Question

why are the modern democracy is indirect

Answer 1

None of the big democracies is particularly modern with respect to when they designed their systems of government. All were well pre-internet.

There is a lot of inertia in these systems, people are reluctant to risk radical change, except overthrowing dictators.

Also, in a big country or state, government deals with a lot of complex issues and most voters don’t have the time or inclination to keep up. We elect full-time representatives and pay their staffs so that they can make good decisions on policies.

Answer 2

Indirect democracy allows citizens to vote for representative who them can create the law of government on their behalf. it's a very effective way to make law while at the same thing same time being responsive to the people thought the election of representative.

I hope my answer help you otherwise sorry