Has anyone calculated the carrying capacity of the earth with respect to human population

Has anyone ever calculated the maximum "carrying capacity" of human population on earth?

Have we already exceeded the maximum?

That is, if we keep the current economic and social lifestyle of individual nations.

How would you ever believe anybody who claims to have done such an artistic "calculation"?
What assumptions would you need to make to base your "calculation" on? How would you define maximum and how do you take future inventions and engineering into account? A new kind of transport for electricity or a new source for electrical power would change the game significantly.

What you call "calculation" is guesswork at best and bullshit at worst. There is no precise maximum to the number of dollar bills or humans on this earth.