Can inflation which is the high demand of price over few goods or products actually controls the stability of bitcoin pumping or going down?
I think you are mistaken here, inflation in a lame mans explanation could be described as the government printing too many cash, thereby causing a lot of cash to be in circulation.
you should under the law which states that the more something is scarce, the more it is valued, so when we have too much cash in circulation, it causes the value of the money to drop and this is when the price of things goes up, so to make it more simple, we can say that high inflation is what gives birth to high cost of things, not the other way round.
Because I believed where people are facing high price over fewer goods makes it difficult for people to trade bitcoin with little or no capital! So can inflation makes the market cap of bitcoin not having a reality face of surviving?
Normally, high inflation is supposed to affect bitcoin positively, since high inflation will drive people to put their money in bitcoin so as to preserve its value and possibly increase the value later on, but the problem is this, this opportunity seems to be only available to the rich and maybe some middle class persons, those that are poor will have to live with whatever they have and can get, since they can not afford the means of investing in bitcoin.