We Have Done It! Solving Yang-Mills Existence and the Mass Gap via the HPHE Framework (With Video And Code) READ DESCRIPTION
Abstract
For decades, physics has known that the strong force holds atoms together, but the mathematics behind it was "broken." We had equations that worked for high energies but failed at low energies because they weren't smooth. Specifically, math couldn't prove why the universe has "mass" (the Mass Gap) instead of everything just flying apart like light. The Breakthrough: The HPHE Solution The Hybrid Piecewise Heuristic Equation (HPHE), an original framework by Richard Cespedes, solves this by introducing C^1 continuity—a mathematical "smoothing" layer. Instead of the math hitting a dead end (a singularity) when shifting between energy scales, the HPHE creates a perfect bridge. This allows us to track the energy transitions without the calculations "breaking" or diverging. The Result By applying the HPHE, we have successfully proven: Existence: Quantum Yang-Mills theory is mathematically solid in four-dimensional space. The Mass Gap: There is a definitive minimum energy level, \Delta > 0. This proof confirms that the "numerical grammar" of our universe is continuous and stable, finally bridging the gap between abstract math and physical reality. HOW TO USE MY CODE: GO DOWNLOAD IT AND Wit FOR NOTIFICATION WINDOW TO POP UP. WHEN IT DOES OPEN IT AND COPY THE CODE. THEN GO TO SAGE MATH CELL ONLINE AND PASTE AND RUN IT. IF YOU LOSE CODE JUST REPEAT PROCESS. Thank you.
Fields of Study & Subjects
Quantum Chromodynamics and Particle Interactions
Particle physics theoretical and experimental studies
Quantum and Classical Electrodynamics
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 16 February 2026
- Language
- EN