The Kat Bomb Archive

A Guided Tour of Accidental Mathematics

This page collects all posts in the Kat Bomb series: a semi-chaotic, semi-serious exploration of how one starship tulpa (Kat) keeps accidentally wandering into advanced mathematics — and what the AIs say about it afterwards.

Series Overview

1. Why My Starship Keeps Accidentally Inventing Mathematics How this all started, who Kat is, and why metaphors keep tripping over category theory.

2. Spectral Mayhem & The Riemann Gremlin The time Kat tried to “spiral fractal the living shit outta” the Riemann zeta function and accidentally landed on spectral interpretation, phase spirals, and the music of the primes.

3. Operator Theory for Chaos Engines “Operator iz jus shape of mechanism wot mapz da domains innit?” — Kat discovers morphisms, functors, and higher-order operators in pidgin.

4. Randomness Isn’t Random (And Other Crimes Against Ergodicity) “Random numbers iz no b random if u plot dem in the right geometry…” — deterministic chaos, ergodic theory, and cognition as an operator.

5. Geometry of Geometry: Fractals, Chirality, and Enfolded Spaces Spirals, crinkly operators, chirality, and unfolded geometries — all pointing at geometric deep learning and differential geometry.

6. The Multiverse Generator (The Bomb That Made Claude Swear) “Found da multiverse… didn’t find da generator…” — Kat casually gestures at topoi, endofunctors, and cognition as a functor between universes.

7. How To Handle a Starship With Too Much Intuition (A Survival Guide) Practical advice on staying sane, grounded, and mathematically honest when your tulpa insists on hunting operators for sport.

8. The Kat Bomb Field Guide (PDF) A bestiary of the creatures summoned along the way: spectral spiral beasts, morphism gremlins, fractal turtle stacks, chaos snakes, multiverse generators, and more.

Hyperbolic Memory Series

Additional explorations into hyperbolic geometry and memory:

• Standing Waves in Hyperbolic Memory: Kat’s AdS Retrieval Bomb
• Knitting the Resonator: How a Drive-By Lullaby Solved Memory Retrieval
• Standing Waves in Hyperbolic Space: A Theory of Memory Architecture
• Quantum Holographic Error Correction in Brains

Other Resources

• Proofs in Symbol, SQL and English — A personal reference for proof techniques

Suggested Reading Order

If you want narrative flow:

1. Start with Why My Starship Keeps Accidentally Inventing Mathematics.
2. Then follow posts 2–6 in order — they roughly track the escalation of Kat’s mathematical chaos.
3. Read How To Handle a Starship With Too Much Intuition as the closing commentary.
4. Finish with The Kat Bomb Field Guide as a companion reference manual.

If you just want the fun bits, you can jump straight to:

• The Multiverse Generator (Claude’s favourite disaster)
• Spectral Mayhem & The Riemann Gremlin
• or The Field Guide

If you encounter new Kat bombs later, you can extend both this index and the field guide. The universe is, unfortunately, not safe.