Does an Infinite Plane Have a Horizon?

In summary, the definition of horizon typically involves a sphere and is also used in the phrase "Event Horizon" in reference to the boundary beyond which events cannot affect an outside observer. However, on a classical plane that does not curve, the concept of horizon does not apply. If the plane were to curve to conform with space-time, the meaning of horizon becomes more complicated and requires further clarification for a response from experts.
  • #1
Does an infinite plane Have a horizon, forgive me if I'm asking it wrong.
 
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  • #2
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
 
  • #3
The "horizon" of an infinite plane would appear to be at "eye" level of an observer.
 

What is an infinite plane?

An infinite plane is a hypothetical two-dimensional surface that extends infinitely in all directions. It has no curvature or boundaries, and is often used in mathematical and scientific models.

Does an infinite plane have a horizon?

No, an infinite plane does not have a horizon. The concept of a horizon only applies to curved surfaces, such as the Earth, where the line between the sky and ground appears to meet at a distance.

Why is there no horizon on an infinite plane?

On an infinite plane, there is no curvature or boundaries to create a visual distinction between the sky and ground. Therefore, there is no point at which the sky and ground appear to meet, resulting in the absence of a horizon.

Can an infinite plane be seen from a distance?

No, an infinite plane cannot be seen from a distance because it has no edges or boundaries. It extends infinitely in all directions, so there is no point from which it can be observed in its entirety.

Does an infinite plane have a limit?

Technically, an infinite plane has no limit as it extends infinitely in all directions. However, in mathematical models, it is sometimes defined within a specific range or set of parameters.

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