Spacetime Paradox?

[Hyperreality]

In the Richard Feynman's Not-So-Easy Pieces, Feynman described the spacetime diagram is made up of three different regions:

1. Space-like
2. Affective Past
3. Affective Future

Feynman rised this problem

Would any paradox be produced if it were suddenly to become possible to know things that are in the space-like intervals of region 1?

If we were suddenly to become able to know things in the space-like interavals wouldn't that cause breakdown the principle of relativity? And the absolute speed of light in vacuum?

[quartodeciman]

Doesn't the Einstein-Podolski-Rosen conclusion say we can?

If we receive a fast moving particle at home at a certain time and determine which spin state it has assumed, then we also know the simultaneous spin state of its creation-time partner way out in space at the same time. No?