Friday, January 23, 2015

general relativity - How to determine "timelike"-ness without using a coordinate system?



It has been stated here that:



we can say, without introducing a coordinate system, that the interval associated with two events is timelike, lightlike, or spacelike



.

This assertion appears at variance with



Therefore I'd like to know:
How can be determined whether the interval associated with two events (which are given or characterized and distinguished by naming, for either event, the distinct individual participants which had been coincident at that event) is for instance "timelike", without using any coordinates and coordinate system?


Is it correct that the interval associated with two events (given as described above) is "timelike" if and only if there exists at least one participant who took part in both of these events?





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