Structured Infinity

A Linear Lens on Relativity — Visualizing Curved Space Differently

Concept Overview

What if the speed of light and gravitational horizons weren’t hard limits, but structured infinities? This page explores a visual model that reinterprets curved spacetime through a linear lens — compressing infinite curvature into a finite, analyzable space.

The left side shows traditional curvature, where space warps dramatically near boundaries. The right side shows the same structure, but compressed linearly to reveal hidden symmetries.

Full write-up:
Relativity Theory — GitHub

Walkthrough

Left Panel: Curved space. Grid lines warp as curvature increases. The red dashed circle shows the asymptotic boundary — where space “blows up.”

Right Panel: Linearized space. The same warped grid is compressed using a smooth function like atan(r), keeping infinity within bounds.

This lets us analyze the structure of space near boundaries without singularities — treating them as structured infinities rather than unreachable walls.