Time is a monotonic strictly increasing single valued real parameter that exists in spacetime. Here we consider an observer in his rest frame belonging to the Minkowskian spacetime. The order of the sequence of events on his World line is strictly preserved in the sense that the order of the sequence of events remains invariant under Lorentz transformations in Minkowskian spacetime: because the world line of the observer is always time-like.
In this paper the author establishes the theorem that if propertime [in flat spacetime] is an ordered mathematical field, no closed timeloop can exist in Minkowskian Space. He shows isomorphism between real number field and the timelike worldline of an observer being spacially at rest in flat spacetime. For this, the author constructs an Event Field Algebra by introducing two binary operations in flat spacetime.
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Email Author: sudhakarang@hotmail.com