When I posted this question I was thinking more about the possibility of If at this moment there is already 50% control over the network, with some obscure government agency owning the majority of ASICs. I'm just imagining a scary scenario, not being a real thing.
I also still do not understood the real effects on the calculation of the difficulty when occurs an increase or decrease in hashpower on the whole network.
Assuming that 50% of hashpower is exactly 50% of the difficulty or have any variation For example, with 50% more hashpower we have only 10% more on difficult or have an equivalence of 50% == 50% ?
Assuming that an increase in hashpower might (this is a question) rise exponentially the difficulty then when removing this extra hashpower no others will be able to meet the demand to complete a block, even in years ?
Thank you for the patience.
No. There is a perfect linear relationship between difficulty and hashrate.
If 50% of hashpower shut off (for whatever reason) then the time between blocks would rise to ~20 minutes and 0-4 weeks later the network would adjust and the time between blocks would fall back to 10 minutes.
If 75% of hashpower shut off (for whatever reason) then the time between blocks would rise to ~40 minutes and 0-16 weeks later the network would adjust and the time between blocks would fall back to 10 minutes.
If 90% of hashpower shut off (for whatever reason) then the time between blocks would rise to ~ 100 minutes and 0-20 weeks later the network would adjust and the time between blocks would fall to 25 minutes* and then 16 weeks later it would adjust again back to 10 minutes.
If 99% of hashpower shut off (for whatever reason) then the time between blocks would rise to ~1000 minutes and 0-200 weeks later the network would adjust and the time between blocks would fall to 250 minutes* and then 50 weeks later it would adjust again to ~60 minutes and then 12 weeks later it would adjust again to ~15 minutes ....
On edit: * network difficulty adjustment capped at 1/4 and 4x. Of course rules can be changed and is Bitcoin is "stuck" there will be significant consenus to adjust the difficulty either as a one time change or a more adaptive difficulty algorithm.
There is no probable scenario where even a malicious removal of hashpower would result in block time taking a year or more. 1 year = 87,600 minutes. 10 minute target = 8,760x larger. 1/8,760 = 0.014%. It would require 99.986% of the network to shutdown overnight. Since no single entity owns 99.986% of the network, hell no contininent has that much we likely are talking an extinction level event (i.e. 99.986% of nodes go offline because they no longer exist due to an asteroid impact).