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Full Member
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Apr 4, 2009, 10:46 AM
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Do parallel lines ever meet?
OKay, consider this:
If 2 parallel lines fall into a black hole, will the meet (or intersect)? Since black hole squeeze space and time together, I think that the parallel line will eventually meet.
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Uber Member
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Apr 4, 2009, 11:14 AM
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You don't need something as exotic as black holes - 2 parallel lines on the equator of the earth will meet at the poles. It's a result of the earth's positively curved geometry.
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Full Member
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Apr 4, 2009, 11:22 AM
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Wow! Thanks
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Ultra Member
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Apr 4, 2009, 02:15 PM
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Originally Posted by survivorboi
If 2 parallel lines fall into a black hole, will the meet (or intersect)? Since black hole squeeze space and time together, I think that the parallel line will eventually meet.
Parallel lines only exist in Euclidean space. There is no concept of black holes in Euclidean space. The squeezing of space and time has not been defined in that space.
By definition, parallel lines never meet. Your hypothetical question is not possible to answer.
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Junior Member
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Apr 6, 2009, 12:13 PM
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Originally Posted by Capuchin
You don't need something as exotic as black holes - 2 parallel lines on the equator of the earth will meet at the poles. It's a result of the earth's positively curved geometry.
In the case of lines intesecting at the poles, then they wernt really parallel in the first place.
The very definition of "parallel" means that they don't intersect
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Uber Member
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Apr 6, 2009, 01:01 PM
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Originally Posted by ngasnier
In the case of lines intesecting at the poles, then they wernt really parallel in the first place.
The very definition of "parallel" means that they dont intersect
You're right, but I was trying to explain it simply and perhaps muddled my terms - I meant 2 lines on the equator that initially appeared to be parallel - i.e. 2 lines at right angles to the equator.
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Uber Member
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Jun 2, 2009, 11:45 AM
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Originally Posted by stratmando
A car driving around the equator leaves 2 parallel lines and DON'T meet at the poles. Balancer
And? The lines have to be parallel at the equator, but neither of the lines touch the equator. This is not the case I specified..
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Ultra Member
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Jun 2, 2009, 11:57 AM
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If two lines are TRULY parallel, they will never meet or intersect each other... however, they may loop back around to meet themselves
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Ultra Member
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Jun 2, 2009, 01:52 PM
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As we know, parallel lines do not intersect in Euclidean space. But, in positively curved
Spacetime, they do. In negatively curved spacetime, they get farther apart.
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Ultra Member
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Jun 2, 2009, 01:57 PM
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Parallel lines must be located in the same plane. The earth is round...
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Uber Member
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Jun 2, 2009, 03:53 PM
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Originally Posted by ZoeMarie
parallel lines must be located in the same plane. the earth is round...
Thanks for the correction, you're correct, parallel lines don't exist on a spherical surface, by definition.
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Ultra Member
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Jun 2, 2009, 04:13 PM
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But the original query was about black holes, not the Earth. A whole nuther matter.
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Uber Member
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Jun 3, 2009, 03:08 AM
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I think the best answer is "Parallel lines don't exist because space-time is not Euclidean" :p
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New Member
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Feb 7, 2012, 02:24 PM
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They will meet they will always meet
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New Member
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Feb 7, 2012, 02:26 PM
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I'm in school they teach us this I now
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