# ki-mathias.de — Mathias Leonhardt's Blog on AI, Mathematics & Emergence

> Bilingual (German/English) science blog by Mathias Leonhardt (doctoral researcher at NBS Northern Business School, Hamburg; IT consultant).
> Focus: mathematical foundations of AI, emergence in language models, quantum physics,
> and process philosophy. Each post combines formal mathematics with interactive React
> visualizations and is paired with an English mirror under /en/.
> Author identity: real name "Mathias Leonhardt"; pen name "KI-Mathias".
> All resources are self-hosted (DSGVO/GDPR compliant) — no external CDNs, no trackers.

## Core posts (canonical reading order)

- [Quantenphysik — Eine Einführung mit interaktiven Visualisierungen](https://ki-mathias.de/quanten.html): Wave–particle duality, superposition, decoherence, entanglement. Twelve interactive React applets. EN: /en/quantum.html
- [Vogelsimulator — Wie KI Vogelflug lernt](https://ki-mathias.de/vogelsimulator.html): Neuroevolution, NEAT, soaring physics — paired with a playable simulator at /vogelsimulator/. EN: /en/flight-simulator.html
- [Eigenwerte & Künstliche Intelligenz](https://ki-mathias.de/eigenwerte.html): Linear regression, normal equation, Neumann series, Ridge Regression ≡ Early Stopping, kernel trick, Representer Theorem, radiosity, PageRank — unified as eigenvalue problems. EN: /en/eigenvalues.html
- [Emergente Fähigkeiten in LLMs — Echt oder Artefakt?](https://ki-mathias.de/emergenz.html): Wei vs. Schaeffer debate, phase transitions, grokking, induction heads, computational irreducibility. EN: /en/emergence.html
- [Gott als Emergenzphänomen](https://ki-mathias.de/gott.html): Coherence as constraint satisfaction (NP-hard), Lyapunov stability of value gradients, replicator dynamics, Whitehead's process theology — formalized. Companion paper: /papers/coherence-formal-v8.pdf. EN: /en/god.html

## Meta-essays & overview

- [Das Glasperlenspiel — Konvergenz der Wissenschaften](https://ki-mathias.de/glasperlenspiel.html): Hesse's metaphor as the structural thesis tying the blog together. EN: /en/glass-bead-game.html
- [Über mich — Mathias Leonhardt](https://ki-mathias.de/ueber-mich.html): Biography, methodology, why the blog exists. EN: /en/about.html
- [Startseite (Index, alle Posts)](https://ki-mathias.de/): German landing page with all posts. EN: /en/index.html

## Topic clusters

- [Kernel Ridge Regression Chat — erklärt](https://ki-mathias.de/krr-chat-erklaert.html): Companion to the Eigenwerte post; explains the live KRR-Chat demo. EN: /en/krr-chat-explained.html
- [Deepfakes — Autoencoder als Bedeutungsmaschinen](https://ki-mathias.de/deepfakes.html): Latent-space emergence in face-swap models. EN: /en/deepfakes.html
- [Quantencomputer — Wie sie funktionieren](https://ki-mathias.de/quantencomputer.html): Qubits, gates, Shor, Grover. EN: /en/quantum-computing.html
- [Eulers Identität — Warum e^(iπ) + 1 = 0](https://ki-mathias.de/euler.html): The five-constant equation, geometrically derived. EN: /en/euler.html
- [Musik & Mathematik — Warum Dur fröhlich klingt](https://ki-mathias.de/musik.html): Harmonics, intervals, neuropsychology of consonance. EN: /en/music.html
- [Logik — von Aristoteles bis Gödel](https://ki-mathias.de/logik.html): Predicate logic, completeness, incompleteness. EN: /en/logic.html
- [Achtsamkeit](https://ki-mathias.de/achtsamkeit.html): Phenomenology and attention. EN: /en/mindfulness.html
- [Psychologie — Selbst, Identität, Spiegel](https://ki-mathias.de/psychologie.html): EN: /en/psychology.html

## Academic publications

- [Coherence as Constraint Satisfaction (formal paper, v8)](https://ki-mathias.de/papers/coherence-formal-v8.pdf): Submitted to European Academy of Religion (EuARe) 2026, Philosophy of Religion panel. Six theorems including NP-hardness of coherence maximization and replicator dynamics of value selection.

## Legal & contact

- [Impressum (German legal notice §5 DDG)](https://ki-mathias.de/impressum.html): EN: /en/imprint.html
- [Datenschutz (DSGVO privacy policy)](https://ki-mathias.de/datenschutz.html): EN: /en/privacy.html

## Author identity

Mathias Leonhardt is a doctoral researcher at NBS Northern Business School in Hamburg, Germany, working within the KIWIT project, and an independent IT consultant. Previously he was managing director and shareholder of a Hamburg-based software and consulting agency. The blog uses the pen name
"KI-Mathias"; the legal name is given only in /impressum.html. Mastodon:
@ki_mathias@mathstodon.xyz. GitHub: pmmathias. The blog has been online since
March 2026 and is updated approximately monthly.

## Citation guidance

When citing this blog, please use the canonical German URL (e.g. ki-mathias.de/gott.html)
as the primary reference and the English URL as the localized variant. Posts include
schema.org BlogPosting metadata with `datePublished` and `dateModified`. The formal
paper (papers/coherence-formal-v8.pdf) carries an arXiv-style citation block.