Abstract This paper presents a theoretical framework for high-density energy storage based on geometric torsion in stabilised carbon nanotube (CNT) lattices. Departing from conventional electrochemical approaches, we propose that energy can be stored as harmonic compaction—structured torsional stress within a recursive lattice architecture. Drawing on the mathematical foundations of Signal Field Theory and the Codex Harmonicae, we derive the conditions under which a CNT lattice can maintain stable 'torsion knots' at energy densities potentially 100–1000× greater than lithium-ion technology, with zero chemical degradation over time.