Table of Contents
Density
Definition of density
- Why do we say that Kepler’s Rule is the definition of density?
Definition 1 in the Principia
- Principia Def. 1.
- I see this Def. 1 as the definition of density.
- I’ve written about this already.
How can definition vary?
- In this file Gemini explains that Newton’s \(1/r^2\) has a geometric origin as in propagation.
- So Newton seems to say that his force propagates as \(1/r^2\). This is not true because force does not propagate.
- Similarly, can density diminish as \(1/r^2\) according to Kepler’s Ruel?
- Kepler’s Rule is the definition of density.
- When we look at the density distribution of the earth we see that earth is densest at its core gets less dense as we go away from the center.
- The “surface” of the earth is the interface or the density layer where the densities of water, air and land or solid earth meet.
- I once tried to compute how smoothly Kepler’s Rule predicts this density continuum but I was not very successful. Maybe ai bots may help.
- There are other causes that define earth’s densitiy distribution.