Question

The symmetry of the laws of nature with respect to translation in space gives rise to ……………​

Answer 1

Answer:

For each symmetry operation, there is a corresponding conservation law. Invariance under translation in time means that the law of conservation of energy is valid. Such statements come from Noether's theorem, one of the most amazing and useful theorems in physics.

Answer 2

It gives rise to linear momentum.

• The conservation of momentum is linked to the homogeneity of space, which means that momentum cannot be maintained if the space in which motion is seen varies in any way.
• The law refers to uniformity of natural rules with regard to translation in space. It is based on spatial isotropy. If the law of energy keeping is invariant during temporal translation, it is true.
• Noether's theorem, one of physics' most astounding and valuable theorems, contains such claims. Symmetries limit the kind of new physical rules that can be created.