Two Energy Theory TDE v19.0: Dynamic Resonance Map with Operator Gates, Shadow-Field Action and a Cascade-Aware Hadron Decay Engine

Two Energy Theory v19.0 extends the previous static TDE hadron-mass lattice into a dynamic, reproducible framework for decay channels, branching-fraction ranking, partial widths, total parent widths and cascade-aware resonance prediction. The release introduces the Dynamic Resonance Map, where hadrons are represented as lattice nodes and decays as transition paths governed by Q-value closure, lattice displacement, angular-momentum/parity constraints, operator gates and an additional shadow-field action. The computational framework is developed through the MTDE-1–MTDE-16 sequence. It adds operator gates for strong, electromagnetic, weak and shadow/neutrino-mediated transitions; extracts effective TDE coupling strengths; models charged leptons as visible-sector corrections and neutrinos as shadow-barrier leakage carriers; introduces an operator-specific shadow action; and extends the decay engine from direct two-body channels to cascade topologies of the form (X → R+a → a+b+c). The package contains the manuscript, LaTeX source, reproducibility scripts, input data, benchmark tables, Excel summaries and CSV/ZIP outputs. The tests include PDG-based channel comparisons, leave-parent validation, leave-family validation, hidden-resonance validation and cascade-aware total-width correction. The strongest conclusion is not that TDE is proven, but that a simple mass lattice can be extended into a testable dynamic resonance model in which geometry, operator type and shadow-field action jointly control decay feasibility, dominant channels and total widths.