gen x said:
Where do you find this information? Why would they use relativistics physics for engineering like automobile, naval, structure industry, weather forecast, aerodynamics (navier stokes ), etc?
In technical university for engineering we didnt mention relativity even once, in 5 years of study...
If I say I'm driving at 30mph you know that by convention I mean "relative to the local surface of the Earth". In every day life, even in law, we use this convention and it's fine. Nobody even thinks about the convention. Except physicists, because we frequently deal in circumstances where the convention doesn't or cannot apply. "I'm driving at 30mph" is, in physics terms, an incomplete sentence. It needs the "relative to" bit to complete it.
Any time you say "kinetic energy is ##\frac 12mv^2##", this is an incorrect statement, strictly speaking. A correct statement would be "kinetic energy is ##\frac 12mv^2##
using the Newtonian approximation", or "kinetic energy is ##\frac 12mv^2##
plus terms of order ##v^4/c^2## that are negligible for our purposes". Of course, nobody does this, and for much the same reason that we say "I was driving at 30mph" and not "I was driving at 30mph
relative to the local Earth's surface" - most people don't understand ennough physics to know why the qualifier is needed, and the rest understand that there is a conventional qualifier that we assume when one is omitted and it is safe to do so.
Engineers will use the Newtonian approximation without acknowledging that they are doing so because (outside some very specialist areas) they will always be able to neglect the relativistic effects, so acknowledging it in every formula would be a waste of time. But you want to step beyond engineering into fundamental physics, and in that context all your post says is "engineers don't realise they are using relativity albeit approximated". It doesn't mean they aren't, implicitly, using it.
There's absolutely nothing wrong with engineers usinbg Newton's formulae without understanding they are an approximation, by the way. For engineering purposes it's perfectly fine. But you aren't doing engineering here, and ignoring that something is an approximation because you personally would like it to be exact is a problem for you, IMO.