Symmetry (from Greek συμμετρία symmetria "agreement in dimensions, due proportion, arrangement") in everyday language refers to a sense of harmonious and beautiful proportion and balance. In mathematics, "symmetry" has a more precise definition, and is usually used to refer to an object that is invariant under some transformations; including translation, reflection, rotation or scaling. Although these two meanings of "symmetry" can sometimes be told apart, they are intricately related, and hence are discussed together in this article.
Mathematical symmetry may be observed with respect to the passage of time; as a spatial relationship; through geometric transformations; through other kinds of functional transformations; and as an aspect of abstract objects, including theoretic models, language, and music.This article describes symmetry from three perspectives: in mathematics, including geometry, the most familiar type of symmetry for many people; in science and nature; and in the arts, covering architecture, art and music.
The opposite of symmetry is asymmetry, which refers to the absence or a violation of symmetry.
In Chapter 6 of the Antigravitation Engine Site, the symmetry breaking in vacuum is studied as follows.
11. The symmetry breaking in vacuum
It can be known from Section 8 of this chapter that everywhere in vacuum there are non-present-time foggoids, whose gfm ball particles have a dominant...
Starting at the microscopic entities we observe in our immediate neighborhood outward, then tracing mass-energy evolution from the universal horizon inward, can we determine where processes of both coincide in intermediate space?
Our own Planck regions, quarks, protons, atoms, planets, stars...
The spacetime geometry outside a black hole may be transformable through the event horizon as the black hole internal geometry, and conversely.
Consider Hawking radiation with respect to black hole entropy. While one quantum escapes to universal infinity, the other approaches the...
Symmetry "breaking"
Greetings !
I'd like to ask and possibly discuss questions
about symmetry :
1. I heard that there is a 2% lacking symmetry in
weak nuclear force reactions. Does this
mean energy-conservation (and other physical laws)
are violated ?!
2. Does the HUP possibly...