Pauls explanation is for me very acceptable, indeed we "experience" everything later as it "happens", things that happen are transformations from one state to another, what we experience is the "difference" from the two states, so what we do is "compare" two states, for example the wave function and the particle, question rises is the wave function a movement ? No the wave function as I see it is a superposition of states of possibillities. So...we cannot "perceive" the wavefunction, observing it makes it collapse and indicates that there is a particle (moving). However this observation is made by instruments in the human scale, there also is "time" needed to bring the data to our brains (I will not talk about the timelaps needed to become "aware" of the observation)
When we go to the bigger scale of milky ways, we happily see also the past , because of that we are able to study the history of our universe, what we tend to is when we see the universe expand ,apply causal linear logic and comme out with a singulairity, this linear thinking is in my opinion not right, there is no singulairity and no big bang, for exemple :
SR is applicable for objects in space and not for the expansion of space itself.
The standard model of cosmology indicates that galaxies which have a red-shift of 1,5, this means that their wavelength of light equals 150% of the one we measure in the laboratory, move away from us at the speed of light.
Right now we know about 10.000 galaxies with a red-shift greater as 1,5. this objects are moving away from us with a recession speed faster as the speed of light.
The cosmic background radiation has covered a much longer road, its cosmological red shift is about 1100 !!!. So when the hot plasma that radiated the waves that we observe today, it is probable that it moved away from us at a speed of 50 times the speed of light. The emitted photon has his local speed of light, so it looses distance compared with its origin (like someone trying to go up on a fast moving down staircase ) her we meet the Hubble Constant .
The Hubble constant right now is 70Km/sec/Mpc (one Mpc=3.262.000light years).
In this view also the speed of light is variable and without its limit as indicated by Einstein.
keep on thinking
Wilhelmus