Quantum Physics

   

The Quantahedron: a Lattice-Based Framework for Unifying Quantum Mechanics and General Relativity Through Angular Geometry

Authors: John James

This paper introduces the Quantahedron—a 2D angular geometry whose symmetry and deviation encode mass, energy, and time. Within this framework, mass, energy, and time emerge from directional summation and angular deviation, and the speed of light squared (c!) is a geometric invariant embedded in null-diagonal propagation. The Quantahedron structure operates as a discrete lattice of vectorial propagation governed by amplitude normalization (|V"| + |Vᵧ| = 1). When V" = Vᵧ, mass vanishes, and propagation is light-like. Asymmetry from this null slope encodes mass via the relation m = |#$|, while energy arises geometrically through E = m × c!. By anchoring lattice units to known physical constants (e.g., Compton wavelengths of the electron and proton), the Quantahedron allows direct calibration into measurable physics. Time itself emerges as a function of angular delay, unifying geometry with relativistic curvature and quantum amplitude. This geometric interpretation proposes a novel unification between quantum mechanics and general relativity, suggesting that the deep structure of reality may be written not in forces or fields, but in form. E = mc! becomes not an applied relation, but a geometric truth lived by the lattice.

Comments: 29 Pages. © 2025 John James. Published also on Zenodo: https://zenodo.org/records/15706608

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[v1] 2025-06-20 20:31:18

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