Authors: John James
This thesis presents a novel unification framework that bridges quantum mechanics and general relativity through a discrete, vectorial system known as the 2D Quanta lattice. By modeling spacetime as a combinatorial network of directional vectors normalized within a ±1 amplitude space, this framework simulates both quantum probability amplitudes and relativistic spacetime curvature without relying on continuous manifolds.Key to this model are cross-current vectors—diagonal propagations formed by orthogonal summations—which encode null trajectories and time dilation through angular geometry. These directional patterns replicate relativistic effects such as gravitational lensing and light-cone symmetry, while simultaneously generating quantized amplitude regions analogous to those found in the Amplituhedron, a geometric object central to modern scattering theory.Through a series of diagrams and mathematical constructions, the thesis demonstrates that both curvature and amplitude emerge from the same discrete summation rules. This suggests that space, time, and probability may be dual projections of a deeper vectorial logic—a symbolic substrate from which physical law arises. The result is a unified, geometry-based interpretation of fundamental physics, grounded in direction, symmetry, and quantized coherence.
Comments: 21 Pages. JohnBJamesJr@gmail.com, 619-203-5078
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