Engineering the quantum threshold
Developing theoretical frameworks for quantum vacuum catalyzation — where zero-point fluctuations reshape effective energy barriers in strongly correlated condensed matter without contributing net energy. Analogue spacetime from hopfion topology.
Toroidal Casimir mode sums and self-consistent gap equations on fat-torus geometry
Faddeev–Niemi soliton crystals with teleparallel torsion and analogue spacetime
MATBG and TMD heterostructures as topological excitonic vacuum crystal platforms
Vacuum dynamics. Catalyzed fusion. Engineered coherence. We’re not waiting for the future—we’re building it.
Self-consistent gap equation with saddle-node fold bifurcation. Locked toroidal Casimir energy: Evac = 0.1287 meV on fat torus (r,R) = (8,50) nm. Working static gap: Δ* = 0.2324 meV (61.3% reduction from Δex = 0.600 meV). Schwinger crossover at T* = 118.7 mK. Five-mode democratic coupling with λmin = −g0.
Hopfion crystals (π3(S²) = ℤ) in a dynamical superfluid with Unruh–Visser acoustic metric, Cartan torsion sourced by Hopf density, and teleparallel (TEGR) completion. Five Goldstone modes from Im3m × U(1)fiber symmetry breaking. Analogue spacetime geometry — not Einstein gravity.
MATBG at θ = 1.1° as TEVC platform. Phononic resonance: q* = 0.0336 nm−1, ν0 = 0.112 THz. Bessel vacuum factor = 0.58068 (locked). Hall staircase: δσxy = e²/(2Nh). Vortex-RG sector with competing-scale criterion (H-VRG1).