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What is the classification for a so-called "paradoxical" existence ?

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I will give you the scene in as much detail as possible so that you are in the best position to respond.

In the epilogue of Volume 23, after the final battle, the protagonist returns to his original world. He then revives his grandmother and sends her back to Earth. Later, that same grandmother goes on to have children, eventually leading to the birth of the protagonist himself.

However, this creates a problem.

How could the protagonist revive and send his grandmother back to Earth if she is the very person whose descendants would eventually give birth to him? Without her return to Earth, his parents would never have been born, and therefore neither would he. But if he was never born, he could not have revived her and sent her back in the first place.

This appears to be a classic causal paradox (or bootstrap paradox), where an event becomes both the cause and the consequence of itself.


My question is therefore : could this assign any kind of Hax based on the description I gave ?
 
Acau type 1:
 
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