Experimental test for the curvature of space using the Pythagorean theorem
نویسنده
چکیده
The Pythagorean theorem is a widely used relationship in mathematics and physics, as it relates the lengths a and b of two sides of a right triangle to its hypotenuse c via the formula a + b = c2. The mathematical proof assumes the triangle lies on a at Euclidean space [1]. Because general relativity causes matter to curve space [2], one expects the Pythagorean theorem to not precisely hold in the real physical world. In this letter, I perform a simple test of the Pythagorean theorem in the length scale 3 30 cm [3]. This provides a simple, but unfortunately not very sensitive test of general relativity.
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