If it is decidedly false, name one monopoly that exists without a state backing it up. I am genuinely interested because I have thought long and hard for an example, and I have never found one. It's hard enough to find a real monopoly [as oppposed to a company enjoying current market dominance], and to me, impossible to find one that exists without the help of the state.
The free market does not tend towards monopoly or oligopoly. If any one player is gaining market power and capturing a lot of consumer surplus, then competition will eventually find a route around that and supply an alternative with better value. This has been proven time and time again.
Even coming up with a situation where you need a large capital investment to get started, given a compelling enough market (which is what is created when an individual firm tends towards monopoly) then the capital formation is possible to organise.
Your solution 'change government actions' is hopelessly unworkable, this is what the original post is all about. All the while the opportunity to rent-seek is available, people with the desire to do so are going to exploit it.
The countries with the worst monopolies are those with the largest share of the income owned and distributed by the state. These monopolies harm consumers and rivals and only exist because the state is there to back them up. This goes all the way up to the very worst monopoly of them all, which is where the state is the economy, such as in soviet russia.
Reduce the size and reach of the state, and you make it impossible for rent-seeking behaviour to occur, because there is no structure to support it.