Status Updates From The Language of Symmetry

“Self-similar Self-similarity”. On the concept of symmetry in mathematics. In particular, about objects that have non-isometric symmetry, meaning that symmetry there is not distance-preserving, which leads to the discussion of the symmetry of the symmetry groups of each object and automorphism. Apparently the author elsewhere proves that the automorphism tower does complete eventually!

“Darkness, Light, and How Symmetry Might Relate Them”. A fantastic, beautifully written essay on four types of darkness in the universe: absence of light, dark colors, neutrinos, and dark matter, as well as a brief introduction to different ways of theorizing about dark matter which includes supersymmetry. Loved the essay and loved the subject matter.

There is much more to darkness than the absence of light.

“Entropy and Symmetry in the Universe”: on whether the universe is symmetric or not - apparently not! Charge symmetry and parity symmetries are shown to not hold, and entropy shows that time is arrow-like and asymmetric. But this also enables life on Earth. Super cool.

Ch. 1: Planetary systems: from symmetry to chaos. About how chaos is deterministic but randomness is not, describing how resonance of moons brings order to systems of planets, but resonance overlap causes chaos in some asteroid belts. A bit too technical but beautiful nonetheless.