Calculadora de Idade do Universo

Estime a idade do universo com base nos parâmetros cosmológicos.

km/s/Mpc

Hubble Time

440,857,142,857,142,850.00 s

Hubble Time (Gyr)13.9689 Gyr

Hubble Time vs Hubble Constant (H0)

Formula

## Estimating the Age of the Universe The simplest age estimate comes from inverting the Hubble constant. ### Formula **t_H = 1 / H0** Converting H0 from km/s/Mpc to 1/s requires dividing by 3.086 x 10¹⁹ km/Mpc. The result, about 14 Gyr for H0 = 70, is close to the accepted age of 13.8 Gyr because dark-energy acceleration partially compensates for the deceleration of matter.

Exemplo Resolvido

H0 = 70 km/s/Mpc.

  1. 01t_H = 1 / H0 in SI
  2. 02H0 in 1/s = 70 / 3.086e19 = 2.269e-18 s⁻¹
  3. 03t_H = 1 / 2.269e-18 = 4.407e17 s
  4. 04t_H = 4.407e17 / 3.156e16 = 13.96 Gyr

Perguntas Frequentes

Is the Hubble time the true age of the universe?

Not exactly. The Hubble time is an approximation. The true age depends on the full expansion history, including matter and dark energy contributions.

Why is the Hubble time close to the accepted age?

The decelerating effect of matter and the accelerating effect of dark energy roughly cancel, making 1/H0 a surprisingly good approximation.

What is the currently accepted age?

About 13.787 billion years, based on Planck satellite measurements of the cosmic microwave background.

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