The future of BTC after 2140. What is the impact of the max supply cap?

Dear all,

This is one part of BTC I have an issue with. The maximum supply cap is 21 million. However, for btc to function as a global reserve currency, it requires a steady flow of inflation. Otherwise the economy cannot function and the gap between the poor and rich become larger and larger. Allow me to explain.

Lets say there are 100 people in the world and there is aproximatly 1 dollar per person in the system. If this population grows to 200, but the money in the system stays the same, then there will only be 0.5 dollar per person in the system. This will result in inequility, because those that were first, will have more than those that come later. As time goes on the gap will grow larger and larger.

In my opinion it would be better to have a max supply of 21 million in say over ~20 years and after that a fixed inflation rate of ~2% per year.

Do you think things will work differently? What are your thoughts?

Best regards,

Pashtun