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The monodromy theory of differential equations, in the complex domain, around singularities, does however come into relation with the geometric theory. Roughly speaking, monodromy studies the way a covering map can degenerate, while singularity theory studies the way a manifold can degenerate; and these fields are linked.
[98] [99] Because AI is a major factor in singularity risk, a number of organizations pursue a technical theory of aligning AI goal-systems with human values, including the Future of Humanity Institute (until 2024), the Machine Intelligence Research Institute, [96] the Center for Human-Compatible Artificial Intelligence, and the Future of Life ...
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 currently dominant theory of the origin of our universe postulates a physical singularity (specifically the Big Bang). It is suggested to have dispersed plasma uniformly throughout space, and to have cooled by increasing expansion, till atoms formed; subsequently, very small (singular) fluctuations in the uniform density created self ...
The Singularity Is Near: When Humans Transcend Biology is a 2005 non-fiction book about artificial intelligence and the future of humanity by inventor and futurist Ray Kurzweil. A sequel book, The Singularity Is Nearer , was released on June 25, 2024.
The Penrose–Hawking singularity theorems define a singularity to have geodesics that cannot be extended in a smooth manner. [6] The termination of such a geodesic is considered to be the singularity. Modern theory asserts that the initial state of the universe, at the beginning of the Big Bang, was a singularity.
Ray Kurzweil predicts humans and AI will merge by 2045, boosting intelligence a millionfold with nanobots, bringing both hope and challenges for the future.
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.