On Twin Paradox

Just watched a video on Twin Paradox. Lively discussion at comment section. Many noted that Twin Paradox is not really resolved. Standard explanations merely gloss over inconsistencies.

Authorities claim that there are many empirical supports for special relativity. But what does an empirical support for an inconsistent theory really mean? For an inconsistent theory, there could be many different explanations. Whatever happens could be regarded as empirical supports.

For the case of muon decay, the acceleration is so big, from zero to near the speed of light in such a short time. The framework is non-inertial. Probably it is not good empirical evidence for special relativity.

Here is the video.

https://www.youtube.com/watch?v=F8hmyOin2Nw