Spacetime Gravity Simulator

Newton vs. Einstein

Click on the grid to place a massive body.

One toy gravity engine, two visual views

Read the explanation

This page offers a curved grid and Newtonian force arrows, but both views use the same toy particle engine. Each added source mass has value one hundred, and the simulation sets its gravitational constant to one. A particle at distance ten receives acceleration magnitude one: one hundred divided by ten squared. At distance twenty the magnitude is one quarter. The animated arrows use the same scale, so doubling separation makes the arrow four times shorter. The Einstein-labelled view changes the grid height using negative mass times zero point one divided by distance plus two. For mass one hundred, a grid point at distance eight drops by one unit. At distance eighteen it drops by one half unit. The drawn profile follows that source formula, with a common vertical scale. This is a visual analogy. The source does not solve Einstein field equations or relativistic geodesics, so a curved sheet should not be mistaken for a full general relativity simulation. Each step updates velocity by force times zero point one, then position by the updated velocity times zero point one. This discrete update produces visible trajectories, with accuracy determined by that step and the chosen initial conditions. Compare Newton arrows and the curved grid, place masses or particles with the native controls, and export a snapshot. The video explains the recorded formulas; it is not a physical calibration or proof of every pointer interaction.

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