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singularity and is
How closely we can extrapolate towards the singularity is debated — certainly no closer than the end of the Planck epoch.
Seed AI is a significant part of some theories about the technological singularity: proponents believe that the development of seed AI will rapidly yield ever-smarter intelligence ( via bootstrapping ) and thus a new era.
One consequence of this is that in standard general relativity, the universe began with a singularity, as demonstrated by Stephen Hawking and Roger Penrose in the 1960s.
Failure of the cosmic censorship hypothesis leads to the failure of determinism, because it is yet impossible to predict the behavior of space-time in the causal future of a singularity.
* It is not difficult to construct spacetimes which have naked singularities, but which are not " physically reasonable ;" the canonical example of such a spacetime is perhaps the " superextremal " < math > M <| Q |</ math > Reissner-Nordstrom solution, which contains a singularity at that is not surrounded by a horizon.
The first is, the digit " 1 " in Gurmukhi signifying the singularity of the creator.
In general relativity, a naked singularity is a gravitational singularity without an event horizon.
In a black hole, there is a region around the singularity, the event horizon, where the gravitational force of the singularity is strong enough so that light cannot escape.
A naked singularity, by contrast, is observable from the outside.
From concepts drawn of rotating black holes, it is shown that a singularity, spinning rapidly, can become a ring-shaped object.
A singularity in a manifold is a place where it is not differentiable: like a corner or a cusp or a pinching.
The Sleeping God is eventually revealed to be an entity created by an ancient, long departed culture, which was able to create a stable, naked quantum singularity.
He is the author of several books on health, artificial intelligence ( AI ), transhumanism, the technological singularity, and futurism.
Kurzweil is generally recognized as a public advocate for the futurist and transhumanist movements, due to his stances on life extension technologies, his efforts to forecast future advances in technology, and his interest in the concept of the technological singularity.
Apart from quantifiers that refer to a unique singularity, like there is and once, they necessarily imply a distributive concept: multiple similar things.
" These three are one substance, not one person ; and it is said, ' I and my Father are one ' in respect not of the singularity of number but the unity of the substance.
Hence, according to Einstein's field equations, R grew rapidly from an unimaginably hot, dense state that existed immediately following this singularity ( when R had a small, finite value ); this is the essence of the Big Bang model of the universe.

singularity and sometimes
Furthermore, by considering the limit independently on either side of P, this definition of the curvature can sometimes accommodate a singularity at P. The formula follows by verifying it for the osculating circle.
In complex analysis, a removable singularity ( sometimes called a cosmetic singularity ) of a holomorphic function is a point at which the function is undefined, but it is possible to define the function at that point in such a way that the function is regular in a neighbourhood of that point.

singularity and called
While in a non-rotating black hole the singularity occurs at a single point in the model coordinates, called a " point singularity ".
He made his reputation as a topologist, moving on to aspects of what would be called singularity theory ; he became world-famous among the wider academic community and the educated general public for one aspect of this latter interest, his work as founder of catastrophe theory ( later developed by Erik Christopher Zeeman ).
Formally, if is an open subset of the complex plane, a point of, and is a holomorphic function, then is called a removable singularity for if there exists a holomorphic function which coincides with on.
In Schwarzschild coordinates, this singularity lies on the sphere of points at a particular radius, called the Schwarzschild radius:
The model implies that after a finite time there will be a final singularity, called the " Big Rip ", in which all distances diverge to infinite values.
This relation is resonably accurate for 0. 3 < M < 0. 7 and when M = 1 it becomes ∞ which is impossible physical situation and is called Prandtl – Glauert singularity.
The singularity is also called the Prandtl – Glauert singularity, and the flow resistance is calculated to approach infinity.
The singularity at r = r < sub > s </ sub > is an illusion however ; it is an instance of what is called a coordinate singularity.
An example of a wrist flip, also called a wrist singularity, is when the path through which the robot is traveling causes the first and third axes of the robot's wrist to line up.
One reviewer called the novel " a well-written and very creative, if flawed, piece of work " and ranked it as one of the more important works of fiction to deal with the idea of a technological singularity.
2 ) The radiation of orbiting, highly blue-shifted light rays surrounding a black hole ( called a " blue sheet ") would make it impossible for anyone to pass through, and in fact might create another kind of singularity outside the hole!
Some groups, called Singularitarians, who advocate what might be defined as a peaceful ( non-violent, non-invasive, non-coercive ) cybernetic revolt known as a ' technological singularity ', argue that it is in humanity's best interests to bring about such an event, as long as it can be ensured that the event would be beneficial.
If one extrapolates the Lambda-CDM model backward from the earliest well-understood state, it quickly ( within a small fraction of a second ) reaches a singularity called the " Big Bang singularity.
With regard to phallogocentric writing, Tong argues that " male sexuality, which centers on what Cixous called the " big dick ", is ultimately boring in its pointedness and singularity.
For this reason, scholars find the singularity of the period called the English Renaissance questionable ; C. S. Lewis, a professor of Medieval and Renaissance literature at Oxford and Cambridge, famously remarked to a colleague that he had " discovered " that there was no English Renaissance, and that if there had been one, it had " no effect whatsoever ".
Most cosmologists today believe that the universe exploded into being some 13. 7 billion years ago in a ' smeared-out singularity ' called the Big Bang, meaning that space itself came into being at the moment of the big bang and has expanded ever since, creating and carrying the galaxies with it.
topologically as the cone on a fibered knot or link called the link of the singularity.

singularity and Big
Such an interaction averts the unphysical Big Bang singularity, replacing it with a cusp-like bounce at a finite minimum scale factor, before which the Universe was contracting.
The weak cosmic censorship hypothesis conjectures that no naked singularities other than the Big Bang singularity exist in the universe.
There is vast consensus among physicists that our universe started with a Big Bang from a state of gravitational singularity.
While this expansion is well-modeled by the Big Bang theory, the origins of the singularity remains one of the unsolved problems in physics.
According to general relativity, the initial state of the universe, at the beginning of the Big Bang, was a singularity.
The classical version of the Big Bang cosmological model of the universe contains a causal singularity at the start of time ( t = 0 ), where all time-like geodesics have no extensions into the past.
In a closed universe lacking the repulsive effect of dark energy, gravity eventually stops the expansion of the universe, after which it starts to contract until all matter in the observable universe collapses to a point, a final singularity termed the Big Crunch, by analogy with Big Bang.
# It replaces the Big Bang spacetime singularity with a Big Bounce
In physical cosmology, the Big Crunch is one possible scenario for the ultimate fate of the universe, in which the metric expansion of space eventually reverses and the universe recollapses, ultimately ending as a black hole singularity.
Eventually all matter would collapse into black holes, which would then coalesce producing a unified black hole or Big Crunch singularity.
Hawking's singularity theorem is for the whole universe, and works backwards-in-time: in Hawking's original formulation, it guaranteed that the Big Bang has infinite density.
But the Big Bang failing to happen is obviously impossible because the universe does exist, so perhaps in the situation where the engineers decide not to send a time machine to the Big Bang's singularity, some other cause will turn out to have been responsible.
According to the models of inflation and current observations of the accelerating universe, the concordance models of physical cosmology are converging on a consistent model where our universe was best described as a de Sitter universe at about a time seconds after the fiducial Big Bang singularity, and far into the future.
One of the main problems with the Big Bang theory is that at the moment of the Big Bang, there is a singularity of zero volume and infinite energy.
Such an interaction averts the unphysical Big Bang singularity, replacing it with a cusp-like bounce at a finite minimum scale factor, before which the Universe was contracting.
Current cosmological models maintain that 13. 7 billion years ago, the entire mass of the universe was compressed into a gravitational singularity, the so-called cosmic egg, from which it expanded to its current state ( following the Big Bang ).
In 2011, Nikodem Poplawski showed that the Einstein-Cartan theory eliminates the general-relativistic problem of the unphysical singularity at the Big Bang.
Such wormholes would only be possible if a " past singularity " ( such as a remnant of the original Big Bang singularity that remained compact ) continued erupting into the universe as time went on.

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