Proof of Concept: Holding near-finished computation to bridge logic states for rapid prompt iteration.
2D Steady-State Heat Equation (Laplace PDE)
Heat Source (Prompt) Heat Sink (Prompt)
Cold (-1.0)Hot (1.0)
Execution Control
Discards held logic state. Recomputes entire context. High energy, slow speed.
Holds near-finished computation. Bridges to new prompt. Low energy, near-instant speed.
Cold Start Iterations:-
Cold Start Time:-
Bridged Iterations:-
Bridged Time:-
Speedup Factor (Compute Efficiency):-
The AI Analogy:
• The Grid = The AI's Context Window / Internal Logic State.
• Boundary Conditions = The User's Prompt.
• Error Rate ~0 = Mathematical equilibrium (The "finished" logic state).
• Cold Start = Standard Transformer inference (Recomputes everything from token 0).
• Bridged State = KV Caching / Continuous Batching / Activation Steering. The system holds the "finished" state and only computes the Delta for the new prompt iteration.