GG-Theory with GG-6: Geometry–Gauge Locking at the 6D Bulk (GG-6) at the Heart of Grand Geometric Theory (GG-Theory)

Abstract

Gravity is the shape of spacetime. The other three forces are not: they are rules attached on top of spacetime rather than properties of it, and physics has kept these two kinds of law in separate boxes for a hundred years. This paper closes the gap by making them two faces of one geometric object. The construction adds two directions to the familiar four, and neither is a place. One is scale — a dial saying at what energy the world is being examined. The other is an angle on a circle, the one that electric charge and its relatives already turn. Both are pure numbers carrying no length, so nothing here is a hidden room of space. On that six-dimensional stage the forces become a single connected structure, and one topological identity locks the parts of it together. What the identity leaves is unexpected: every pure number a physicist would ordinarily have to measure and insert by hand collapses into five whole numbers — one, three, five, seven and thirty-five — which satisfy two independent arithmetic conditions at once, and do so at no other values. Nothing is left to choose except the units. Six forces follow rather than four. Two of them are new: one that forbids the proton from ever decaying, and one that carries information and sets an exchange rate between energy and what a system knows. The framework shares its central mechanism with string theory and parts company at four specific decisions, each written down and each carrying a consequence a measurement can reach. Ten such measurements are declared here in advance, with the outcome that would end the framework named beside each. A theory with nothing left to adjust cannot be repaired when an experiment disagrees with it, and that is not its weakness. It is the only thing that makes a claim about the world worth making. Part of the GG-Theory program, a series of preprints developing a six-dimensional geometric framework and its consequences for particle physics, cosmology, and open-system dynamics. The complete series is available at https://preprints.arisaka-gg.org/