Sir I Haven't Thought So deep Yet because I Have just Imagined it Simply that What if a Time traveller Starts moving in any direction and After a certain number of steps it Travels back in time To its Original Position and then Changes it's Direction Towards another direction. And the idea goes on...
Sir I think Time travel Paradox means we are taking about the Consequences Occuring after someone Doing certain Things Going Back in Time. So Why would I Really need to Prove Time travel to imagine The consequences after it. As we have done in other paradoxes. Eg- Grandfather Paradox, Bootstrap paradox, Predestination paradox etc. Here we don't need to Proof Time travel only we are Imagining what may happen after it. So I think I still don't have anything Bad in my paradox. Cause it's simple Logic.