The Recursive Mathematical Lock: A Final Unified Proof of the Seven Millennium Problems
International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Call for Papers | Fully Refereed | Open Access | Double Blind Peer Reviewed

ISSN: 2319-7064


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Technical Report | Mathematics | Israel | Volume 14 Issue 2, February 2025 | Popularity: 4.9 / 10


     

The Recursive Mathematical Lock: A Final Unified Proof of the Seven Millennium Problems

Alexander Bilenko


Abstract: This paper presents a formal, unified recursive proof framework that interconnects the seven Millennium Prize Problems into a single mathematical necessity. We establish that if recursion holds as a fundamental property of mathematics, then the resolution of all seven problems follows as an unavoidable consequence. Conversely, if any one problem is found to be unsolvable within this recursive framework, then the entire structure of mathematics collapses, invalidating core principles in computation, physics, and number theory.


Keywords: Millennium Prize Problems, Recursion, Set Theory, Category Theory, Mathematical Proof


Edition: Volume 14 Issue 2, February 2025


Pages: 1227 - 1228


DOI: https://www.doi.org/10.21275/MR25220093727


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Alexander Bilenko, "The Recursive Mathematical Lock: A Final Unified Proof of the Seven Millennium Problems", International Journal of Science and Research (IJSR), Volume 14 Issue 2, February 2025, pp. 1227-1228, https://www.ijsr.net/getabstract.php?paperid=MR25220093727, DOI: https://www.doi.org/10.21275/MR25220093727

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