank's constant is h
Where photon energy = νh
Gravitational potential energy is given as GMm/r
And a photon mass is νh/c2
We will write it as νh/c^2
It is not a rest mass.
So the potential energy of a photon to leave a gravitational well GM(νh/c^2)/r
So the photon will after leaving the gravitational well have the energy of ν'h
Where νh - GM(νh/c^2)/r = ν'h
And the new wavelength λ'
Where λ' = c / ν'
I may have left out some steps. But they can be inserted were needed.
Will let ν = frequency
Will let λ = wavelength
Where c = νλ
Where plank's constant is h
Where photon energy = νh
Gravitational potential energy is given as GMm/r
And a photon mass is νh/c2
We will write it as νh/c^2
It is not a rest mass.
So the potential energy of a photon to leave a gravitational well GM(νh/c^2)/r
So the photon will after leaving the gravitational well have the energy of ν'h
Where νh - GM(νh/c^2)/r = ν'h
And the new wavelength λ'
Where λ' = c / ν'
I may have left out some steps. But they can be inserted were needed.
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