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A Geometric Solution and Interpretation of the Poincaré Conjecture: The Perspective of Visual Relief and Sweep-out Protocol

This paper presents a novel conceptualization and structural analysis of the 3-dimensional Poincaré Conjecture. By introducing the "Sweep-out Protocol" via a dynamically expanding 2-dimensional sphere trajectory and integrating an inherent "Infinite Brake Mechanism," we demystify...

A Geometric Solution and Interpretation of the Poincaré Conjecture: The Perspective of Visual Relief and Sweep-out Protocol

This paper presents a novel conceptualization and structural analysis of the 3-dimensional Poincaré Conjecture. By introducing the "Sweep-out Protocol" via a dynamically expanding 2-dimensional sphere trajectory and integrating an inherent "Infinite Brake Mechanism," we demystify...

A Geometric Solution and Interpretation of the Poincaré Conjecture: The Perspective of Visual Relief and Sweep-out Protocol

This paper presents a novel conceptualization and structural analysis of the 3-dimensional Poincaré Conjecture. By introducing the "Sweep-out Protocol" via a dynamically expanding 2-dimensional sphere trajectory and integrating an inherent "Infinite Brake Mechanism," we demystify...