A time traveler from the future visits his past self

A time traveler from the year 2054 decides to visit his past self in the year 2022.

The time traveler knocks on the door and his past self answers.

His past self recognizes his future self immediately.

His past self says, “Oh my God! What are you doing?!”

The time traveler says to his past self, “I have come from the future. Heed my warning!”

“No, no, no!” says his past self. “You can’t do this! We’re not supposed to meet! It’ll cause a paradox in the…”

“Oh shut up,” interrupts the time traveler. “I traveled back in time just to tell you that nothing will happen in this situation. No temporal paradoxes. Just a causal loop. What is happening now is supposed to happen all along.”

The time traveler then pulls out a pistol and shoot his past self. His past self drops dead.

“Unless…” the time traveler cackles, “…I kill myself in the past. Then the future me should not exist! The paradox shall tear the fabric of spacetime into smithereens!”

But nothing happens. Because the time traveler was wrong.