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In mathematics, singularity theory studies spaces that are almost manifolds, but not quite. A string can serve as an example of a one-dimensional manifold, if one neglects its thickness. A singularity can be made by balling it up, dropping it on the floor, and flattening it.
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The technological singularity—or simply the singularity —is a hypothetical future point in time at which technological growth becomes uncontrollable and irreversible, resulting in unforeseeable consequences for human civilization.
Learn how Roger Penrose proved that black holes and singularities are generic predictions of Einstein's general theory of relativity. Explore how he used the concept of trapped surfaces and the weak energy condition to show that spacetime can end at a singularity.
The technological singularity is a theoretical scenario where technological growth becomes uncontrollable and irreversible, culminating in profound and unpredictable changes to human civilization.
Oct 27, 2021 · A singularity refers to a place in the universe where our laws of physics simply break down. These are called singularities.
Jun 24, 2024 · Learn about the singularity, a theoretical condition that could arise from the convergence of powerful new technologies, such as artificial intelligence, nanotechnology, and biotechnology. Explore different visions of the singularity, its benefits, challenges, and implications for humanity.
Singularity theory is concerned with the loci in parameter spaces on which these transitions can occur. Let π : Y → P be a map of differential manifolds, or of nonsingular algebraic varieties, which is generally (but not everywhere) submersive, so that there are singular fibers.
