Higher Multipoles of the Cow(arxiv.org) |
Higher Multipoles of the Cow(arxiv.org) |
And it's not just gravity, it's also electromagnetism: charge arrangements (i.e. ions) look like point charges at a distance, meaning you can neglect the electron orbital structure. Light sources act like point sources at a distance too.
A lot of the equations you learn in introductory physics rely on the higher moments vanishing.
- The planetary motion equations (Kepler's laws) assume gravity as a point source (the three body problem can be approximated by replacing two of the bodies with 1)
- E = mgh -> assumes a homogeneous gravitational field, which is a special case of gravitational monopole near an equipotential surfaced. And of course parabolic motion and pendula only work because this holds.
https://en.wikipedia.org/wiki/Birkhoff%27s_theorem_(relativi...
Sample papers:
* The Ballmer Peak: An Empirical Search
* Selected investigations into egg logic
* Are Centaurs Actually Half Human and Half Horse?
* Unconventional Commits: An Exploration Beyond the Mundane
* Use-After-Freemoji: How Custom Emoji Replacement Retroactively Corrupts User Intent
I assume this paper will be submitted for a conference - if not it should have been.
From: Benjamin Lehmann [view email]
[v1] Tue, 1 Apr 2025 07:55:39 UTC (2,401 KB)
[v2] Wed, 1 Apr 2026 12:28:24 UTC (3,845 KB)
[0] Python, Monty (1975), Monty Python and the Holy Grail