The Grandfather Paradox: Time Traveler's Edition

Welcome, time traveler, to the most epic paradox in the multiverse! You've managed to kill your grandfather before he had kids, preventing your own birth. Congratulations!

But wait, isn't that just a classic case of Predestination?

Or maybe you're just a time-traveling assassin, sent back to eliminate a potential threat to the space-time continuum. Either way, you've got some explaining to do.

Here's the thing: if you never existed, then how can you be here, reading this message? Is this some kind of meta-temporal feedback loop?

Don't worry, we're not judging you. Yet.

But seriously, folks, the paradox is self-sustaining. You can't change the past, but you can change the future. Unless you do, in which case... Time Traveler's Dilemma.