Quantum Space Theory (QST): A Consolidated Axiomatic Formulation **Physics is the geometry of the admissible reconfiguration of the quantum spatial medium** Quantum Space Theory proposes that space is not a stage but the single fundamental physical system — a discrete quantum medium — from which spacetime, matter, forces, and time emerge as collective phenomena. The theory rests on four axioms: an ontology of a network carrying Quantum Tension Relations (A1); a physical space reduced by Gauss constraints and by a new symmetry, metasymmetry (A2); a dynamics of extremization of a reconfiguration cost governed by a spectral metric on configuration space (A3); and a coarse-graining bridge to effective continuum fields (A4). From this basis, quantities usually postulated are derived as structure: mass as the minimal cost of sustaining a stable pattern, inertia as the spectral resistance to dragging its dressing, time as the relational update rate of the medium, the emergent Lorentzian metric as a common causal cone, the four interactions as channels of a single superconnection, and matter as braids of three flux lines with structural charge quantization (6Q = 3W + S). The framework offers constitutive mechanisms for the dark sectors and a singularity-free cosmological bounce. Each claim carries an explicit logical status — definition, proposition, target theorem, conjecture, or falsifiable hypothesis — and the theory includes a thirteen-item falsification list. The document also reports the first numerical program (Program 14.A), which tested the mass–inertia Equivalence Conjecture in a minimal model and obtained a weak closure at the 10⁻³ level, with negative controls excluding tautology. Keywords: quantum gravity, emergent spacetime, background independence, discrete quantum geometry, unification, Lorentz invariance, dark matter, dark energy. takashimoonsato@gmail.com