Alan - as the points of difference in elevation for both light and the clock are measured at ground level in relation to 1 meter in my given example - 1 observer is observing both clocks simultaneously, and both positions of measurement for the light. There are NO above and below considerations as you suggest. A third clock can be added at 2 meters elevation, and even if the observer is a dwarf, given that he has a step ladder, he will observe that the middle clock is lower in frequency than the higher clock, but that it is higher in frequency than the clock on the ground. (edit: and that the light travelling away from Earth has a lower frequency than it did on the ground at 1 meter elevation, and an even lower frequency than elevation 1 meter when at position of 2 meter elevation, this being the opposite direction of change in frequency in the gravitational field to the experience of the clock). What you are saying regarding the observer status is rendered meaningless. It's been proven by experiment that these are NOT observer dependent phenomenon, but happen regardless of an observer... The reason why an observer 'with' a clock thinks that 'his' clock is correct and every other reference frames rate of time is incorrect, is because his atoms are being similarly gravitationally affected in their usual proportion to, and in keeping with, the clock's atomic mechanism...

Jeff - the problem is:

If you drop the caesium atomic clock from a height above Earth, it will also have kinetic energy, which if we add to the clock, will increase its frequency (electron cloud energy transition) as it drops - ***but a clock placed in a lower gravity potential relative to a higher gravity potential will have a decreased frequency for a slower rate of time***

Accelerate the clock in a uniform gravitational field - an increase in kinetic energy will also occur, which if we add to the clock will increase its frequency (electron cloud energy transition) for a faster rate of time - ***but a clock in motion relative to a stationary clock is observed by experiment to run at a slower rate relative to the stationary clock, not a faster rate.***

Using kinetic energy as book keeping for light doesn't work when applying the process to mass, it would seem!

In any case this is my last post...

(which is, Alan, the closest you will ever see me come to numerology (chuckle))...

Here I offer an alternative means of retaining the constancy of the speed of light in a gravity field, whilst also holding the concept of 'open space distance' as constant...

This alternative model transposes the phenomenon of the 'acceleration of gravity' into a phenomenon of 'inverted time dilation':

(as an additional phenomenon to GR time dilation, 'not' instead of GR time dilation)

1 meter divided by speed of light = 3.3ish nano seconds.

Add meters per second squared of acceleration of gravity to 299 792 458 meters.

Divide by speed of light.

Subtract 3.3ish nano seconds from result.

Dimensional analysis of above calculation:

L is equal to 299 792 458 meters

M is equal to gravitational acceleration

T is equal to L+M/c minus 3.3ish nano seconds for the extra length of time of a 'longer' second relative to a standard second.

(When M is greater than 9.807m/s2, an altered calculation is required: L+M minus 9.807m/s2, divided by c, minus 3.3ish nano seconds, for a negative result and the lesser length of time for a 'shorter' second relative to standard second)

L and T, or L1 and T1 etc, will always be equal in proportion to each other no matter the circumstances of M.

(I realise that I should (under the remit of dimensional analysis) also be able to give M a numerical, but it's beyond me.)

Matching these extra or lesser nano seconds to the extra or lesser length in wavelength of light undergoing frequency change in the gravitational field via a division of the extra or lesser length of wavelength by the speed of light - would, of course, be peachy!

""Particles are very helpful, they lend themselves to everything!!!"

Bye everyone, all the best to you all! If anyone wishes to contact me, I'm on private message...

P.S. Oh, and I almost forgot... congratulations Jeff on becoming a moderator. You must be pleased as punch. Not so wasted in application now, aye

. Good for you!