There is no "effecting the physical attributes of the instruments" without some mechanism by which gravity exerts its effects. And that's what general relativity was put forth to explain. General relativity wasn't put forth to prove or even explain time dilation. It was put forth as a new understanding of gravity. How does gravity reach out and grab you and your instruments? At what speed does gravity act? Einstein answered all these questions with his theory of general relativity. The time dilating affects of general relativity are only a consequence, and a prediction, of the curved space explanation for gravity.I find it much more reasonable to assume that gravity is affecting the physical attributes of the instruments we are reading than to assume space is "curved".
This explanation of gravity has been tested in a number of different ways. The first test was showing that massless photons traveled in curved lines around the sun. Since that time, numerous experiments and observations of ever increasing accuracy have confirmed general relativity. Everything from gravitational lensing, to frame dragging, to Mercury's perihelion shift, to time dilation, have all served to confirm Einstein's picture of gravity.
Absolutely -- your assumption undermines the entire premise of the mathematics. You assume that gravity's time dilating effect is only the results of gravity effecting the instruments rather than because of the curvature of spacetime. But you fail to recognize that the equations show that the way gravity interacts with instruments in any way would be through the curvature of spacetime! There is no having it any other way. That would be like using hydrodynamic equations to predict how water flow through city sewers will effect rain run-off, all the while claiming that water doesn't actually flow through city sewers! How does that make any sense?Can you tell me how my assumption will not cater for exactly the same reliability in mathematical calculations?
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