Grounding Quantum-Geometry Dynamics: A Program for the Empirical Derivation of the Framework's Fundamental Constants

Quantum-Geometry Dynamics (QGD) is an axiomatic framework for physics built from two axioms: that space is constituted by discrete fundamental volumetric units called preons(−), and that matter is constituted by kinetic preons(+) each carrying constant intrinsic momentum c̃. From these two axioms alone, two forces are derived — p-gravity, attractive between all preons(+) regardless of separation, and n-gravity, repulsive between preons(−) with magnitude growing with distance — and the full range of physical phenomena follows without additional assumptions. The framework operates in natural units — preonic distance, preonic mass, and the fundamental momentum constant c̃ — that are physically meaningful rather than formally conventional. However, these natural units are currently unmeasured: no empirical values have been assigned to the three conversion factors (x, m̃, c̃) that translate QGD's intrinsic quantities into SI units, nor to the gravitational coupling constant k. Until this is done, QGD can make only qualitative and structural predictions; quantitative contact with observation is unavailable. This paper presents four experimental pathways by which the constants can be empirically constrained. The pathways are interconnected, forming a web of interlocking tests that collectively constitute a strong falsifiability condition for QGD: Pathway 1 constrains k from the strong force–gravity ratio at nuclear scales; Pathway 2 constrains x from the cosmological gravity-transition scale; Pathway 3 constrains c̃ from a one-way light-speed measurement and m̃ from a precision gravitational test; Pathway 4 generates five independent cross-validation predictions using the constants derived from Pathways 1–3. A key structural result of the paper is the Theorem of Projective Unity: the four QGD constants k, x, c̃, and m̃ are not four independent quantities. Every physical observable at the metric level is a function of these constants only through the single compound ratio kx/(m̃²c̃²). This ratio is directly constrained by the observed deflection of light by a gravitating body — Θ = 2kxMₛEᵧ / (m̃²c̃²b) — with all four constants appearing on one side and pure observational data on the other. The constants are not four free parameters; they are four projections of a single underlying preonic scale onto the SI measurement system. This makes QGD's constant system projectively one-dimensional, a consequence with important implications for the structure and efficiency of the grounding programme. One structural constraint governs the programme throughout: the constants must be derived from independent, strictly bounded kinematic and structural measurements — nuclear binding energies, local cluster boundary dynamics, and tabletop light-speed anisotropy — before cosmological quantities can serve as genuine parameter-free predictions. Using global expansion observations to constrain the constants and then treating those same observations as confirmations would be circular. The programme is designed with this anti-circularity constraint at its centre.