wow i dont know how this is hard to understand. but...
Ill try to make this as simple as possble.
everything has a volume, a glass of water, intercoolers and pipes.
if you get thirsty and want a glasss of water, you grab your glass, you go to the sink or what ever, and start filling you glass but, it doent go *poof* full, it takes a certin amount of time. sometimes when you are really thirsty, like right after a run, it seems to take too long, and seems like its forver, and if its a really large glass like one of those 64oz suckers from the 7-11 it really takes a long time.
well the same thing happens when a turbo has to prssureize the air in the intake. and it takes longer the larger the volume is inside all those pipes, intercooler plenum ect. nothing happens instantly.
if a car is sitting still but running it has no pressure in the pipes (it does but if got into that you would be really confused.) anyhow it has no pressure in it for this conversation.. if your max boost is 15psi thats about twice as much air as 0 psi give or take. well just immagine 0psi is an empty glass of water, and 15psi is a full glass of water.
now if all that kinda made some form of sence, then immagine a really simple turbo setup, one where the turbo outlet is directly connected to the trottle body, so there is no pipes at all and no intercooler. thats very little internal volume, kinda like a shot glass. on another car you have one of those massive 1000hp intercoolers and 4" intercooler pipeing running through the inner fender, and around the bumper into the intercooler and back around the other side into the trottle body and one of those huge ass aftermarket plenums with large super long runners, thats a lot more space to fill up with air, kinda like the 64oz 7-11 cup... i dont know how much more simple i can make it...