Planck density

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

\rho_P = \frac{m_P}{l_P^3} = \frac{c^5}{\hbar G^2} ≈ 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
\hbar is Dirac's 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 the Planck time, the mass density of the universe is thought to approach the 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
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