Search results
Results From The WOW.Com Content Network
The Big Bang singularity and the typical singularity inside a non-rotating, uncharged Schwarzschild black hole are spacelike. Timelike singularities: These are singularities that can be avoided by an observer because they are not necessarily in the future of all events. An observer might be able to move around a timelike singularity.
It says that the propagation of singularities follows the bicharacteristic flow of the principal symbol of . The theorem appeared 1972 in a work on Fourier integral operators by Johannes Jisse Duistermaat and Lars Hörmander and since then there have been many generalizations which are known under the name propagation of singularities.
He may have been largely responsible for applying the term singularity theory to the area including the input from algebraic geometry, as well as that flowing from the work of Whitney, Thom and other authors. He wrote in terms making clear his distaste for the too-publicised emphasis on a small part of the territory.
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.
A coordinate singularity occurs when an apparent singularity or discontinuity occurs in one coordinate frame, which can be removed by choosing a different frame. An example of this is the apparent singularity at the 90 degree latitude in spherical coordinates. An object moving due north (for example, along the line 0 degrees longitude) on the ...
For more complicated singularities, such as x 2 = y m z n which is singular along x = yz =0, blowing up the worst singularity at the origin produces the singularities x 2 = y m+n−2 z n and x 2 = y m z m+n−2 which are worse than the original singularity if m and n are both at least 3.
System relatedness: the effects of a singularity are characteristic of the system. Uniqueness: The nature of a singularity does not arise from the scale of the cause, so much as of its qualitative nature. Irreversibility: Events at a singularity commonly are irreversible; one cannot un-crack a glass with the same force that cracked it.
Since the physical behavior of singularities is unknown, if singularities can be observed from the rest of spacetime, causality may break down, and physics may lose its predictive power. The issue cannot be avoided, since according to the Penrose–Hawking singularity theorems, singularities are inevitable in physically reasonable situations.