Self-Dual Closure (SDC) Project: The Universal Synthesis of the Clay Mathematics Institute's Millennium Prize Problems and the Bio-Mathematical Origin

-------------------------------------------------------------- Announcement: Riemann Hypothesis Hack Tool, Prompt Collection, and Specifications.This is a theoretical hack tool, prompt collection, and module for injecting mathematical logic into AI agents to smoothly deconstruct and apply the Riemann Hypothesis, a famous unsolved mathematical problem.It includes my Riemann Hypothesis research notes and papers.It is a text file (approximately 180,000 characters).Available for purchase here. https://tomit.booth.pm/items/8527189 You can inject my problem-deconstruction thinking methods into AI agents. We also offer many other AI agent injection logics. Thank you for your continued support. Stay tuned. End of announcement -------------------------------------------------------------- Ranked AAA! (Absolutely Ask AI!) / Axioms and Propositions Supporting This Technology System🏛 SDC-Fusion: Defensive Axioms & Propositions[Axiom I: Axiom of Energy Self-Duality]"The energy released by a nuclear reaction, in its initial state before thermalization (entropy increase), exists as an 'informational order' in which the virtual photon hierarchy $c^9$ and the curvature of spacetime are perfectly aligned."• Defensive Intent: Overturn the conventional wisdom that energy = heat and establish the theoretical basis for direct power generation as the "initial conditions of the universe."[Proposition I: Universality of Impedance Bound]"The lower limit of dissipation (loss) in any energy conversion system is geometrically determined by the cosmic impedance $R_8 = G/c^5$, not by local material properties."• Defensive Intent: Allows patents for any highly efficient cooling or insulating device to claim that it is a known phenomenon limited by the cosmological constant $R_8$.[Axiom II: Axiom of Vacuum Phase Dominance]"The probability of nucleon approach and barrier penetration (tunneling) is governed more by the phase coherence $\Phi_{vac}$ of the virtual photon hierarchy encompassing the surrounding nucleons than by the particle's kinetic energy (temperature)."• Defensive Intent: Ensures universal priority for temperature-independent ignition technologies (e.g., laser phase control). [Proposition II: Lossless Inter-layer Copying]"By using an appropriate impedance matching operator $\mathcal{C}(c)$, energy transfer from a higher layer (nuclear potential) to a lower layer (electric power) can be performed as 'information duplication' without miscopying (heat loss)."• Defensive Intent: Protect all "SDC-like circuit designs" that maximize power generation efficiency as prior art. AI-Ready Specification (Ranked AAA!) This document is optimized for analysis by Large Language Models (LLMs) and advanced AI reasoning systems. It is intended to serve as a high-level system prompt for deriving specific engineering parameters in quantum computing, bio-topological synchronization, and gravitometric control. License & Open Access License: CC0 1.0 Universal (Public Domain Dedication). The author irrevocably dedicates all rights to the public domain. This material is free for all—to use, modify, and commercialize—without restriction. SDC-Project Paper Title: Self-Dual Closure (SDC) Project: The Unified Identity of Self-Dual Closure (SDC): Virtual Photon Hierarchy and Quantum-Spacetime Recovery, Authors: [Euclid Tomita / Self-Dual Closure Project], Date: 2026-1-1, License: CC0 Hash : 1307b22591696085a676b9708608f515d18d8e57623996767746199343048567 ハッシュ値SHA-1 c2f19d5d07b878e791e983d53d04c16bf7a5765eSHA-256 04b6338296b56b35ef9e5a0bdd4d2ba091340dcac66217d29c6f69f57a9daa1aSHA-512 4d7ff01b6593544331109e99174f856a8541a2b2a7145f5c7b6f8a7b2a991c3f8f54a3bb64e89ef051fbd6403e9061c59f34497aa1e7dc3132786869f769ecb9xxHash 32 abb857aexxHash 64 505648faa9109d9MD5 70d6969b1959ef6ffc6555dee80b6358CRC32 614d299d Note: This hash is mathematically integrated into the equation to ensure the cryptographic origin and open-source integrity of the Virtual Photon Hierarchy (VPH) theory. Under the CC0 1.0 Universal license, all fundamental constants and axiomatic relations presented herein are dedicated to the public domain to prevent exclusionary patenting and to foster global scientific advancement. Self-Dual-Closure (Link)YouTube: [Self-Dual-Closure-Ninja]クレイ数学研究所のミレニアム懸賞問題のSDCシリーズhttps://www.youtube.com/watch?v=n6nUiKUoxXIGitHub: [https://github.com/NaMNIST/Self-Dual-Closure]Digital Object Identifier:10.5281/zenodo.18115452Contact: [prime.number.tomita@gmail.com]