Meta-Nanoelectronics via Universal Rough Operator Algebra (UROA): Subsuming Quantum Leakage, Thermal Bottlenecks, and the Boltzmann Limit

The fundamental physical limits of nanoelectronics—specifically the Boltzmann tyranny of Subthreshold Swing (SS) [1], exponential contact resistance [2], and interfacial thermal bottlenecks [3]—are deductively subsumed and mathematically elevated using the Seonggil Theory of Composite Torsion (STCT) and UROA. By redefining semiconductor interfacesas 8-Dimensional Non-commutative Tensor Boundaries, we introduce the concepts of Topological Negative Capacitance and Symplectic Phonon Cooling. This framework structurally transcends classical scaling limits, enabling near-zero subthreshold leakage and true ballistic 3D integration without catastrophic thermal degradation.