I'm extremely leery about this, especially given what may constitute of 'evidence' may in fact be nothing of value.
Yes, the innocent have a right to live peacefully after trial. We have the presumption of innocent until proven guilty for a reason. I fear that if we allowed this, innocent people would spend their lives in fear of retrial because "evidence" arose leading to another costly trial and defense.
"Absolute" is also difficult to define. Even absolutely evidence can sometimes be explained away.
Absolute is difficult to define, I agree, and yes, it should be reasonable for people to live peacefully after trial. However, how can we impose absolute limits on the ability to try someone again, provided evidence comes to light? Should there be stringent restrictions? Yes. Should we be constitutionally unable to have retrials? I'm not so sure.