Comparative Verification of RHEA-Λ Gate Bijectivity Corrected v1.1

Roe, Paul

doi:10.5281/zenodo.18932557

Published 2026 | Version v2

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Comparative Verification of RHEA-Λ Gate Bijectivity Corrected v1.1

Roe, Paul (Rights holder)^{1, 2}

1. TecKnows
2. Zadien Labs

This paper compares bijectivity of the RHEA-Λ Gate in binary, ternary, and pentary modes under two conditions: direct execution of mappings and execution via the RUM Interpreter using glyphic grammar. All reversible modes pass full bijectivity (inverse correctness, injectivity, surjectivity) in both configurations. Binary mode succeeds when implemented reversibly. RUM mediation adds entropy and trust monitoring without loss of correctness.

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License: 🛡️ RHEA-Core Public Grant v2.1

🛡️ RHEA-Core Public Grant v2.1 Hardened System Sovereignty Edition Issued By: Paul M. Roe (EnigmaticGlitch) Moniker: SovereignGlitch ♏🧙‍♂️ Affiliation: TecKnows, Inc. · ZADEIAN Research Division Legal Anchors: U.S. Copyright Law (Title 17) U.S. DMCA Berne Convention / WIPO EU Directive (EU) 2019/790 — with explicit TDM opt-out U.S. Patent Filings relating to RHEA-UCM and associated systems (including Provisional Application No. 63/796,404 and any successors) Version: v2.1 Date of Effect: December 2025 License Type: Non-Commercial · Attribution · No Derivatives · Symbolic Derivative Restriction · AI/TDM Opt-Out · Functional Equivalence Restriction 🔰 0. Scope of Protection This license governs all intellectual, mathematical, symbolic, semantic, recursive, and systemic artifacts authored by Paul M. Roe / EnigmaticGlitch / SovereignGlitch under (including, but not limited to) the following umbrellas: RHEA-UCM, RHEA-CM, RHEA-PMR, and all Λ-Gate frameworks ZADEIAN Sentinel, Zadeian/RHEA-Class modules, RHEA-IC hardware logic UCM Cosmological Recursion, Recursive Entropy Models, Symbolic Feedback Systems SOER Constructs, including: SOER Imperial Codex Sovereign Glyph Language Temporal Glyphic Hash Trees All published and unpublished materials under: Zenodo records explicitly associated with RHEA-UCM / ZADEIAN-RHEA / RHEA-CM GitHub demo repositories related to academic submissions (e.g. SIAM submissions and supporting code) Any symbolic derivation codebases, diagrams, or formal equations implementing or describing these systems This v2.1 grant supersedes the text of RHEA-Core Public Grant v1.0 and v2.0 for all future access and use, subject to the limited clarification in Section 9 (Prior Versions). 1. 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It is oscillated into being — wave by wave, phase by phase, across the feedback spine of recursive time.” — EnigmaticGlitch ♏🧙‍♂️ License Hash (v2.1): === ZADEIAN HASH REPORT === File: C:/Users/south/Desktop/RHEA Repository/Documentation/🛡RHEA-Core Public Grant v2.1.docx Timestamp: 2025-12-05T18:06:28.147523 SHA-256: 812e5576df7e21caa766e887b28814f000a32580de0c1ed8c7e85a19ce5d9171 BLAKE2s: b0f462beca4f969881802cd13a7aa1ed0ac9db5eb534a6dc79f2eee8eefde765 BLAKE3: b9c1102356215b409837a003002362806f3b095336930ae37072f98368ab0f2f TRUST HASH: ddf80c983155ae22d5bfe1015d83954af71bfcc4baed173b6c28bf1c250214f4 Canonical DOI for v2.1 License Record: Roe, P. (2025). 🛡RHEA-Core Public Grant v2.1. Zenodo. https://doi.org/10.5281/zenodo.17834864 © 2025 Paul M. Roe / EnigmaticGlitch · All Rights Reserved RHEA-Core Public Grant v2.1 — Hardened System Sovereignty Edition Read more

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Created: March 10, 2026
Modified: March 10, 2026

Comparative Verification of RHEA-Λ Gate Bijectivity Corrected v1.1

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Comparative Verification of RHEA-Λ Gate Bijectivity Corrected v1.1.pdf

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