This manuscript presents a Lean-formalised, discrete null-lattice light-cone construction that derives an auxiliary field and rapidity ladder directly from combinatorial structure. The resulting framework supplies an explicit, lossless interpretation of quantum superposition on an octonionic ℝ⁸ carrier while exactly reproducing the inner-product invariants of standard quantum mechanics. It simultaneously enables an exact sparse, horizon-causal update rule that supports efficient classical simulation in structured regimes. The model establishes a horizon-limited bridge between quantum mechanics and quantum field theory. A finite measurement layer implements Born-rule normalisation together with closed energy accounting through auxiliary, birefringence, and redshift channels. The discrete carrier is ultraviolet-finite by construction; infrared behaviour is controlled by a causal horizon. Lattice combinatorics force the shell-wise curvature-imprint ratio α = 3/5 and the complementary unit-horizon fraction γ = 2/5 exactly. The same auxiliary bookkeeping naturally accommodates polarisation-rotation observables, with direct implications for cosmic-microwave-background birefringence at large scales. Applications to quantum chemistry and protein folding are demonstrated through nonnegative traceable site-energy contracts and refinement algebras. The auxiliary carrier wave supplies full local bookkeeping of energy flows and probability currents within the horizon-limited causal structure. This deterministic local accounting explicitly rules out globally branching many-worlds interpretations and instead provides an algebraic foundation that aligns the model with a pilot-wave ontology: measurement selection emerges from an explicit, calibrated rule that enforces Born-rule statistics without invoking dynamical collapse. The construction remains a representation-level reformulation focused on operational completeness and conservation.
Steven Jr Ettinger (Wed,) studied this question.