First off, I have not denied that mathematics can describe reality, I have stated that math can become entirely abstract, give results that make zero sense if we fail to get a complete physical view of what they are explaining.
Now listen up, because here is the gist of it without getting lost in details.
Imaging that I told you that I have 2 chairs facing each other a short distance apart, and that if you sit in one chair and a trusted friend sits in the other you will both see that time has stopped for the other, and any amount of time may pass for either of you including a century if you could bare to sit in the chair for so long and you would still have seen no more than a second or so pass for your friend, and he for you.
Also if while sitting in the chair you measured the velocity of light, you would both measure the same velocities for the same light sources, indeed you would measure the speed of all light, even light around your friend to be moving at C despite the time dilation you see him experience and you would acknowledge that if he tries to measure the speed of that same light despite the time dilated state you see him in, he would see it is at C.
And now finally the moment you both stand up out of the chairs you both see the other is experiencing time in a normal manner again.
Both would expect to see the other has aged less.
Does that seem even vaguely possible? At all? To be right next to someone and both see that time isn’t changing for the other!
Because the difference between what this asks you to accept and what SR asks you to accept doesn’t really change the paradoxical nature of this one bit.
Yes motion can confuse the observation of the others time rate if observers are moving apart or together, but if they are not moving apart or together, either because they are passing, or some form of motion besides linear motion is involved then the difference between what I am proposing and what SR is proposing is really insignificant.
Any objection such as acceleration or the like only applies to derivations of the primary idea which has no such objections, except that the moment of passing is (very) brief or the 2 observers are not close (but are still not moving toward or away from each other).
If time dilation only occurred if acceleration was used momentarily to create the relative velocity, then time dilation would not be observed to take lace if the other party was ‘nat;ve’ to that reference frame.
Longer and closer does rub the paradox in your face harder, and yet if it is impossible to experience 2 feet away for a century then it is impossible to experience for a microsecond and a mile or more away.
If you can accept the paradox with the chairs in your mind as a possibility, then I certainly can’t convince you that SR is nonsensical.
However if you can not accept the paradox with the chairs, then you can’t accept the time dilation scheme that SR sets out is possible since there is no actually relevant difference.
As for General Relativity, I have never paid as much interest in it, although I am not entirely certain where the dividing line is between Special and General.
But I think almost everything I have covered relates to SR, except the equivalence of inertial force and gravity and the time dilation associated with both.