Graph-Theoretical Techniques in Nuclear Decay Pathway Optimization

This paper proposes a system for nuclear decay dynamics and synthesis pathway optimization is developed via spectral analysis and Galois symmetry constraints. Key results include spectral decompositions that respect algebraic symmetries, exponential convergence governed by the spectral gap, and an algebraic characterization of optimal synthesis costs. These findings yield precise, scale‐invariant predictions for nuclear stability and synthesis feasibility.