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Consider $v=H_{0}d$.
- $v$ is a velocity (distance over time)
- $d$ is a distance
- Hence, $H_{0}$ is an inverse of time.
Thus, $\frac{1}{H_{0}}$ represents the age of the universe! As it represents how long its been since galaxies started moving away, i.e. when the Big Bang occurred!!?
- Please remember to change the units. $v$ is usually in $kms^{-1}$, while $d$ is in $Mpc$. So, you need to convert your values before doing units cancellation.\
- If you answer is around 13.7 billion years, you're probably good.
Something about CMB
Note that back then, the blackbody radiation was like very hot. But then as the universe expanded and cooled, these photons lost energy and fell into the microwave spectrum. This results in the cosmic microwave background!
