Atomic Collapse in Graphene Pack enough positive charge onto one spot of a graphene sheet and the electrons stop circling it — they spiral inward and pile into a bright resonance that sinks below the “Dirac point” (the cyan line). It is a tabletop echo of what a nucleus heavier than about element 170 would do to the quantum vacuum. The landscape is the electron density versus distance from the charge (near edge) and probe energy (far edge); the gold dots are the artificial nucleus. Drag the charge β past ½ and watch the resonance dive. Electrons in graphene move like massless particles, so they obey a 2‑D Dirac equation. Drop in a Coulomb well −β/r and split it by angular momentum j: near the charge every solution behaves like rⁿ, with exponent √(j²−β²). Below β = ½ that exponent is real and the electron merely scatters (faint Friedel ripples). Above β = ½ it turns imaginary — r raised to an imaginary power is endless oscillation in log r, the wavefunction “falling to the centre.” Matching that inward spiral to the outgoing waves leaves quasi‑bound resonances at energies spaced by e^(−2πn / √(β²−¼)), a self‑similar ladder diving toward the Dirac point. We integrate the radial Dirac equation on load and render the density it predicts.