Maths and Physics #2: Back to Greece
Max Planck is known as the founder of quantum theory. He came up with the idea of the quantum as “an act of desperation”, to explain weird experimental observations that could not be explained by theory. He found he could explain the observations “only by butchering the mathematics of the underlying theory”, by assuming the existence of “quanta”. But to him, quanta were just mathematical constructs, not real-world constituents. Albert Einstein , in trying to explain the photoelectric effect, concluded that the energy of light (and all electromagnetic waves) was quantized. Quantization was real, argued Einstein, not just a mathematical convenience. Many had noted that Maxwell’s laws were “symmetrical” in certain mathematical ways. Einstein went further than others. Not just Maxwell’s laws, he said, (mathematical) symmetry applies to all universal laws of nature . Conversely, he said, if a universal law isn’t symmetrical, it’s wrong. So far, all experiments show th...