Coulomb Barrier Suppression Does Not Lead to Energy Production

A structural analysis of nuclear processes is developed within a closed quartic variational framework defined exclusively by its internal functional form, its variational equation, the Hessian operator, and a global decision functional. No external parameters, no fitting procedures, and no phenomenological assumptions are introduced. Energy is shown to emerge solely from the spectral structure of admissible configurations and not from local interaction processes. Within this framework, the classification of phenomena in terms of nuclear reactions does not define a corresponding energetic mechanism. An explicit construction demonstrates that compact configurations admit admissible transitions toward lower functional states, associated with strictly positive energy differences. These transitions correspond structurally to fission. In contrast, configurations obtained through the merging of initially admissible states are shown to violate the admissibility criteria. The variational condition is not preserved, cyclic closure is broken, spectral stability fails, and global coherence is lost. As a consequence, no admissible configuration associated with fusion exists within the variational structure. The analysis establishes a fundamental structural asymmetry: fission is admissible and selectable, while fusion is excluded from the admissible set and does not constitute an energy-generating mechanism.