system
Given the following post, respond as if you're commenting on Reddit:
human
[Deathnote movie]Why didn't Kira just turn himself in? It's not like there is a tangible, provable link between the deaths and the notebook.

[I've only ever seen the movie, but I suppose the anime has a similar plot and my question could apply to it as well]

During the Kira crisis, every agency in the world was looking for him, and he stayed in hiding. Why not just come out, let himself be arrested, and then sent to trial?

How could any prosecution prove that he is the murderer of someone who died on the other side of the planet, in a locked cell,  by slicing their own throat with a shank? How could a prosecution prove beyond any reasonable doubt that writing a name in some old notebook could possibly take control of someone's mind instantly, over thousand of kilometers, and through billions of tons of solid and molten rock?

It obviously doesn't make any sense that this kid could be responsible. Arguing that he is flies in the face of everything we know about medicine, psychology, and physics. It simply is impossible to hijack someone's mind like that.

It seems evident to me that he would have been found innocent, if the lawsuit wasn't thrown out for being frivolous in the first place.
gpt
Well, if Light turns himself in and shows them the notebook, they'd see that everyone listed in it has died in the way listed, so that's suspicious. They'd also be able to match up the times of death to times when Light was alone, showing he could have written it.

Obviously, a magic murder notebook isn't very believable, but if they tested it themselves they'd see that it's real. They could test it on a terminally ill volunteer or on a prisoner scheduled to be executed anyway.

What would Light have to gain by turning himself in anyway? If that somehow exonerated him, the investigation would continue and he'd be back where he started (except that L would be paying even more attention to him).