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The concept and the term "singularity" were popularized by Vernor Vinge – first in 1983 (in an article that claimed that once humans create intelligences greater than their own, there will be a technological and social transition similar in some sense to "the knotted space-time at the center of a black hole", [10]) and later in his 1993 essay ...
The key to understanding the character of metric evolution on approaching singularity is exactly this process of Kasner epoch alternation with flipping of powers p l, p m, p n by the rule eq. 37. The successive alternations eq. 37 with flipping of the negative power p 1 between directions l and m (Kasner epochs) continues by depletion of the ...
Singularity (system theory), in dynamical and social systems, a context in which a small change can cause a large effect Gravitational singularity, in general relativity, a point in which gravity is so intense that spacetime itself becomes ill-defined
The singularity at the center of a Schwarzschild black hole is an example of a strong singularity. Space-like singularities are a feature of non-rotating uncharged black holes as described by the Schwarzschild metric , while time-like singularities are those that occur in charged or rotating black hole exact solutions.
Even if the singularity of the Big Bang can be omitted from the mathematical models, many other singularities remain ubiquitous in the history of the universe. Biological evolutionary history shows that not only mutations that give rise to microevolution can amount to singularities, but that macroevolutionary events that affect the entire ...
Evolutionary biology is the subfield of biology that studies the evolutionary processes (natural selection, common descent, speciation) that produced the diversity of life on Earth. It is also defined as the study of the history of life forms on Earth. Evolution holds that all species are related and gradually change over generations. [1]
Evolution is the change in the heritable characteristics of biological populations over successive generations. [1] [2] It occurs when evolutionary processes such as natural selection and genetic drift act on genetic variation, resulting in certain characteristics becoming more or less common within a population over successive generations. [3]
The exponent () is called the singularity exponent, as it describes the local degree of singularity or regularity around the point . [ 21 ] The ensemble formed by all the points that share the same singularity exponent is called the singularity manifold of exponent h , and is a fractal set of fractal dimension D ( h ) : {\displaystyle D(h ...