Translational invariance physics

1. What does the term translational invariance imply?
2. What is invariance in physics?
3. What is invariant in translation?
4. Is physics time invariant?

What does the term translational invariance imply?

Translational invariance implies that, at least in one direction, the object is infinite: for any given point p, the set of points with the same properties due to the translational symmetry form the infinite discrete set p + na | n ∈ Z = p + Z a.

What is invariance in physics?

In theoretical physics, an invariant is an observable of a physical system which remains unchanged under some transformation. Invariance, as a broader term, also applies to the no change of form of physical laws under a transformation, and is closer in scope to the mathematical definition.

What is invariant in translation?

Translation invariance means that the system produces exactly the same response, regardless of how its input is shifted.

Is physics time invariant?

Time translation symmetry is the law that the laws of physics are unchanged (i.e. invariant) under such a transformation. Time translation symmetry is a rigorous way to formulate the idea that the laws of physics are the same throughout history.