RPG physics engine or building everything together

wolfblood

I am doing attemp to build rpg with realistic world and AI.
So what i need to simulate the persons are moving from input so them not there will be anatomy simulation.
My list:
1.full range of collision types absolutely elastic and inelastic and things between them
2.dynamics in air and water so movements in fluids
3.soft and rigid body dynamics

I make an wikipedia attemp before from their index but there is many tiny things.
Can someone list me names of equations for this simulation. What am i missing to simulate? I am not looking for things like electricity and so. Thanks to all.