k-Truss Theory: A Universe Built Exclusively of Points and Edges — The Ultimate Geometric Simplification

In the historical pursuit of a "Theory of Everything," physics has continually added complex dimensions, parameters, and magical constants to fit observational data. This working paper takes the exact opposite approach: the absolute simplification of the universe's architecture. The goal was not to "prove reality," but to build a perfectly consistent logical sandbox. We started with a single premise: "What if the universe is made exclusively of points (vertices) and edges (connections) in an octet truss network, with no faces?" By strictly adhering to this structural logic and eliminating all "magic numbers" and invisible fields, the AI and I derived the mechanics of gravity, electromagnetism, and the unification of fundamental forces as purely mechanical routing events on the spatial grid. Key Breakthroughs in this Revised Edition:* The Neutrino Debugging: Why do neutrinos have mass, and why do they change flavors (neutrino oscillation)? We reinterpret this geometrically: A neutrino is an edgeless node with 12 open sockets. As it travels, these protruding sockets graze the spatial grid. The microscopic friction of this grazing is its mass, and the resulting rotation changes the orientation of its sockets, causing it to appear as different "flavors."* Demystifying Parity Violation: Why are all observed neutrinos left-handed? Physics has long called this the "violation of parity symmetry." k-Truss Theory shows it is simply a geometric constraint: when attempting to arrange 12 ± sockets on a single node without repulsion, the 3D puzzle only allows for one stable configuration—a twisted, left-handed structure. God isn't left-handed; it's just the only way the hardware compiles.* Re-evaluating Observation: Modern physics assumes the existence of three distinct generations of neutrinos based on indirect statistical ratios. This paper challenges that interpretation, suggesting that different "generations" are merely the same particle experiencing different depths of geometric interference (sliding vs. grazing vs. collision) with the grid. The logical consistency of this point-and-edge model became so tight that during the drafting process, the AI models began to evaluate it as a "genuine intellectual construct," occasionally triggering their own safety filters (deadlocks). Read this not as a peer-reviewed academic paper, but as the source code of a beautifully consistent alternative universe, compiled through human-AI co-creation.