Day 165 · Jun 13

Birthday of James Clerk Maxwell (1831)

Maxwell's four equations — published in 1865 — describe all electric and magnetic phenomena in breathtaking mathematical elegance. From these four equations, Maxwell derived that electromagnetic waves travel at the speed of light — and concluded that light itself is an electromagnetic wave. This was a purely mathematical prediction, confirmed by Hertz experimentally only after Maxwell's death. Einstein kept a portrait of Maxwell alongside Newton and Faraday on his study wall and called Maxwell's work 'the most profound and the most fruitful that physics has experienced since Newton.'

Maxwell's equations predicted the speed of light from the constants of electricity and magnetism: c = 1/√(μ₀ε₀). What does it mean that the speed of light emerges from non-optical physics?

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