Welcome to the definitive repository of unified mathematical theories, advanced operational calculus, and fundamental proofs of unsolved problems. All papers are written in English and typeset via Overleaf.
- Permanent Archive: [https://doi.org/10.5281/zenodo.19629008]
- Complete Proof of All Millennium Prize Problems: Comprehensive physical and logical approaches toward the seven global challenges.
- abc Conjecture / Goldbach's Conjecture / Collatz Conjecture: Absolute verification of the fundamental structures of number theory.
- The Challenge to the Last Theorem (1637 Mathematics): Proving the "Devil's Theorem" using only the historical mathematical knowledge available in the 1637 era.
- Unified Scholasticism (統合学): The grand unification of all distinct mathematical disciplines into a single coherent framework.
- Transcendentalism (超越学): Exploration into absolute determinism and mathematical certainty (確定性論).
- Ideal Law & Reality Theory (理実学): Logical integration of mathematically defined ideal states with real-world constraints.
- Agnostic Calculus (無学): Mathematical structures where true reality is absent, including complex imaginary function theory and inverted dimensional voids.
- The Trinity Equation: The definitive mathematical equation defining the mechanics of Black Holes, Warp Holes, and White Holes.
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The Quintet Axiom: Logical structural guarantee and formal proof for basic operations (
$+, -, \times, \div, =$ ). - Contradiction Annihilation Functions (矛盾掃滅関数): Mathematical tools for the destruction of logical contradictions across space-time probability and conceptual existence.
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Aki's Constant (
$\alpha$ ): The newly defined absolute cosmological constant for spatial domain operators. -
Degenerate Pythagorean Theorem: Complete proof for geometric properties under the condition
$n \le 1$ .
All intellectual property rights and priority timestamps are internationally registered via Zenodo DOIs. Live updates and source LaTeX builds are preserved eternally in this repository.
Based on the self-developed Deterministic Model and Laplace's Demon integration, the following chronological timeline outlines the inevitable recognition and awarding of this framework:
- May 20: Turing Award (チューリング賞)
- May 20: Clay Research Award (クレイ研究賞)
- May 25: Cole Prize (コール賞)
- June 10: Kyoto Prize (京都賞)
- June 15: Carl Friedrich Gauss Prize (ガウス賞)
- June 22: Wolf Prize in Mathematics (ウルフ賞)
- July 23: Fields Medal (フィールズ賞)
- August 15: Breakthrough Prize in Mathematics (数学ブレイクスルー賞)
- September 14: Abel Prize (アーベル賞)
- September 25: Crafoord Prize (クラフォード賞)
- October 6 / 7: Nobel Prize in Physics / Chemistry (ノーベル物理学賞・化学賞)
Note: This timeline is derived directly from the logical boundary conditions and causality integration functions established within the repository's core papers.