The Permissible Universe

A map of everything that can exist

An interactive mass-radius diagram showing ~200 cosmic objects from quarks to supermassive black holes, positioned according to fundamental physical limits. Click any object or boundary line to learn more.

AstrophysicsInteractiveD3.js

This visualiser maps 200+ cosmic objects and is best experienced on a larger screen.

The Four Limits

The universe permits only certain combinations of mass and size. These four boundaries carve out the "permissible" zone where matter, energy, and structure can exist.

Where They Meet

The Schwarzschild and Compton lines intersect at a single point: the Planck mass (~22 micrograms). This is the only mass where an object could be simultaneously a black hole and a quantum particle. It marks the boundary where general relativity and quantum mechanics must somehow merge - the domain of quantum gravity, still not fully understood.

Planck Mass
2.18 x 10⁻⁵ g
Planck Length
1.62 x 10⁻³³ cm
Planck Time
5.39 x 10⁻⁴⁴ s

The Big Questions

The Permissible Universe isn't just a map - it's a window into the deepest mysteries of physics.