First Principles Cosmology Calculator

To use the calculator below, choose a starting radius or a gravitational acceleration g. The values have been prefilled based on an H0=72km/s Mpc. The long strands of numbers are rediculus, yes, but they're necessary to obtain an upper limit to gravitational curvature and the 2.7Kelvin in the CMBR. The radius r has been set to the somewhere very close to the Schwarzschild radius.

As r nears r_s, the factor of change approaches infinity and the temperature of Hawking radiation approaches zero. The temperature of the CMBR can be used to find the uppper and lower bound to gravitational influence.

Gravitational Acceleration (m/s²)

Radius (m) (distance of light travel)

Schwarzschild Radius (m)

Gravitational Redshift (z)

Hubble Constant (m/s/Mpc)

Total Mass (kg)

Escape Velocity (m/s)

Mass Density (kg/m³)

Hawking Radiation Temperature (K)

CMBR Temperature (K) (Blue shifted Hawking Radiation)