This example shows how a completely symmetrical system with symmetrical initial position (on top of the hill) there is clearly an asymmetric stable final state. At the same violation of the symmetric state and is where the ball will roll, depending on the case and occur suddenly, as they say, spontaneously. Therefore, such a process of symmetry breaking is called spontaneous. Back to the particles and fields. In their interactions may also occur the potential energy. The value of the potential energy is conventionally described by the position of the ball in the hollow. In different situations, the trough can be a central mound or without it. Of course, unaccustomed to the reader is hard to imagine, what attitude can have a field to the ball in a hollow. But the abstract images are widespread in science. Here, in this picture, the ball height above the bottom of the trough describes the potential energy of the field.
The History of the Peloponnesian War: A New and Literal Version, from the Text of Arnold, Collated with Bekker, Goller, and Poppo
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