S³ LIGHT-TRISPHERE ATLAS: A Technical Atlas of an Interactive First-Principles Scientific Universe

S³ LIGHT-TRISPHERE ATLAS is an interactive scientific atlas that brings astronomical data, geometric constructions and computational models into a shared environment for exploration. This technical preprint by Boris Batenin and Andrei Preece documents seven worlds, 133 laboratories and 145 typed instruments in release 4.352.0, connecting spatial navigation with equations, model assumptions, provenance and machine-readable interfaces. It provides a versioned research guide to an evolving system: a route from a visible object to its underlying calculation, validity limits and reproducible outputs. The mathematical landscape extends from spinors, holonomy and contact geometry to compact-object astrophysics, field dynamics and spectral constructions on S³. Relations such as V(S³) = 2π²R³ and the Hopf map S³ → S² provide explicit geometric foundations, while the scale ladder Rₙ = ℓₚφⁿ, with φ = (1 + √5)/2, defines a separately identified model construction. Invariant Nexus organizes typed scientific relationships between laboratories, and the quantity bus transfers numerical outputs through declared compatibility and conversion rules. These mechanisms support exploration while preserving distinctions between identities, representations, approximations, analogies and conditional hypotheses. Designed for researchers, developers and AI agents, the preprint combines detailed walkthroughs with laboratory and instrument registries, formula indexes, source records and operational examples. Scientific interpretation remains tied to explicit assumptions: numerical verification, mathematical exactness and empirical validation carry different evidential weight. The compact S³ reconstruction and the FBS3R ladder retain their conditional status; neither is presented as a detection of cosmic topology. The document makes the Atlas’s capabilities, limitations and unresolved questions part of an inspectable research record. The project is available for direct exploration through the interactive browser Atlas, with source code and documentation on GitHub. Readers can inspect the implementation, run the project locally and work with its machine-readable catalogues and computational interfaces. A separate agent workspace provides catalogue access without requiring 3D rendering; the ES-module SDK supports programmatic workflows, while HTTP/MCP computation requires a separately launched server. The preprint therefore serves as an entry point to software that readers can explore, examine and use in their own investigations. We welcome questions, scientific discussion and opportunities for collaboration. If you are interested in the Atlas or would like to explore working together, please feel free to contact us using the email address provided in the accompanying documentation.