Symmetry of nature w.r.t. translation in space is equivalent to which law of conservation?

Explanation

To solve the question regarding the symmetry of nature with respect to translation in space and its equivalence to a law of conservation, we can follow these steps:

### Step 1: Understand the concept of symmetry in physics
Symmetry in physics refers to a situation where a system remains unchanged under certain transformations. In this case, we are discussing translation in space, which means moving the entire system from one position to another without altering its properties.

**Hint:** Think about how moving an object in space affects its physical properties.

### Step 2: Introduce Noether's theorem
...