Paper CXII: · · Prediction P188 Wave-Particle Duality as Lattice Resolution Particles Are Lattice Nodes. Waves Are Inter-Node Coherence. The Debate Was About

The century-long Einstein–Bohr debate over whether light is a wave or a particle is dissolved — not resolved — by recognising that the question was about resolution, not nature. In the One-Octonion Brane-Bulk Framework, the universe is a Fano lattice. A lattice has two simultaneously real aspects: its nodes (discrete, localised) and its inter-node phase coherence (distributed, continuous). Seeing a particle means resolving a single Fano lattice node. Seeing a wave means resolving the phase coherence flowing between nodes. These are Fourier conjugates of each other in the lattice — not complementary properties of an ambiguous entity, but different resolutions of the same unambiguous structure. The photon, as a δH = 0 brane mode, IS inter-node phase coherence: each node handoff ⁺ costs exactly h = ℓ_P m_P c. That is simultaneously why it is the purest wave (it is coherence) and the purest particle (it is one quantum). The 2025 MIT/USTC springy-slit experiments find V² + D² < 1 for intermediate measurement strengths. The framework interprets this as T2* brane decoherence (not state mixing), predicting an exponential decay of V² + D² with propagation distance L that is absent from standard QM. This is Prediction P188.

Part of the One-Octonion Brane-Bulk Framework series. Anchor DOI: 10.5281/zenodo.19120873. Community: one-octonion-brane-bulk. Author: Bharathi Dasan Jagadeesan, M.D., University of Minnesota. ORCID: 0000-0002-1143-941X.