Asymmetry

Asymmetry is the absence of, or a violation of, symmetry (the property of an object being invariant to a transformation, such as reflection).

[2] The absence of or violation of symmetry that are either expected or desired can have important consequences for a system.

Asymmetry is an important and widespread trait, having evolved numerous times in many organisms and at many levels of organisation (ranging from individual cells, through organs, to entire body-shapes).

Benefits of asymmetry sometimes have to do with improved spatial arrangements, such as the left human lung being smaller, and having one fewer lobes than the right lung to make room for the asymmetrical heart.

In other examples, division of function between the right and left half may have been beneficial and has driven the asymmetry to become stronger.

[3] Nature also provides several examples of handedness in traits that are usually symmetric.

The following are examples of animals with obvious left-right asymmetries: Since birth defects and injuries are likely to indicate poor health of the organism, defects resulting in asymmetry often put an animal at a disadvantage when it comes to finding a mate.

For example, a greater degree of facial symmetry is seen as more attractive in humans, especially in the context of mate selection.

In general, there is a correlation between symmetry and fitness-related traits such as growth rate, fecundity and survivability for many species.

This means that, through sexual selection, individuals with greater symmetry (and therefore fitness) tend to be preferred as mates, as they are more likely to produce healthy offspring.

[10] Pre-modern architectural styles tended to place an emphasis on symmetry, except where extreme site conditions or historical developments lead away from this classical ideal.

To the contrary, modernist and postmodern architects became much more free to use asymmetry as a design element.

While most bridges employ a symmetrical form due to intrinsic simplicities of design, analysis and fabrication and economical use of materials, a number of modern bridges have deliberately departed from this, either in response to site-specific considerations or to create a dramatic design statement.

Some asymmetrical structures In fire-resistance rated wall assemblies, used in passive fire protection, including, but not limited to, high-voltage transformer fire barriers, asymmetry is a crucial aspect of design.

In practical use, the lowest result achieved is the one that turns up in certification listings.

Violations of symmetry therefore present theoretical and experimental puzzles that lead to a deeper understanding of nature.

Asymmetries in experimental measurements also provide powerful handles that are often relatively free from background or systematic uncertainties.

Until the 1950s, it was believed that fundamental physics was left-right symmetric; i.e., that interactions were invariant under parity.

In 1956–1957 Chien-Shiung Wu, E. Ambler, R. W. Hayward, D. D. Hoppes, and R. P. Hudson found a clear violation of parity conservation in the beta decay of cobalt-60.

[citation needed] Simultaneously, R. L. Garwin, Leon Lederman, and R. Weinrich modified an existing cyclotron experiment and immediately verified parity violation.

For example, CP transforms a left-handed neutrino into a right-handed antineutrino.

In 1964, however, James Cronin and Val Fitch provided clear evidence that CP symmetry was also violated in an experiment with neutral kaons.

CP violation is one of the necessary conditions for the generation of a baryon asymmetry in the early universe.

CPT symmetry must be preserved in any Lorentz invariant local quantum field theory with a Hermitian Hamiltonian.

The baryons (i.e., the protons and neutrons and the atoms that they comprise) observed so far in the universe are overwhelmingly matter as opposed to anti-matter.

The concept was first introduced by Werner Heisenberg in nuclear physics based on the observations that the masses of the neutron and the proton are almost identical and that the strength of the strong interaction between any pair of nucleons is the same, independent of whether they are protons or neutrons.

Isospin symmetry in the strong interactions can be considered as a subset of a larger flavor symmetry group, in which the strong interactions are invariant under interchange of different types of quarks.

Because this violation is only a small effect in most processes that involve the strong interactions, isospin symmetry remains a useful calculational tool, and its violation introduces corrections to the isospin-symmetric results.

Because the weak interactions violate parity, collider processes that can involve the weak interactions typically exhibit asymmetries in the distributions of the final-state particles.

They can thus be used as a sensitive measurement of differences in interaction strength and/or to distinguish a small asymmetric signal from a large but symmetric background.

Male fiddler crab , Uca pugnax