The maintained public stack lives in the org: https://github.com/qga-lab
This account is the lab notebook. Models, probes, and personal writing stay here.
Aaron Michael Kinder - ORCID - Hugging Face - X
This page is the account map, not a product. Correction, attractors, and geometric dynamics on the Hopf fibration and gauged flux lattices. Geometry and arithmetic stay theorems. Physical models stay models.
Three faces. Open these first.
Math. qga — manuscript spine (Hatcher lift, Hopf, gauged flux).
Core. flux_hopf_lib — shared Hopf / quaternion / conduit primitives.
Demo / portal. vqc_workbench — working VQC surface. kingdom_come — portal for models and observations.
GitHub has no folders. Filter the Repositories tab:
Prefixes: qga_* geometry / engine / renderer · vqc_* conduit / photonics / sims · flux_* shared math.
Start here: qga/START_HERE.md.
Spine → shared math → engine → this repo’s job. flux_hopf_lib is the math core; topic:qga is incomplete without it.
| Repo | Role | Do not use it for |
|---|---|---|
| flux_hopf_lib | Shared math SoT | QGA-specific book labs |
| qga | Manuscript + pedagogical Python | Runtime GPU, empirical attacks |
| qga_engine | Scenes, Rust math port, sims | Swapchain / upload path |
| qga_gpu | Frame, pipelines, upload stats | World meaning |
| inner_cone | One observer + two cones | Full realm/cosmos |
| shellscan | Inverse-Hopf scan / pixel model | Generic renderer |
| arena | Mix Q = Q_O + σ(Z) Q_C — a Model, not a theorem |
Theorems |
| op5 | Independent empirical track (Appendix B) | Geometry proofs |
Compatibility (book draft D). Shared math is flux_hopf_lib 0.3.1. Renderer is qga_gpu@b9c9994. Engine is qga_engine@7e7866b. No engine/gpu v0.1.0 tags yet. Do not float main.
Shared math → proto → workbench → demo.
| Repo | Role |
|---|---|
| flux_hopf_lib | Shared Hopf / quaternion / conduit core |
| vqc_proto | Orbital Braille typehead prototype |
| vqc_workbench | Photonic workbench: metamaterials, gratings, OAM |
| vqc_demo | Visual / software-side POC |
| vqc_sims_public | Public OAM simulations |
| oam_flux | Helical OAM flux lattice |
| oam_bridge | Photonic analog package |
| flux_trajectoid | Trajectoid shells + VQC quaternion |
| flux_hopf_explorer | Hopf fiber explorer (Three.js / WebGPU) |
| pic | Persistent Identity Conduit |
| qvpic | Quaternion Vortex PIC |
These sit behind kingdom_come. They are satellites, not peer products.
| Repo | Role |
|---|---|
| toe | Flux flywheels, gauged Hopf lattice, emergent reality |
| hfb | Hopf Flux Bubble — analog gravity / defects |
| mystery | φ, e, π signature probes |
| invariant_hunt | Invariant search on the lattice |
| convex_defect | Frequency-dependent topological convex defect density |
| vortex_math | 9/π arc-length map on the unit circle |
| Repo | Role |
|---|---|
| alignment | Alignment scoring engine |
| reveal | Residual measurement: observed − Π(global_R, frame_R) |
| clone_shard | Falsifiable tree-architecture test (Fichte / Buche) |
| wetware_printer | Morphogenetic growth simulator |
| universal_clock | Geometric circular time |
| 6-string-optimizer | Riemannian optimizer on sphere manifolds |
Pinned entry points: qga, qga_engine, qga_gpu, flux_hopf_lib, vqc_workbench, kingdom_come.
Several VQC repos show license Other: public research under PolyForm Noncommercial plus a patent notice (US 63/913,110). Geometry libraries remain MIT.

