ELI5: Explain Like I'm 5

Hamiltonian constraint

Ok kiddo, let me explain what a Hamiltonian Constraint is in a way that's easy for you to understand.

So first, do you remember learning about energy and how it can't be created or destroyed, only changed from one form to another? Well, that same energy concept is what a Hamiltonian Constraint is all about.

The Hamiltonian Constraint is a fancy term used in physics to describe how all the different parts of a system's energy are related to each other. Imagine you have a toy car with a spring inside it. When you wind up the spring, energy is stored in it. When you let go of the car, the energy in the spring is released and makes the car move.

Now imagine you have a much bigger system, like a star or a galaxy. These have lots of different parts, like planets, asteroids, and gases, and they all have their own energy. But just like with the toy car, all the different energies in the system must add up to a certain amount, and that's what the Hamiltonian Constraint tells us.

It's like a big energy equation that physicists use to help them understand how a system works. This equation lets them see how all the different parts of the system are connected to each other, and how they change over time.

So, that's basically what a Hamiltonian Constraint is. It's a way for physicists to keep track of all the energy in a system, and make sure it all adds up correctly. Pretty cool, huh?