mgh as a linear equation is calculating the gravity field as a positive calculation, but the gravity field is reducing by the inverse square law at h. (As an integral we would see the Riemann geometry that forms part of GR.)

Not sure what you mean by a positive calculation, but g(h) = g(0) (R/(R+h))^2 where R is the radius of the earth. So substituting R = 6,371,000 and h = 25 we get g(h)/g(0) = 0.999992 for a 25 meter height increase, 1 part in 10^6 difference. Compare this with the measured Pound-Rebka frequency shift of 2.5 x 10^-15 and I think you will see that there is a bit more to it than merely variaton of g with h.

Generally, all the most useful physics books I've read provide explanation of maths in word format as a given... I'm not sure why your h is in brackets, so on, but I think I get overall jist...

However... (If calculating g as 9.807m|s^2,)... g*h 'adds' only positive value, when the gravity field is reducing, which should result in a partial subtraction of a negative value.

This equation 'could perhaps' work with the idea of inverted time dilation because as the gravity field reduces, the time period of a unit of time is gravitationally dilated. (lengthened). Therefore the negative value of g at h becomes the positive value (ie: g*h), and by subjecting the acceleration of g to the speed distance time formula, (on basis that speed of gravity is equal to speed of light), a time value can be extracted and added to the value of a standard time unit... We can now see that time periods are extended as gravity field is reduced, and that the difference between the linear and the integral calculations 'are' inverted time dilation related, and another gravitational constant is responsible for an attractive force, while accelerations of gravity are time related.

m*g*h then calculates mass at h inclusive of inverted time dilation, and the additional potential energy due to the mass of the object will increase the frequency of the object or process of the object being measured.

Now both calculations can be said to describe that an increase in energy will cause an increase in frequency. An increase in strength of gravity field will cause an increase in frequency for massless particles due to the increased energy of the gravity field, and an increase in gravity potential energy will cause an increase in frequency for anything with mass raised into the weaker gravity field.

The gravity field will shift energy for all mass sizes proportionally, but it will shift energy in the gravitational field equally for massless entities, and we observe that frequency changes are related to Planck's h constant (energy associated), via wavelength.

Then...because my theory states the phenomenon of time itself as energy related - Planck's h constant, being a per 'standard' second squared measurement, the measured phenomenon itself is subject to an increase in energy, causing an increase in time for that phenomenon. Increases of joules per second squared, can then be transposed to being a linear consideration and quantum is not quantised.

These being an entirely mathematically proportional, (I think), alternative means of considering the same observations.

In the PR, the man made Doppler shift was matched by 'something' in the gravity field...