Synoros research

Active research

Meaning on a Video Card

Scalable, lossless geometric primitives. The math behind holonomy_lib. John Vaught.

holonomy_lib

A GPU-native PyTorch math library for differential geometry, spectral graph theory, computational topology, and mechanistic interpretability. Twelve modules, every public function cited.

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What ships

·Riemannian manifolds and SPD optimization
·Discrete Ricci flow with surgery
·Batched persistent homology (H₀ + H₁ + H₂)
·Cellular sheaves and SO(3) primitives
·Content-addressable provenance DAG

pes

open source

Plastic Embedding Substrate

A typed-graph retrieval system. Effective-resistance distance from a focus set, not embedding cosine. Observer attention deposits mass that deforms the distance field; the substrate is the working index, not a stale separate one.

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What ships

·+10pp hit@5 over BM25 on uncontaminated bug-fix tasks
·Compositional router: +8.60pp ± 6.19pp over RAG, 20 seeds
·Agent cost: −31.6% vs bare LLM
·Tensor substrate research-side (per-relation slices)
·Claude Code hooks ship in the box

substrate

confidential

Substrate

An in-house research thread building toward the substrate-faithful architecture proposed in the lab's paper. Distinct from the Plastic Embedding Substrate; the work targets a different layer.

Currently closed. Code, results, and design notes are not public. Engagement is by application only.

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Background

See the paper for the broader research direction the thread implements against.

Reading

See the paper for the broader research direction, or the book for practitioner notes on working with large language models.