Does an Infinite Plane Have a Horizon?

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ezarhadden
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Does an infinite plane Have a horizon, forgive me if I'm asking it wrong.
 
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The typical definition of horizon is:

http://en.wikipedia.org/wiki/Horizon

and involves a sphere. Horizon is also used in the phrase "Event Horizon" referring to the "boundary in space-time beyond which events cannot affect an outside observer." ( http://en.wikipedia.org/wiki/Event_horizon ). Because space-time "curve" in the presence of gravity, this term is consistent with the more traditional usage.

A "Classical plane" does not curve, and so the typical definition of "horizon" does not really apply; however, if you are assuming that a plane curves to conform with space-time then the meaning of "horizon" gets a bit complicated for my little brain, and you would need to clarify your question to attract a response from people better capable of answering that.

Fish
 
The "horizon" of an infinite plane would appear to be at "eye" level of an observer.