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 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.