Hamiltonian Parameters
1D TFIM
35
1.00
0.00
Experimental Presets
CFT Telemetry
CFT Conformal Score:
98.4%
Central Charge (c):
0.50 (2D Ising)
Half-Chain Entanglement S:
0.684 k_B
Ground State Energy E₀:
-44.12 J
Direct CFT Observation: Right at the quantum critical tipping point (g/J = 1.00), the many-body excitation rungs form an exact linear conformal ladder matching the predicted operator scaling ratios (1 : 2 : 3 : 4...).
Synthetic Quantum Lattice & Spatial Wavefunctions
Click atom to perturb spin
Two-Point Spin Correlation Heatmap ⟨σᵢᶻ σⱼᶻ⟩
Hover over matrix
CFT Conformal Tower Ladder
Δ + k scaling
Observed vs Predicted Rung Ratios
| Rung | Operator | Predicted | Observed |
|---|
Conformal Invariance: As established in Nature / Caltech 2026 findings, emergent continuous spacetime conformal symmetry forces discrete lattice eigen-modes to condense into Virasoro Verma modules at the critical tipping point.