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I have read the following from what seems a reliable source:

The identification of the spacetime interval with quantum phase applies to null intervals as well, consistent with the fact that the quantum phase of a photon does not advance at all between its emission and absorption. Hence the physical significance of a null spacetime interval is that the quantum state of any system is constant along that interval.

http://mathpages.com/rr/s2-01/2-01.htm

I have two questions: (1) Is this correct; (2) if it is correct, what is the physical significance of the value of the constant? So, for instance, what would it mean were the constant equal to one?

The identification of the spacetime interval with quantum phase applies to null intervals as well, consistent with the fact that the quantum phase of a photon does not advance at all between its emission and absorption. Hence the physical significance of a null spacetime interval is that the quantum state of any system is constant along that interval.

http://mathpages.com/rr/s2-01/2-01.htm

I have two questions: (1) Is this correct; (2) if it is correct, what is the physical significance of the value of the constant? So, for instance, what would it mean were the constant equal to one?

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