If by "double the network," you mean "double the hashrate," then yeah. If you mean "double the number of nodes," then no.
Continuously doubling hashrate is not just plausible, it's likely. If just a fraction of the chipper's claims turn out to be true, the hashrate is going to do that & more for quite a while. Keep in mind that we're talking ASICs -- once the R&D is done, and production ramped up, the per-chip cost is nominal, as is required support circuitry. Consumer prices will reflect total profits, not per-unit profits. If by selling your chips at 1/100th the price you can sell x101 more chips, that's what you do.
If you have competition, you may be forced to sell your chips at a loss, and a substantial loss, or not be able to sell any *at all.*
As far as miners shutting down & waiting for difficulty to drop, as someone mentioned above? Not even going there.
TL;DR: Doubling hashrate? Not just possible, almost assured.