Why would a popular science article mention a very technical term that does not provide any additional insight?

Enlighten us with what that means and perhaps we'll be able to tell you why its not in the article...

Most common axiomatic geometry is Desarguian. Its projective.

https://www.encyclopediaofmath.org/index.php/Desargues_assum...

When light is bent while passing by a huge mass, this axiom fails so does the geometry.