Bondi k-calculus is a fancy way of measuring the way things move and change around in space-time.
To understand it, let's imagine a playground where we can play with a rubber band. We can stretch it, twist it, and make shapes with it.
Now, imagine that the rubber band represents space-time, and the things moving around in it are like little bugs crawling on the rubber band. Just like how we can measure the rubber band's length when we stretch it, we can measure the way space-time changes when things move around in it. That's what Bondi k-calculus does!
You see, when things are moving very fast in space-time, the way they experience time and distance can be very different from how we experience them here on Earth. Bondi k-calculus helps us understand how time and space change for things that are moving really fast or are in really intense gravitational fields.
So, Bondi k-calculus is like a special tool that helps us measure how space-time changes when things are moving around in it super fast, like bugs on a rubber band!