Amplitude-Driven Collapse in Discrete Spacetime: A Realist Interpretation of Quantum Mechanics

We propose a realist interpretation of quantum mechanics that replaces the ambiguous notion of collapse with a concrete physical mechanism: amplitude driven interactions on a discrete spacetime lattice. A deterministic substrate evolves the universal wavefunction, samples it on each tick to actualize interactions, and updates both the wavefunction and the lattice geometry. Decoherence supplies the update rule; the Born rule emerges from the sampling procedure; and general relativity is incorporated through lattice deformation. This approach resolves the measurement problem, preserves coherence across all physical regimes, and avoids the conceptual burdens of many worlds and hidden variable theories. The resulting picture is a minimal, realist, single world account of quantum mechanics grounded in causality and discrete spacetime.