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TagRoger Penrose on imaginary numbers

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Abstract Computer generated Fractal design. 3D Illustration of a Beautiful infinite mathematical mandelbrot set fractal.

Recent Research: Imaginary Numbers Are Part of the Real World

If we try to leave them out of quantum mechanics, our description of nature becomes faulty

Imaginary numbers, beginning with the square roots of minus numbers, are part of the world in which we live, even though we can’t quite picture them. Try it. The square root of 1 is 1 (1 × 1 = 1). But what’s the square root of -1? It can’t be -1 because if we multiply -1 × -1, we still get 1. The two minus numbers cancel each other out. That’s why the square root of -1 is written as i. Now, here’s the odd part: Imaginary numbers are not just a conundrum; they are part of a science description of the world in which we live in: Though imaginary numbers have been integral to quantum theory since its very Read More ›