I'm having trouble with the following derivation of the 'age of the universe': http://imgur.com/gRvLWX8
The parts I'm struggling to conceptualize is what a 'universe expanding' means, and also why the derivation assumes the galaxy is receding at slightly less than the speed of light. Moreover, if this is the case, that is the galaxy is receding at slightly less than the speed of light, then what of the period of time where the light from this galaxy has not reached us yet? How would an age of the universe calculation be done in this period of time, since no light from any galaxy has reached us?
Sorry if these questions are not well formulated, I'm very new to physics and have almost no experience.
Any and all help will be much appreciated!
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