Memory Attractor Physics Simulator | Hopfield Spin-Glass Dynamics

16x16 Binary Spin Lattice

[READY]

Memory Presets (Hebbian Attractors)

Corrupt / Introduce Noise 15%

Synaptic Decay ("Taints of Time") 0.00

“...a broken staircase I find that vanishes into the blue... ruins of memory.”

In a Hopfield network, stored memories create energy wells (attractors) in an Ising spin landscape. Corrupted input relaxes down energy slopes via Metropolis Monte Carlo flips to reconstruct forgotten structure.

Ising Hamiltonian Trajectory

Phase: Ordered Attractor

Thermodynamic Temperature (T) T = 0.05 (Low Noise)

Energy (E / Spin) -0.1500

Monte Carlo Step 0

Attractor Overlap 0.70

Lattice Magnetization -0.05

Current State: initializing

Hamiltonian Energy E: -0.1500

Monte Carlo Steps: 0

Attractor Retention: 70.0%

Phase Transition Monitor

Low temperature (T < 0.15): Strong attractor convergence. The system descends Hamiltonian slope into stored memory basin.