TetraUnified v2.0 — Experimental Framework for Hyperdimensional Cryptography, Recursive Hashing, and Distributed State Models

Abstract

TetraUnified v2.0 presents a fully revised, academically aligned research framework integrating three experimental components: Tetrahedral Key Exchange (TKE):Exploratory key exchange mechanism based on recursive geometric projections. Recursive Tesseract Hashing (RTH):Hyperdimensional hashing model using 16-axis Clifford projections and recursive entropy mixing. Quantum Isoca-Dodecahedral Lattice Encryption (QIDL):Conceptual encoding model for representing plaintext within dynamic polyhedral phase lattices. This version restructures the system into a coherent research-grade framework, emphasizing mathematical clarity, reproducibility, consistent notation, and proper cryptographic disclaimers.No security guarantees are claimed and no component should be used in production systems.All structures are intended strictly for experimental simulation, prototyping, and conceptual evaluation. Purpose of This Release Version 2.0 was developed to achieve three objectives: Remove speculative, metaphorical, or narrative content from earlier drafts and establish a formal academic tone. Strengthen mathematical structure and notation, including explicit operator definitions and theorem–proof formulations. Position the system as a technical R&D testbed, rather than a security product or operational cryptographic protocol. This release supersedes all previous versions.Earlier manuscripts are preserved only as historical development notes. Key Improvements in v2.0 1. Formal Mathematical Structures Includes new theorem–proof style sections addressing: TKE reconstruction consistency RTH entropy evolution under recursion QIDL transformation intractability (as a conceptual model) Defined core operators: Projection (𝒯) Modulation (f) Reconstruction (𝒭) Polyhedral rotation (𝒭_{I,D}) Sealing (𝒮) Geometric embeddings now use clearly stated synthetic Clifford bases. 2. Cryptographic Positioning TKE, RTH, and QIDL are explicitly described as experimental, unverified, not secure, and not production-ready. No hardness assumptions are claimed. All constructs are positioned as alternative simulation models inspired by geometric/topological methods. 3. Distributed Systems & Navigation Concepts Introduces a conceptual framework for: phase-based synchronization inertial alignment without external timing sources distributed state coordination under high latency resilience to environmental drift or partial network partitions 4. Comparison with Existing Quantum Programming Includes a revised comparison table contrasting: NISQ-era quantum programming TetraUnified’s hyperdimensional simulation models Highlights key architectural differences without implying superiority. 5. Expanded Application Sections Updated application discussions for TKE, RTH, and QIDL covering: distributed identity experiments mesh communication models ledger integrity prototyping inertial navigation research off-world / high-latency environments multi-agent swarm coordination recursive lineage tracking for AI pods All applications are strictly conceptual research pathways, not operational deployments. Version Philosophy TetraUnified v2.0 establishes the framework as: an academic-style experimental cryptography model a research environment for hyperdimensional and geometric transformations an R&D prototype for studying non-linear distributed coordination a computational sandbox for exploring alternative post-quantum architectures No practical security, correctness, or adversarial resistance should be inferred.Formal verification and cryptanalysis remain open areas for future work. Included Artifacts This release includes: the revised LaTeX manuscript (PDF) updated mathematical definitions for TKE, RTH, QIDL reference diagrams and basis definitions example code structures (if present in repository) reproducibility metadata and version history Notes on Previous Versions Earlier versions contained exploratory and speculative material.Version 2.0 replaces these with a rigorous mathematical and systems-engineering structure. Per Zenodo policies, earlier versions remain visible but represent developmental prototypes only.The DOI series now resolves to v2.0 as the authoritative technical edition. Intended Use TetraUnified v2.0 is intended for: researchers exploring geometric or topological cryptography models distributed systems experimentation verifiable computation and XR/digital-twin state modeling conceptual post-quantum architecture studies academic and peer review simulation, prototyping, and reproducibility analysis This work is not intended for operational cryptography, production deployment, or security-critical environments. Citation MacDonald, M. (2025).TetraUnified v2.0 — Experimental Framework for Hyperdimensional Cryptography, Recursive Hashing, and Distributed State Models.Zenodo. https://doi.org/10.5281/zenodo.17759222