I expect a theory of everything to be scale-symmetric, by which I mean, the laws of physics work the same for very large things as very small things.
Scale invariance is not a novel idea. Scale invariance is believed to apply to some things and not others … because of evidence. Your novel claim would be that scale invariance applies to everything. But what’s the evidence for that?
First question: Is Lorentz Contraction real, in the specific sense that two spaceship captains whose ships are traveling at different speeds will observe/measure different distances between themselves in proportion to their velocity?
The answer to this question is “No.” “Yes” violates one of the basic assumptions of relativity, in that it creates a privileged frame of reference, because if they measure different distances, they can identify which ship is “really” in motion relative to the other—it is the ship which measures a shorter distance.
The answer is “no” because they have the same velocity relative to each other. That’s standard physics, so you are not disproving anything.
(It never ceases to surprise me how many physicists will insist the answer to this question is “Yes”.
Scale invariance is not a novel idea. Scale invariance is believed to apply to some things and not others … because of evidence. Your novel claim would be that scale invariance applies to everything. But what’s the evidence for that?
The answer is “no” because they have the same velocity relative to each other. That’s standard physics, so you are not disproving anything.
Can you name any?