The GG-Constitution: Four Axioms and Seven Postulates of the GG-Theory Program, From Which GG-6, BI-6, OGN-5, and GDOS Descend as Theorems

Abstract

Every theory of nature is built on a foundation, yet that foundation is rarely written down. For three and a half centuries — from Newton through Maxwell, Einstein, and the Standard Model — physics has worked beautifully without making its rules of admissibility explicit, relying instead on a craft tradition passed from textbook to textbook and from supervisor to student. In this paper, we propose that the next foundational step is to write the constitution down. The GG-Constitution — the foundational charter of GG-Theory (Grand Geometric Theory, equivalently Geometry-Gauge Equivalence Theory) — consists of four axioms — locality and causality, the geometry-gauge equivalence principle, the operational/open extension of that principle to measurement, and a maximum-symmetry minimum-freedom rule — together with seven postulates that turn the axioms into a working filter for admissible scientific claims. Remarkably, the eleven clauses are rigid enough to force, as theorems in the companion papers, the six-dimensional bulk geometry, the four-component anomaly identity that locks gravity to gauge structure, the integer ledger that fixes the electroweak hierarchy, and the open-system boundary law from which quantum mechanics, general relativity, and quantum field theory emerge as four-dimensional projections. Strikingly, the same four axioms, when applied with different subsets active, locate essentially every major theoretical-physics framework of the twentieth century — general relativity, gauge theory, string theory, AdS/CFT, quantum mechanics, the Standard Model, and ΛCDM — inside a single constitutional tower, and predict which of each framework's famous limitations follow from which axioms it lacks. After all, what makes a body of knowledge a science is not the cleverness of its calculations but the honesty of its rules. 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/