Looking at it mathematically:
The global land area is 57,000,000. mi^2 or 158916 x 10^10 square feet.
The global population is 6 billion.
Assume that people need a minimum of a 2800 cubic feet (20 x 20 x 7) feet of living space in order to live and work etc, with all the associated infrastructure for transport etc. This is a hideous underestimate. Allow a building height to reach 2 miles with 90% usable space. This gives each square foot of the Earth 10560 cubic feet of space.
This allows about 4 people to live on every square foot of Earth or 6,356,640 billion people. Near enough one million times the current population.
More reasonably we would have to say at best we could squeeze in 100, 000 times the current population because a lot of areas won’t take high rises etc.
So we could say about 635,664 billion to cover the Earth like cockroaches.
The question is really unanswerable for any number of reasons.
Firstly the "Nutrient pills made from sea life have entirely replaced food all land that could be used for farming must be used for living space " criterion. it doesn’t make sense. It would be more efficient to put the people in the sea, and se the land to grow food hydroponically. Or else place hydroponic farms on floating platforms.
That aside with multi-level hydroponic farms and nuclear power we have the ability to produce vast amounts of food anywhere, including in orbit. With this sort of technology there will never be a situation were all the available area for growing conventional food is taken up with people. It’s simply impossible because the population would literally exceed physical carrying capacity before that happened. Basically it takes less room to feed a man than for that man to live and work.
Depends on what you mean. In the real world it can never take place. The human population will peak at about 9 billion and then decline.
If you mean theoretically possible with no reference to reality, then assuming a constant doubling time of 20 years, which is about maximal for humans, we get an answer of around 150 years time.
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ote] . If all land was filled with housing and concrete and non productive dirt, we’d have massive problems related to oxygen production
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No we wouldn’t. If we removed all the plants on the planet we would decrease oxygen levels by about 1%. Not even enough to notice, much less a massive oxygen problem.