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Here's a question : what are rational numbers (ℚ) in physics?
A pointless question, indeed, but a beautiful one nonetheless...
Things to check out:
⊛ Technical notes on this video : sites.google.com/view/pointle...
⊛ 3b1b, Approximations of π : • Why do prime numbers m...
⊛ Steve Mould, Orbital resonance : • The Planets Are Weirdl...
⊛ Awesome website to play with continued fractions : tiusic.com/quasi_crystals.html (but it's about quasi-crystals, not orbital resonance)
⊛ A good video on KAM theory [not available yet, if you know one, please, leave a comment, I'll add it]
⊛ If you know about any other non-technical online content on a related subject, please leave a comment, I may add it to the list, [if it seems too technical, I might add it in the technical notes]
♥ Thank you to the 3b1b team and all of those who took part in organizing the summer of math exposition ♥
Musics : Moon And Star | Sandviken Stradivarius
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Sections:
00:00 ⇨ Intro
03:00 ⇨ Part 1: orbital resonance
06:00 ⇨ Part 2: continued fractions
09:00 ⇨ Part 3: continuity of rationality
12:12 ⇨ Part 4: the fake simulation
15:15 ⇨ Part 5: multidimensional rationality
17:35 ⇨ Recap
18:44 ⇨ End credits