I think these two currencies may be related. Bitcoin can be considered a kind of "competition" to the US dollar. If Bitcoin becomes more popular, it could threaten the US dollar's position as a global currency.
In what way do you say the two could be related? Meanwhile, Bitcoin is always different from any fiat in the world, including the US dollar. And talking about competition in terms of economics or currency, almost all currencies in the world are always competing with other currencies so that each of them has no connection whatsoever even though they all circulate within the economic scope of their respective countries and in the global scope is also the same.
Regarding the US dollar not being backed by any resources, this is literally true. The dollar is not backed by gold or any other physical asset. The value of the dollar is based on people's faith in it. Of course, this factor does not guarantee that the dollar will always retain its value. However, they have helped the dollar maintain its position as a global currency for decades.
This is true, but apart from the dollar there are also many other currencies that are still trusted by the public, although not globally. This means that these other currencies are the currencies of each country they live in, while Bitcoin has also been trusted by many people as a digital currency that is very good and powerful enough to continue to be used as an investment in everyone's future.
So Bitcoin has become a very real rival to all national currencies at the moment and it is likely that it will continue to do so in the future because as the number of people who believe in Bitcoin continues to increase, it will make the use of fiat currency become less because Everyone can rely on Bitcoin in any sector of their life.