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It seems to me that acceleration has nothing to do with changes in wavelength.

Say that to a bow wave

In a sense with both SR and GR we approach the speed limit of the constant c. SR in inertial speed and GR down a gravity well. A lower energy position could be an increase in distance (dilation of space) light has to travel for its frequency. This has a corresponding distance light would travel in SR for inertial frequency of light creation. Dilation and speed being a relative reduction of available c.

That is the trouble with thinking of relativity in the known physical sense. Energy c of space could be looked at as more of a submarine.

There is only rotation and velocity in our universe.

It seems to me that acceleration has nothing to do with changes in wavelength. If we consider the dilation in relativity increasing (gamma factor) as we descend a gravity well the wavelength might be part of the space dilation by position. Using the atomic clock tick rate to determine the wavelength energy may be of some use in understanding ones wavelength energy position. In SR, clock tick rate is the relative speed between two clocks and the velocity of light. So on the Earth's surface we could claim we are in an inertial ship not accelerating. As we descend a gravity well we increase our speed relative to an SR speed increase. In a sense with both SR and GR we approach the speed limit of the constant c. SR in inertial speed and GR down a gravity well. A lower energy position could be an increase in distance (dilation of space) light has to travel for its frequency. This has a corresponding distance light would travel in SR for inertial frequency of light creation. Dilation and speed being a relative reduction of available c.