STILL HAVE NOT GOTTEN AN ANSWER FOR THIS!!

If the Hubble parameter is found to be smaller than we think it is, how would this change the measured age of the universe? justify your answer

To understand how a smaller Hubble parameter would affect the measured age of the universe, let's first clarify what the Hubble parameter represents. The Hubble parameter, denoted by H₀, describes the rate at which the universe is expanding. It is used in the Hubble's law equation: v = H₀ * D, where v is the recession velocity of a distant galaxy, and D is the comoving distance to that galaxy.

Now, if the Hubble parameter is found to be smaller than our current estimation, it implies that the rate of expansion of the universe is slower than we previously thought. Consequently, this change would have implications for the measured age of the universe. To explain this, we need to consider the concept of the age of the universe.

The age of the universe can be estimated using the inverse of the Hubble parameter, known as the Hubble time, denoted by t₀ = 1 / H₀. This estimation assumes that the universe has been expanding at a constant rate since the Big Bang. Hence, the age of the universe is calculated by dividing the current size of the observable universe by the Hubble parameter.

If the Hubble parameter is smaller, the calculated Hubble time will be larger, which means the estimated age of the universe will be higher. This is because a slower rate of expansion requires more time for galaxies to recede from each other.

In summary, if the Hubble parameter is found to be smaller than expected, it would lead to an increase in the estimated age of the universe. This is because a smaller Hubble parameter implies a slower rate of expansion, resulting in a longer time required for galaxies to move apart from one another.