Expansion of Universe (The Big Bang Cosmology EP-1)


 Since the beginning of history, human beings were very interested in the origin of the universe and its future. Until the 20th century, many theologians and philosophers had presented their ideas but these were only ideas because there was no experimental evidence of any sort that would form any basis of scientific theory. Early philosophers thought that Earth is in the center while everything else (sun and moon) revolves around the Earth.

 The first of two great pieces of evidence were made by the astronomer Edwin Hubble in the year 1920. before that astronomers thought the milky way is the only galaxy in the universe. Hubble was studying a wispy object known as Nebulae. He was studying the stars in the nebula. After eventually resolving individual star in the nebulae. Hubble was able to show that there are other galaxies out there other than our galaxy, composed of hundreds of billions of stars. The galaxy Hubble was studying named as Andromeda galaxy. Andromeda is the nearest galaxy to Milky Way composed of over 100 billion stars. It is only 2.5 million light-years away from us. It is so close to as that can be seen from here at the sky.


Expansion of Universe (The Big Bang Cosmology EP-1) tangled physics
 


Hubble deduced that the galaxies are moving away from each other and form us, and that the greater their distance from us or from any other point of reference in the universe, greater is their recessional speed. If d is the distance of the galaxy from any point of reference and v is the speed of the galaxy with which it appears to be moving away from that point then according to the Hubble’s law:

v = Hd


Where H is the Hubble parameter whose value can be measured if we know the speed and the distance of the galaxy form that point in general from us. Hubble parameter has dimensions of inverse time.






Expansion of Universe (The Big Bang Cosmology EP-1) tangled physics

Hubble parameter:

in order to measure the Hubble parameter, we have to deduce the distance and the relative speed of the galaxy independently. The relative speed of the galaxy can be determined by the Doppler shift of the light coming from the galaxy. Doppler shift is the shift in the wavelength or frequency of the light due to its motion. But the distance is difficult to determine in fact Hubble’s estimates were off by a factor of 10. The best set of current data gives a value of Hubble parameter of:

Where Mpc is the ‘Mega parsec’ it is the unit for the distance at cosmic scales. One parsec is equal to 3.26 light-years. And one megaparsec is 106 pc.

1 Mpc = 106pc = 3.26 x 106 Light Years

due to uncertainties in the distances, the Hubble parameter is uncertain. Its possible range is between 65-80 km-1/Mpc.

If the universe has been expanding forever with the same rate than the inverse of the Hubble parameter H-1 will be the age of the universe and with the estimated value the age of the universe is round about 14 x 109 years. But with the range of uncertainty, the age of the universe is 12 – 15 x 109 years. But later we will see that the universe has not been expanding at a constant rate.


Problem:

1) Can you think of any a possible explanation for the expanding of the universe other than Big Bang?

2) If Hubble law can be extrapolated to very large distances, at what the distance the recessional speed becomes equal to the speed of light? 

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