Neutrinos as Topological Copying Defects: A Geometric Origin of Flavor from Stochastic Lattice Dynamics

We propose that neutrinos arise as chiral topological defects of a stochastic copying process on a 4D simplicial complex, classified by cohomology groups Hp(K,Z2) with p =2,3,4, naturally yielding three generations without introducing new symmetries. Neutrino oscillations emerge from interference between topological frequency modes associated with distinct simplex classes. The mass-squared differences fol low an effective hierarchical scaling: ∆m2 ij ∝ |ωi −ωj| ∼ O(1)·Λ2 ·∆|qi−qj| where qi = 4−dim(Si) are effective topological charges, Λ ∼ MPl is the fundamental cutoff, and ∆ = 0.10±0.02. The predicted ratio ∆m2 31/∆m2 21 ∼ 10 is within a factor of 3 of the observed value ∼ 30, consistent with order-of-magnitude emergence. The PMNS matrix arises geometrically from overlaps between charged lepton dis tributions and simplicial defect modes, yielding realistic mixing angles without pa rameter tuning and predicting δCP = (1.1 − 1.3)π. Neutrino masses mi = κ·∆qi are generated via topological frequencies, decoupled from the Higgs VEV. Fitting to |∆m2 31| ≈ 2.5 × 10−3 eV2 yields κ ≈ 1.7 ×10−2 eV and the spectrum mνe ≈ 1.7×10−4 eV, mνµ ≈ 1.7×10−3 eV, mντ ≈ 1.7×10−2 eV, satisfying the cosmological bound mν <0.12 eV. The framework replaces Yukawa couplings in the neutrino sector by topological structure and provides a geometric origin of flavor. Majorana mass terms are for bidden by a conserved Z2-valued topological current, ensuring neutrinos are Dirac fermions. The model predicts: (i) percent-level deviations in energy-dependent mixing an gles, (ii) small non-unitarity ∼ 10−3, (iii) exponentially suppressed sterile neutrinos (e−1/∆), and (iv) no observable neutrinoless double beta decay (T0ν 2 1/2 >1028 yr). These predictions will be probed by JUNO, DUNE, LEGEND, and nEXO in the near future. This work links stochastic quantization with flavor structure, offering a new geometric paradigm for neutrino physics.