Would you agree with notion?

EDIT: Title should read "Would you agree with THIS notion".

Take for example, human civilization. If we say civilizations have existed for 10,000 years, we know that in principle it's possible for information regarding the existence of these civilizations to have propgated some 10,000 light years away. Now, would you agree that with respect to places of the universe outside this 20,000LY diameter sphere, we can state that not only can we not prove these civilizations exist, but in fact they DON'T exist with respect to space outside the sphere?

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