I noticed you were expecting a standard distance for your meter stick. Relativity shows us there is no standard meter stick. Time slows distances increase to measure the same speed of light in every frame. SR is a special increase through space. GR is dilation of space itself as a gradient of course. So the physical size of the measuring stick increases to compensate for the dilated space for light to transverse. Light produced in gravitation causes red shift in light frequency.
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