[scythe]

>...but the ideal structure is not supposed to exchange air with the outside particularly because of this.

With regard to letting a house cool down at night, that's impossible. If you heat a quantity of air from 273 K to 300 K at constant volume, the pressure increases from 1 atm to 1.1 atm. That may not sound like much, but it's better expressed as a pressure differential of 10 kilonewtons per square meter, and the surface area of your house is such that it could severely damage the walls and blow the door open -- popping it like a balloon.

(The fundamental mathematical error made by those who minimize this effect is ignoring the surface area of the building)