Gravitational Lensing & Spacetime Optics Simulator

🔭 Astronomical Presets

⚙️ Physics Gravity Engine

Deflection Theory Model

Mass 1.0 × 10¹² M☉

Lens Radius Profile Point Mass

Source Y Offset (Impact) 12.0 kpc

Ray Density 48 Rays

👁️ Grid & Visualization

Spacetime Metric Grid Caustic / Critical Curves Observer View Inset

MODE: General Relativity

EINSTEIN RADIUS (θ_E): 1.45 arcsec

CURRENT DEFLECTION (α): 2.89 arcsec

💡 Drag Light Source (Amber) or Lens (Cyan Ring) to observe real-time photon geodesic warping.

📊 Optical Telemetry

MAGNIFICATION (μ)

3.42×

Total Flux Amplification

IMPACT PARAM (u)

0.35

u = b / R_E

IMAGE DISTORTION

Arcing

2 Images Formed

DEFLECTION RATIO

2.00×

Einstein / Newton

📈 Microlensing Light Curve

Flux vs Source Position 3.42 A₀

📜 Relativistic Bending Proof

Einstein's General Relativity accounts for both spatial curvature ($g_{rr}$) and gravitational time dilation ($g_{tt}$), yielding exactly double Newton's predicted corpuscular angle:

θ_Einstein = 4GM / (r · c²) = 2 × θ_Newton

Confirmed during Sir Arthur Eddington's famous 1919 solar eclipse expedition, disproving classical Newtonian gravity for massless photons.

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