And what if I don't have enough inbound liquidity and I disabled on-the-fly channel creation? Would I be unable to receive payments?

A pizza is a static physical object that, if divided too much, becomes so small that it loses its "function" and can't be shared among people.

Bitcoin, on the other hand, can grow in value and, if divided, the smaller units can still be as useful as the bigger ones. We could reach a point where we Bitcoin keeps growing in value and we keep dividing, creating a virtual infinite supply. I say virtual because the max number of BTC will always be the same, but the division of it creates valuable units that retain their original function.

Yes, but on a long enough timeframe this could become a problem, because theoretically speaking, we could lose all the Bitcoin in circulation with no way to retrieve them

In that case, could we have virtually infinite supply?

Is it possible to divide it indefinitely into smaller and smaller units?

Fair enough.

Considering this, is it possible that in the future we might see two different societies or economies? One that regularly uses Bitcoin and one that is under the control of a central entity.

I try to survive. If Bitcoin hit 1 mln in this timespan, there would be chaos.

Thanks!