Axiomatic Localism and the Resolution of Causal Slack: A QGD Refutation of Top-Down Indeterminism

Ellis, Potter, and Mitchell (2026) argue that the universe is irreducibly indeterministic and that 'causal slack' — an under-determination of micro-states by macro-boundary conditions — is a fundamental feature of physical reality that creates logical space for a scientifically respectable notion of free will. This paper offers a systematic refutation of that position from within Quantum-Geometry Dynamics (QGD), a framework derived from three minimal physical axioms: discrete space constituted by fundamental spatial units (preons(-)), kinetic matter constituted by fundamental matter units (preons(+)) executing discrete leaps across that space, and exactly two opposing forces — p-gravity (attractive) and n-gravity (repulsive) — with scale-dependent relative dominance. The paper advances five lines of argument. First, causal slack is shown to be a modelling residual rather than a physical primitive: it arises from the failure of a coarse-grained description to specify the full preonic micro-state, not from any indeterminacy in the micro-state itself. Second, algorithmic incompleteness — including Gödel's theorems, Turing undecidability, and the P vs NP distinction — is demonstrated to be a pathology of infinite-precision arithmetic that does not arise in the finite discrete preonic universe, where bounded arithmetic is fully decidable. Third, the QGD Definition of Object — a structure whose response to any external force is entirely describable by its total mass and the resultant of its constituent preons⁺ momentum vectors — provides precise physical individuation of what EPM call 'macro-level structures', dissolving their causal hierarchy into a physically grounded scale hierarchy with no non-deterministic transitions between levels. Fourth, what EPM call downward causation is identified as the fully deterministic consequence of aggregate field-density gradients constraining individual preon⁺ dynamics through local p-gravity interactions — a bottom-up process with no selection residue. Fifth, recent undecidability results in quantum gravity (Physical Review D, 2026) are shown to be scoped exclusively to smooth-geometry frameworks and to have no applicability to the discrete preonic lattice. The paper concludes that determinism is not an assumption of the QGD framework but a consequence of its three axioms: once space is discrete, matter is kinetic, and the forces are specified, every causal successor state is uniquely determined. Any Minimally Physically Derivable Theory must be deterministic, because indeterminism requires the mathematical continuum, and the continuum is not physically admissible as a fundamental description of space.