Respect Quote by John D. Barrow
““Each of the most basic physical laws that we know of corresponds to some invariance, which in turn is equivalent to a collection of changes which form a symmetry group. The symmetry group describes all the variations that can be formed from an initial seed pattern whilst still leaving some underlying theme unchanged. Thus, for example, the conservation of energy is equivalent to the invariance of the laws of motion with respect to translations backwards or forwards in time (that is, the result of an experiment should not depend on the time at which it was carried out, all other factors being identical); the conservation of linear momentum is equivalent to the invariance of the laws of motion with respect to the position of your laboratory in space, and the conservation of angular momentum to an invariance with respect to the directional orientation of your laboratory in space.””
About This Quote
Source Lecture: Physics and Symmetry, John D. Barrow, 1995
Physical laws correspond to invariances, which form symmetry groups describing permissible transformations that leave core properties unchanged.
In simple terms: Laws stay the same because of underlying symmetries.
Recognize symmetry to understand conservation.
Themes
Mood
Type
When to use this quote
- particle physics
- engineering design
- artistic pattern creation
Key Concepts
Questions to Reflect On
- What everyday phenomena reveal hidden symmetries?
- How can symmetry guide problem solving?
Symmetry concepts can be abstract and hard to visualize.