Robertson Walker Metric

General Relativity and gravity describe the universe with the large scale, and it is homogeneous and isotropic.


Prime numbers also move the same pattern.


This is called Robertson Walker Metric.

X=a(t)x, Y=a(t)y, Z=a(t)z

t is time.

∴　

dS^2=X^2+Y^2+Z^2


Then you describe a 3D space of constant curvature.








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