You only own 10% of the world if you can actually buy it with the money you have.
Comparing the money supply with everything you could buy with money, you will find that these numbers are a factor 1000 different.
Bootstrapping a new currency like Bitcoin where everyone got a little would have been nice. But while the imperfect distribution of the nascent bitcoin money may mean some lucky guys get 'unfairly' rich, it really doesn't mean there will be zillionaires that determine our future if bitcoin becomes de facto money.
Correct, there is no connection between the value of money and what there is in the world to buy, or what is produced for that matter. The value depends only on what value the owners of money want to hold for day to day consumption or to hold for a rainy day.