Planck Density

The Planck density is the unit of density, denoted by ρP, in the system of natural units known as Planck units.

≈ 5.1 × 1096 kg/m3

where:

mP is the Planck mass
lP is the Planck length
c is the speed of light in a vacuum
is the reduced Planck constant
G is the gravitational constant

This is a unit which is very large, about equivalent to 1023 solar masses squeezed into the space of a single atomic nucleus. At one unit of Planck time after the Big Bang, the mass density of the universe is thought to have been approximately one unit of Planck density.

Planck's natural units
Base Planck units
  • Planck time
  • Planck length
  • Planck mass
  • Planck charge
  • Planck temperature
Derived Planck units
  • Planck energy
  • Planck force
  • Planck power
  • Planck density
  • Planck angular frequency
  • Planck pressure
  • Planck current
  • Planck voltage
  • Planck impedance
  • Planck momentum
  • Planck volume