TetraKlein is a unified computational, cryptographic, and extended-reality (XR) architecture developed by Baramay Station Research Inc., a Canadian non-profit research organization.This repository publishes the mathematical framework, AIR constraint system, XR physics formulations, digital-twin convergence rules, and verification pipeline defining the TetraKlein system. TetraKlein integrates: Post-quantum cryptography (Kyber, Dilithium, Module-LWE/SIS) Zero-knowledge proof systems (AIR, STARKs, IVC, folding, FRI) Verifiable compute engines (SP1, RISC Zero, Brevis, zkSync-derived provers) XR physics and rendering pipelines (TK-U, XR-TSU kernels, foveation models) Digital-Twin Convergence (DTC lineage, projection operators) Hypercube ledger topology (HBB, Recursive Tesseract Hashing) IPv6-native mesh identity and routing (Yggdrasil, PQC-authenticated overlays) Cross-layer AIR constraints enabling recursive multi-domain verification This repository is intended for researchers, engineers, cryptographers, XR developers, and academic institutions looking to analyze, extend, or experimentally validate a unified verifiable-compute architecture. Research-Stage Disclaimer The current version of the TetraKlein architecture is an early-stage, research-oriented framework. It is not a production system and makes no claims of operational readiness, security guarantees, clinical or industrial safety, or real-world deployment feasibility. All mathematical models, AIR constraints, XR physics bindings, digital-twin operators, and ledger constructs are subject to heavy scrutiny, independent validation, and long-term peer review. The material in this repository should be treated strictly as a research roadmap—a foundation for future work that will require extensive testing, reproducibility studies, formal verification, adversarial analysis, and multi-year refinement by the broader scientific and engineering community before any practical use is considered. Key Capabilities 1. Deterministic TK-VM Execution Layer The TetraKlein Virtual Machine provides a deterministic, low-degree constrained execution environment: XR frame physics evolution pose + camera kinematics TSU-compatible energy constraints DTC projection hypercube-ledger synchronization ZK-friendly opcode semantics verifiable state transitions All TK-VM semantics map directly into algebraic AIR constraints. 2. End-to-End Zero-Knowledge Verification TetraKlein supports: AIR-constrained STARK proving recursive IVC frame folding multi-epoch ledger commitment verifiable rendering pipeline deterministic cross-domain proofs (XR → DTC → Ledger) Every XR frame, physics update, and identity transition is provable. 3. Post-Quantum Identity & Routing Identity and routing combine: Kyber-1024 key-encapsulation Dilithium-V signatures MLWE/SIS identity kernels Yggdrasil IPv6 self-authenticating mesh PQC-bound routing and handshake protocol hypercube-coordinate ledger addressing 4. Hypercube Blockchain Base (HBB) The ledger uses a hypercube topology: adjacency enforced by AIR constraints spectral operators (E1–E4) Recursive Tesseract Hashing multi-epoch finality and spectral stability provable routing correctness deterministic fragment propagation 5. Digital Twin Convergence (DTC) The digital-twin framework provides: XR → DTC projection operator inverse-projection (Ledger → DTC → XR) multi-agent DTC coupling Lyapunov-style stability envelopes convergence-time bounding real-world sensor model coupling (non-invasive) Licensing TetraKlein adopts a dual-license structure: Scientific Content Creative Commons Attribution 4.0 (CC-BY-4.0)All mathematical material, papers, equations, AIR tables, and technical documentation. Software MIT License (simple, permissive)Apache License 2.0 (patent-safe, industry standard) This ensures maximum compatibility with: Ethereum / zkSync RISC Zero / SP1 StarkWare-style STARK ecosystems academic reproduction open-source research About the Original 2025 Manuscript This repository includes the full, unmodified original paper: “TetraKlein: A Post-Quantum, Zero-Knowledge, Multidimensional Cryptographic Network for Mid–21st Century Civilization Infrastructure”Michael Tass MacDonald — November 22, 2025 This archival version is included as-is for historical reference.It may contain: speculative or unverified early-stage ideas preliminary constructions non-peer-reviewed material conceptual frameworks later replaced or refined The unified monograph supersedes this original document. Roadmap Phase 1 — Public Monograph Release (Completed) Unified 1,600+ page architecture TK-VM execution model AIR tables (TK-U … TK-Z) PQC identity system XR physics + DTC Hypercube ledger + RTH Recursive folding pipeline (TK-Y / TK-Z) Phase 2 — Reference Implementation (In Progress) minimal TK-VM interpreter TK-W ledger sponge (Poseidon-style) hypercube router (TK-V) proving-fragment diffusion (TK-X) SP1 / RISC-Zero test harness Phase 3 — XR/DTC Prototype (2026) OpenXR prototyping XR-physics frame pipeline real-time DTC–ledger synchronization Phase 4 — Formal Verification (2026–2027) Coq/Isabelle/HOL formalization independent reproducibility testing security analysis academic peer review and conference submissions Citing This Work A full permanent Zenodo DOI will be provided Citation MacDonald, M. T. (2025). TetraKlein: A Unified Architecture. Baramay Station Research Inc. Public Edition. CC-BY-4.0 / MIT / Apache-2.0. Contact Baramay Station Research Inc.Canadian Non-Profit R&D (Saskatchewan)Director & Principal Investigator: Michael Tass MacDonald Contact michael@baramaystationresearchinc.ca Mission TetraKlein aims to advance: open, verifiable computation transparent scientific methodology reproducible XR and digital-twin research post-quantum cryptography zero-knowledge trust frameworks decentralized, identity-bound networks This project is released to help researchers, developers, and institutions build provable, reliable, and safe computational systems for the coming decades.