On the other hand, even if we cannot see beauty in particular measured results, we can already claim to see a certain beauty in the equations which describe general physical laws. For example, in the wave equation (20.9), there’s something nice about the regularity of the appearance of the x, the y, the z, and the t. And this nice symmetry in appearance of the x, y, z, and t suggests to the mind still a greater beauty which has to do with the four dimensions, the possibility that space has four-dimensional symmetry, the possibility of analyzing that and the developments of the special theory of relativity. So there is plenty of intellectual beauty associated with the equations.
Richard Feynman (1918-1988) American physicist
The Feynman Lectures on Physics, Vol. 2, ch. 20 “Solutions of Maxwell’s Equations in Free Space,” sec. 20–3 “Scientific Imagination” (1964)
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I hope that the notion of a final statement of the laws of physics will prove as illusory as the notion of a formal decision process for all mathematics. If it should turn out that the whole of physical reality can be described by a finite set of equations, I would be disappointed, I would feel that the Creator had been uncharacteristically lacking in imagination.
Freeman Dyson (1923-2020) English-American theoretical physicist, mathematician, futurist
Infinite in All Directions, Part 1, ch. 3 “Manchester and Athens” (1988)
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Based on his Gifford Lectures, Aberdeen, Scotland (Apr-Nov 1985).
