OtterSparx | ΘΔ 🦦 | ☀️🌒 | 🔜 FWA on Nostr: This is my new favorite graph, I think. A chart of everything in the observable ...

This is my new favorite graph, I think. A chart of everything in the observable universe, plotted by the logs of their same-volume-sphere radii and the logs of their masses.

Devised by Lineweaver and Patel

Fun fact: each axis being logarithmic is why everything seems to sort neatly into bands.

On a log log graph, a constant slope means the two quantities are related by a power of the x-axis quantity. So basically this is saying, for most objects in the universe, mass scales with the cube of radius (as the slopes are uniformly 3).

Which makes sense, since that's also how volume scales, but there are some exceptions: namely that line of black holes, since their masses only scale with radius itself, not with the cube, which is also why we have that hard upper band of forbidden values.