I was riding through the coastal Peruvian desert this afternoon.  It was
unaccountably cool outside, but utterly desolate.

It seems that, even in this desert, perhaps even especially here.the
temperature of a building should be a matter of how much coupling it
chooses to have to the radiant objects in its environment --- within the
limits of their temperatures, of course.  If the outdoors ever reaches
15 degrees (or 10, or 5), you can increase the coupling of your cool
reservoir to the 15-degree objects until the cool reservoir is
arbitrarily close to that temperature, and there is no fundamental limit
on how little energy you can use or how large a cool reservoir you can
cool.  If the sun ever comes out, you can use that to heat your heat
reservoir arbitrarily hot, up to the temperature of the photosphere, and
there is also no fundamental limit on how little energy that uses, how
quickly you can do that, or how large a heat reservoir you can heat.

I'd realized this part before.  What I hadn't realized before is that
this also applies to water.  If you limit your leakage of air and water,
you only have to let out water when you want to, so you can raise crops
using only the water that is incorporated into the finished product.
You will likely have to vent to bring in oxygen or CO2 or get rid of
radon, but you can cool the exhaust air arbitrarily close to the
temperature of your cool reservoir in the process, distilling out most
of the water you'd otherwise lose.  (The dewpoint of the exhaust air
will be just above the temperature of your cool reservoir.)

So that limits water loss, subject to a minimum loss rate that depends
on your air use rate and the humidity content of air at your exhaust
temperature.  How about water gain?

Well, if the dewpoint of the outside air ever rises above the
temperature of the cool reservoir, you can distill water out of the
outside air, again in arbitrary quantities.

So how to limit water and air leakage over a wide area, for example for
growing crops?  Put a roof over it, plastic a few decimeters under the
dirt (or deeper if you want to grow trees with taproots) and
vapor-barrier walls.  If the structure is inflatable, it will be a lot
lighter.  And tearing down your inflatable plastic bubble every so often
to prevent UV-induced cracking might still be a small leak, especially
if you throw a blanket over the crops first.

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