I have two question on Timelike loops for which I have trouble to get clear answer.
In sapecial Relativity Einstein synchronisation is required implivcitly hence Lorentz transformatioin apply. How that works in Goedel universe?
When the clock at departure base point is t=zero when time travrel starts, it freely rotates with the universe (hoping centrifugal force is balanced), but there will be no 0 time ever after let alone less than zero as the display has no minus sign. For that to happen the whole universe must be rotating backwards to where it was just because time traveller decided to take time travel and return. And also because of that, the clock must learn how to uncount the ticks.
Something is not right here