How Do Mass Constraints Affect Space-Time Diagrams in the De Sitter Light Cone?

Cluelessluke
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Hey there!

I'm relatively new to this website and I have a quick question. If I have some function t(x), that is time for a given x, with a M (mass) constraint, namely...

M^2 = 1 --> Null

M^2 > 0 --> Time-like

M^2 < 0 --> Space-like

If I wanted to see what these space-time diagrams looked like for different curves, is it more complicated than simply just plotting this t(x) function with different masses? When I do this my answer is making close to no sense.
 
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Nevermind, I got it :)
 

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