In 1904 a Swedish mathematician named Helge von Koch drew a triangle. Then he kept adding smaller triangles to it. The edge gets longer forever and the shape never gets bigger.
My book, Our Fractal Universe:
https://www.amazon.com/dp/B0GX465Q68Patreon:
https://www.patreon.com/chrislehtoSo what if the whole universe does that? Not the shape so much. The jobs. A proton and the Sun are a trillion trillion times apart in size, and I think they play the same role. Same note, different octave. A bacterium and the Local Bubble. A tiny worm and the Milky Way. You and the Virgo Supercluster. One pair misses, and I show you that one too.
Then I tested it. 200,000 random shuffles. Most got zero or one close match. The real ladder gets three. That's about 1 in 18,000, p = 0.000055. Not proof. But I don't think you get to wave it away. The code and every size are on GitHub, so run it and tell me where I'm wrong:
https://github.com/Chris-L78/cosmic-octaves-analysisCHAPTERS
0:00 A triangle from 1904
1:17 The universe repeats
1:27 How I tripped over it
2:29 Why call it an octave?
3:30 The other notes
4:56 Is this just my brain?
6:06 A short note
6:35 What the pattern means for you
8:22 Credits
* At 4:38 I said the atom pair comes out at 10 to the 22, off by a factor of 100. That's the book's table. In the test's own data that pair uses Neptune's orbit and comes out at 10 to the 22.9, about 12 times off.
Sources: von Koch, Arkiv för Matematik, Astronomi och Fysik, 1904. Mandelbrot, "How Long Is the Coast of Britain?", Science, 1967. Proton radius, CODATA. Solar radius, IAU 2015. Zucker et al., Nature, 2022 (the Local Bubble). Sulston et al., 1983 (C. elegans cells). Sender, Fuchs and Milo, PLOS Biology, 2016 (gut bacteria). Our Fractal Universe, Table 11.2 and Appendix A.
Music and sound: Epidemic Sound.
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