Cosmological Redshift

Convert redshift (z) into lookback time and the age of the universe

MM POP SCIENCE
Calculator
z
Lookback Time
Age of Universe
Calculation Metric
ΛCDM Model
Based on Planck 2018 parameters

Methodology
Calculations are performed by numerically integrating the Friedmann equation for a flat universe.
  • Hubble Constant (H₀): 67.4 km/s/Mpc
  • Matter Density (Ω_M): 0.315
  • Dark Energy (Ω_Λ): 0.685

Cosmological Redshift: The Stretching of the Universe

1. Light as a Cosmic Ruler

When we look at distant galaxies, the light they emit arrives at our telescopes with a longer wavelength than it started with. In the visible spectrum, longer wavelengths are redder—hence the name "Redshift." Unlike the Doppler effect (which is caused by objects moving through space), cosmological redshift is caused by space itself expanding while the light is in transit.

2. Why It Matters

The redshift value ($z$) is a direct measure of how much the universe has grown since that light was emitted. For example, at a redshift of $z=1$, the universe was half its current size when the light began its journey. By measuring redshift, astronomers can map the history of the universe's expansion over billions of years.

3. Lookback Time: A Window into the Past

Because the speed of light is finite, looking at high-redshift objects is literally looking back in time. This calculator uses the ΛCDM Model (the standard model of cosmology) to turn that color shift into a time value. When you see a high redshift, you are seeing the universe as it was when it was much younger, hotter, and denser.

4. The Hubble Constant

The rate at which the universe expands is governed by the Hubble Constant ($H_0$). Even though we call it a constant, its exact value is one of the biggest mysteries in modern physics. Different measurement methods give slightly different results, a problem scientists call the "Hubble Tension." This calculator uses the latest data from the Planck satellite to provide its estimates.