From Discrete Geometry to a Unified Theory of Fundamental Interactions: Resolution of Unsolved Problems in Physics and Mathematics within the Framework of Topodynamics on the 26 Valent Cubic Lattice Oₕ

Key Points

• This work aims to resolve major unsolved problems in physics and mathematics using a unified geometrical approach.
• Utilized a parameter-free approach based on the geometry of the 26-valent cubic lattice.
• Addressed multiple fundamental problems using the framework of topodynamics.
• Resolved the hierarchy problem, dark matter, and dark energy with a unified theory.
• Provided solutions to the measurement problem and the black hole information paradox.
• Addressed all seven Millennium Prize Problems through geometrical principles.