A: In order to understand the validity of the Big Bang Theory, we would like to first understand what the red shift is. The red shift is a phenomenon wherein waveforms that move away from an observer experience an increased wavelength due to its motion relative to the observer. This is basically the Doppler’s Effect, wherein relative motion causes the frequency - and hence wavelength - to change in the observer’s perspective.
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)
Now, when it comes to space, we’re essentially capturing the visible light waves (and possibly other electromagnetic waves), and upon receiving them, we realise that these observed wavelengths are somewhat shifted towards the “red side” - i.e. the region of the electromagnetic spectrum with longer wavelengths. This implies that these stars are moving away from us naturally. This corroborates the Big Bang Theory, which states that the universe actually expanded from an initial point of high density and temperature, and then has been expanding away at a very fast rate ever since.