GIGI Builds: The Fiber-Bundle Database, A Working Engineer's Guide from Schema to Shard (GIGI: A Fiber-Bundle Database and the Davis Geometric Framework)

A conventional database stores rows. GIGI stores the geometry that rows live on.GIGI Builds is the working engineer's guide to the fiber-bundle database I built when the satellite ring around my main store finally got large enough to argue with — a streaming pipeline for anomaly scoring, a notebook for clustering, a vector store for similarity, a graph database for adjacency, a lineage tool for provenance, each one trying to reconstruct after the fact and at a distance the structure the substrate threw away at insert time. GIGI is the substrate that doesn't.The book climbs from a typed column to a multi-shard production deployment over eighteen chapters and seven parts:• Part I — The Shape of Data. The phone book vs. the moon. Fiber bundles, sections, coordinate charts, the O(1) hash.• Part II — The Engine Room. Anatomy of a BundleStore, WAL durability, DHOOM as the wire format, GQL as a language where geometry determines complexity.• Part III — The Signals That Run While You Sleep. Interoception, spectra, the brain primitives.• Part IV — What the Loop Remembers. The holonomy ledger; torsion as the asymmetry of a conversation.• Part V — The Theorem. The sharding theorem T1–T7; the navigator's honest map.• Part VI — Gauge Encryption. Five encryption modes, the verifier without decryption, four delegation modes, the open problems.• Part VII — Running the Engine. The 503 contract, the Tigris pull, the geometric column on every log line, the live customer, the next substrate.Every claim ties to a file path, a test count, or a live endpoint. Where the engine refuses a claim, the book prints the refusal. Where a construction is open, the book names it open. The reader leaves with a runnable Rust engine — O(1) point queries, 54–84% wire compression, built-in anomaly detection, a refusal gate that returns ABSTAIN rather than confabulate — and the math that explains why it works.Each chapter interleaves three voices on every page: the differential-geometry voice that names the object underneath, the everyday voice that anchors it in something already in your kitchen, and the engine-job voice that points at the file, function, and test where the object lives as Rust.114 engineering experiments at chapter ends — not classroom questions, but hands-on builds, each with a Receipt that proves you did it. Four appendices close the book: the complete HTTP API reference, a glossary that pairs every math term with its engine analogue, a citation index of the work that got us here, and the math companion.For the engineer who has been bolting search, vector, graph, and lineage services around a relational core, this is the substrate underneath. For the geometer who wondered what a Riemannian manifold has to do with a production database, this is the construction. For the reader who wants both — that is what this book is.— Bee Rosa Davis, Founder, Davis Geometric Read more