Topological Enhancement of Heavy Element Synthesis in the TET–CVTL Framework: Anyonic Catalysis Beyond the Iron Peak

This preprint explores the application of the Topological-Entropic Theory with Conformal Vacuum Tensor Lattice (TET–CVTL) to heavy element synthesis beyond the iron peak (Z > 26). The primordial trefoil anyonic phase θ = 6π/5 provides constructive interference in multi-particle fusion channels, dramatically reducing Coulomb barriers for high-Z reactions.Open QuTiP proxy simulations demonstrate collective enhancement factors of 20–60× in systems with effective Z > 20, offering a parameter-free alternative to traditional r-process, s-process, and accelerator-based nucleosynthesis. The mechanism potentially enables systematic laboratory production of trans-fermium elements and exploration of the predicted island of stability (Z ≈ 114–126, N ≈ 184).The preprint also discusses applications to aneutronic fusion (especially p-¹¹B), quantum materials (perovskites, graphene/hBN, diamond), and quantum technologies (Majorana/GeV/SiV centers, quantum sensing, metrology).