The way I was able to remove the conceptual difficulty of closed surfaces as complete surrounding envelop is to map the Hopf topology by 1 to 1 correspondence onto a Moebius topology then into a Klein bottle topology. Common sense dictates there should be an inside and an outside or past and future to a spacetime direction but Moebius topology is not orientable in space or in time and a motion around it would need 2 revolutions (720 degrees instead of 360 degrees) to return the topology to its initial state. The same happens in quantum mechanics regarding spins.


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