Looking for Grandfather Paradox Theories (that say you can kill)

[bowtiesarecool]

NEW HERE!
I'm on the hunt for any research or published theories that say you CAN KILL YOUR OWN GRANDFATHER and you would still exist. ( NOT in a parallel universe. ) Basically the very fact you displaced your physical self in time would mean, even though you were not technically born, your physical body (and mind for that matter) would still remain in tact.

Have any such examples be talked about? I would love to read more.
Its a wonderful life is a similar example (although obviously not time travel)

Are you looking for permission to kill your grandfather?

 

[bowtiesarecool]

Oh, there is one other change. I now have a red jacket too. I don't know where it came from. Like it just popped into existence. Red just isn't a color I would wear either.

I have a necklace that appeared to me the same way. I found it one day in my bedroom several years ago. I had never seen it before. I don't know anyone who had one like it that could have left it behind. I still don't know where it came from. I never had one.

When I told this to a friend he told me he had recently found a ring in his bedroom the same way. It did not belong to him or anyone he knew either.

We could not figure it out. I still have no idea where the thing came from.