So it seems like your drive system causes local acceleration. Thus it would, technically, cause relativistic time dilation, but again, I would submit my previously made points: practically, relativistic time-dilation doesn’t really matter for RP in this setting.
As a side note, unless something has changed, the maximum STL velocity is .375c. Look
here if you want more information about that.
To get back to the general point of relativity vs. quantum mechanics, I’ll have to disagree with SentientRace in saying relativity is “old” and isn’t “holding up” as well as quantum mechanics. First of all, special relativity is almost universally accepted across the scientific community and is extremely well supported experimentally; this is the most salient point because the issue you are worried about here is one of special relativity, not general relativity. But moreover, general relativity is still considered a very successful model of gravity. It’s true that it is incompatible with quantum mechanics, in its inability to model at extremely short, i.e. Planck, lengths, but to say string- or M-theory is better is not particularly useful as, in addition to merely being candidates at the time and not yet having reached acceptance across the community, they both are being looked at to provide a theory of quantum gravity and unify all scales of interactions; they aren’t required to replace general relativity on its own merits or in larger scale situations.
This is getting close to just being a physics argument and is sort of getting off-topic so I’ll sum up:
1 – In my view, there is no reason why relativity, both special and general, does not coexist with quantum mechanics within the physical properties of SARP. Just as both relativity and quantum mechanics are accepted, used for modeling, and studied in the real world, so too should they in the SARP; accepting, of course, their theoretical limitations.
2 – I cannot see any reason why we would discard special relativity, nor do I think existing tech articles and descriptions in the SARP imply that. Instead, I think its presence as a functioning model is born out by said descriptions.
3 – None of this really matters, because the practical limitation of forum roleplay and the set up of SARP in particular means that accounting for time dilation doesn’t really matter.
In essence, have fun making your tech and don’t sweat it.