3 ms·
explaining more does not necessarily mean better. I can explain all of the motions of all of the celestial bodies (better even than newton-einstein gravity can
by dnautics 6y ago
explaining more does not necessarily mean better. I can explain all of the motions of all of the celestial bodies (better even than newton-einstein gravity can!) using epicycles, but that's trivial because really epicycles are just fourier transforms under another name and all continuous-valued functions have well-defined fourier transforms.
1 - give me a prediction, not just an explanation. Can you take epicycles and project the motions of any given body better than newton? No.
2 - Give me a multimodal observation. Imagine the world before we unified terrestrial gravity with heavenly motion - these were two separate phenomena. Could epicycles explain things outside of the category which it is designed to explain (heavenly motion)? No. Newton's theory also explains why if you throw a book across the room it will fall to earth, which epicycles do not.
- The_rationalist 6y agoOff topic and minor question: Aren't epicycles using trigonometric functions, which is a different paradigm than fourrier transform? I don't remember the difference with Taylor series btw
- dnautics 6y agoI misspoke because epicycles are actually fourier series, but both are trig functions. Fourier's initial formulation of the transform was with trig functions remember e^it = cos t + i sin t