Theoretical framework, interactive simulations, and experimental predictions
A theoretical framework where zero-point fluctuations coherently reshape effective energy landscapes governing barrier-crossing processes in strongly correlated condensed matter. Self-consistent gap equation with saddle-node fold bifurcation, toroidal Casimir mode sum, vortex-RG sector (C1–C6), catalyzon five-mode hybridization, and six experimental signatures including Hall staircase and THz resonance.
Unification of Faddeev–Niemi hopfions (π3(S²) = ℤ), a dynamical superfluid with Unruh–Visser acoustic metric, Cartan torsion in the teleparallel equivalent of GR (TEGR), and zero-point Casimir vacuum on a fat torus. Three-layer claim discipline (L1 laboratory, L2 analogue geometry, L3 conjectural spacetime ontology). Shares locked numbers with QVC: = 0.58068, Evac = 0.1287 meV, Δ* = 0.2324 meV.
Triple-coincidence test: THz emission at ν0 = 0.112 THz + fold softening (STS) + Hall step e²/(10h). Platform-specific protocols for magnetic hopfion lattices (Ir/Co/Pt), MATBG flat-band condensates, and superfluid ³He-A / cold-atom systems. Laser-driven parametric DCE amplification.
Real-time WebGL simulations exploring quantum vacuum physics. All run in-browser via Three.js and React Three Fiber.
Interactive analogue-gravity wormhole visualization. Hopfion-sourced torsion fields, Painlevé–Gullstrand tetrads, acoustic horizon kinematics, and Unruh–Visser metric exploration.
Hybrid computational showcase combining hopfion crystal lattice dynamics, teleparallel torsion fields, five Goldstone mode dispersion, and democratic coupling matrix eigenvalue decomposition.
Visualization of the S³ → S² Hopf fibration, lens-space fractionalization L(N,1), Chern–Simons invariants, and hyperspherical torsion flows connecting QVC and TDVT sectors.
Saddle-node fold gap map, toroidal Casimir geometry (fat torus), vortex-RG competing scales, Bessel mode sum convergence, and catalyzon five-mode hybridization with locked Option A* numbers.
Comprehensive 6-tab interactive lab: TEVC moiré lattice, catalyzon five-mode hybridization, hopfion toroidal geometry, saddle-node fold gap map, toroidal Casimir cavity, and vortex-RG phase diagram. All locked Option A* numbers with real-time 3D particle physics and 2D analytic plots.
BCC hopfion crystal particle simulation with Vakulenko–Kapitansky bound visualization, acoustic horizon formation, Hawking temperature computation, and magnon dispersion with torsion corrections.
Dynamical Hopf fibration mapped through prime number theory with QVC physics. 2D phase-space PDE evolution, Ginzburg-Landau dynamics, prime-harmonic resonance scanning.
All simulations require a modern browser with WebGL 2.0 (Chrome, Firefox, Safari, Edge). Dedicated GPU recommended for 60 FPS. Minimum 4GB RAM. These are illustrative educational models — real experimental setups are governed by full quantum/plasma equations.