Relativistic Pinball

Physics mode: Classical vs Relativistic (weak‑field). Classical : Newtonian N‑body; ball uses a = Σ Gm/r², no γ, no hard c‑limit. Relativistic : SR‑ish kinematics for the ball (dp/dt with γ, speed &lt; c) plus mild, gameplay‑driven gravity corrections; approximation, not full GR.
Camera mode: Lab vs Ball Camera. Lab : Draws current positions at the current simulation time. Ball Camera : Draws apparent (light‑time delayed) positions from the newest ball’s perspective using short history buffers; affects rendering only, not physics.
Proper‑time HUD: Shows the selected ball’s proper time and γ; physics integrates in the simulation (lab) frame for stability.
Intentional compromises: No full GR geodesics, no true simultaneity handling; the “ball view” is an observer/camera effect to convey intuition without re‑integrating in changing frames.
Controls: (F) physics mode; (T) camera mode; (M) planet motion; (P) overlay; (R) reset; (N) new level; (S) sound.

Technical Note: This is a gameplay approximation, not a GR simulation. The "relativistic" mode uses scaled, SR-flavored kinematics and an illustrative Schwarzschild-radius visualization, but it does not integrate geodesics, model frame dragging, or handle full simultaneity correctly. The physics is intentionally approximate so the game stays stable and playable.