# Simulating light bending (gravitational lensing) using a discrete grid saturation model (DITM)

Hi r/Simulated! I wanted to share a project I've been working on that approaches gravity from a fluid-dynamics perspective rather than pure geometry.

### 🌌 The Concept
Instead of using the standard curved spacetime equations (General Relativity), I developed an engine that treats space as a discrete medium called **"The Bulk"**. 

In this model, mass creates a **saturation gradient** in the grid. Light doesn't follow a geometric curve; it simply refracts as it travels through different grid densities, much like light passing through a lens or water.

### 🚀 Results
The simulation is surprisingly consistent with real-world observations:
* It successfully reproduces the **1.75 arcsec** solar deflection (the classic Einstein test).
* It maintains numerical stability across different scales, from Earth-sized masses to Solar masses.

### 🛠 Technical Details
* **Language:** Python
* **Core Libraries:** `NumPy` for the vectorization, `Matplotlib` for the visualization.
* **Method:** Numerical step-by-step ray tracing. The engine integrates the deflection angle by calculating the gradient of the refractive index derived from the grid's saturation factor ($S$).

### 📂 Open Source
I’m fascinated by how close a simple refractive grid can get to GR predictions. I’ve released the code under the **MIT License** for anyone who wants to stress-test the math or the implementation.

**GitHub Repo:** [https://github.com/daniek2v1/Gravity-Saturation-Model]

I'd love to hear your thoughts on the simulation's logic or any ideas on how to better visualize the "Bulk" density!

[OC] Simulating light bending (gravitational lensing) using a discrete grid saturation model (DITM)