Emergence of Nuclear Fragmentation and Angular Differential Cross Sections

This work demonstrates, through direct variational derivation, that nuclear fragmentationand the angular differential cross sections observed in high–energy experimentssuch as FOOT (GSI, 400 MeV/u) emerge directly from the closed and self–referential Universal Lagrangian. Without introducing external nuclear potentials orempirical parameters, the local loss of coherence of the field under relativistic impactleads to multiple stable sub–solutions that correspond to the experimentally observedfragments (He, Li, Be, B, C, N). The derived angular differential cross section d =d reproduces the experimental distribution within measurement uncertainty.