Graybeard
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If the acceleration you refer to is gravity then this is an acceleration not only thru space but thru time. Spacetime.
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You have to be careful when making assumptions about motion through time. Because I think that's where Einstein's Equivalence Principal falls apart. Even though it is logical to equate gravitational weight with rocketship thust weight, it becomes apparent that time dilation comes into the picture for the rockship thrust. No accumulated time dilation effect occurs with gravitational weight. But this one observation does give clues about the nature of time that I haven't seen anyone theoretically explore.
Now let's get back to the "at rest reference frame" and the "accelerated reference frame." Since I pointed out that these reference frames are shared by both gravitational and EM phenomena, they really aren't the same because of the time dilation discrepency. It's almost as if there were different types of spatial manifolds present that have some things in common. But I tend to look at it as just different types of particles. Here we have two types of particles for EM and two for Gravity type phenomena. We know that particles usually come in threes. So that does logically suggest that there is a yet unobserved reference frame state for EM and Gravity. Call them anti accelerated reference frames. The antigravity reference frame has been suspected but I haven't seen anyone talk about an anti acceleration reference frame for EM phenomena.
Getting a little off topic here, so let's get back on track. My original post was directed at Rascal. I was curious about how the expansion of space could be related to gravity. Personally I just look at space as been a separate type of spatial manifold. Where time flows in the positive direction. Time flow in a gravity field seems to want to go in the opposite direction. Is there a logical way to connect the two?