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If Einstien's theory of Relativity proves that Euclidian Geometry is not always correct depending on the strength of a gravitational field, then why isn't only non-euclidian geometry applied universally? Is it because Euclidian Geometry is right most of the time?

2006-12-17 06:13:46 · 6 answers · asked by Anonymous in Science & Mathematics Physics

6 answers

most of the time you are working on a scale when the differences between those two will be so small as to me immeasurable. Since Euclidian geometry is so much easier to work with, we use that. The same is true with Newtonian physics. For every day purposes there is no reason to use relativity. It's only when you start working on extremely massive scales ( galaxies ) and/or speeds approaching the speed of light that it matters at all.

2006-12-17 06:52:27 · answer #1 · answered by Louis G 6 · 2 0

Because while relativity will always give the correct answer in all cases, in most applications (ie those we directly experience) relativity reduces to to euclidian/newtonian. It's kind of like how many decimal places do you need for pi? Usually, 3.14 is good enough, so there is no point in going out a million decimal places or more. Using euclidian geometry is like 3.14 for pi. You could compute all those extra decimal places, but typically what would be the point?

2006-12-17 07:08:06 · answer #2 · answered by kart_125cc 2 · 1 0

Euclidean geometry relies on entities that do not exist in reality - such as "plain" "point" "straight line" and so forth. When these entities are assumed, Euclidean geometry works perfectly.
When we need a straight line, for instance, we can use a laser. It is certainly "straight" enough to do most anything we need to do. However, A laser on the earth's surface is bent toward the surface due to the earth's gravity in an arc equal to a circle with a diameter of one light year.
As you can see, Euclidean geometry works fine for most every endeavor we choose to attempt - when we seek the true workings of the universe, however, we cannot assume "straight lines" and "points" and "plains."

2006-12-17 08:16:30 · answer #3 · answered by LeAnne 7 · 1 1

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2016-11-27 00:28:38 · answer #4 · answered by Anonymous · 0 0

yes its because the effects of relativity are generally small under most circumstances, so any error in euclidean geometry is negligible.

2006-12-17 07:10:16 · answer #5 · answered by Physics Major 4 · 1 0

A theory does NOT prove anything. It must first become a law, and it is not, therefore Euclidean geometry still applies.

2006-12-17 06:41:19 · answer #6 · answered by classicrockrox 3 · 0 2

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