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Because of [[quantum mechanics|quantum-mechanical]] phenomena involving Hawking Radiation, discussed later in the article, black holes must emit radiation and thus are a logical contradiction at the microscopic level.
 
Because of [[quantum mechanics|quantum-mechanical]] phenomena involving Hawking Radiation, discussed later in the article, black holes must emit radiation and thus are a logical contradiction at the microscopic level.
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Black holes are conceptually associated with "[[wormhole]]s",<ref name="nytimes.com">The prediction of the existence of wormholes, and its naming in 1957, predates the prediction and naming (1967) of a black hole.[http://www.nytimes.com/2008/04/14/science/14wheeler.html?pagewanted=print]</ref>  which never caught on with the public, perhaps due to its unattractive terminology.
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Black holes are conceptually associated with "[[wormhole]]s",<ref name="nytimes.com">The prediction of the existence of wormholes, and its naming in 1957, predates the prediction and naming (1967) of a black hole.[https://www.nytimes.com/2008/04/14/science/14wheeler.html?pagewanted=print]</ref>  which never caught on with the public, perhaps due to its unattractive terminology.
 
==Mathematical description==
 
==Mathematical description==
 
A '''black hole''' is any object that lies entirely inside its own Schwarzschild radius, given by
 
A '''black hole''' is any object that lies entirely inside its own Schwarzschild radius, given by
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Colliding black holes should produce gravitational waves, possible to detect experimentally. On 24 September 2015 the [[LIGO]] observatory made the first-ever successful observation of such event.<ref name="PRL-20160211">{{cite journal |author=Abbott, B.P. |title=Observation of Gravitational Waves from a Binary Black Hole Merger |url=http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.116.061102 |journal=[[Phys. Rev. Lett.]] |volume=116 |pages=061102 |year=2016 |doi=10.1103/PhysRevLett.116.061102 |display-authors=etal|arxiv = 1602.03837 |bibcode = 2016PhRvL.116f1102A }}</ref><ref name="NYT-20160211-db">{{cite news |last=Overbye |first=Dennis |authorlink=Dennis Overbye |title=Physicists Detect Gravitational Waves, Proving Einstein Right |url=http://www.nytimes.com/2016/02/12/science/ligo-gravitational-waves-black-holes-einstein.html |date=11 February 2016 |work=[[New York Times]] |accessdate=11 February 2016 }}</ref> The signal was consistent with theoretical predictions. The gravitational wave signal suggests that the separation of the two holes prior to merger was just 350&nbsp;km, hence they must be small in size, leaving black holes as the most plausible interpretation.
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Colliding black holes should produce gravitational waves, possible to detect experimentally. On 24 September 2015 the [[LIGO]] observatory made the first-ever successful observation of such event.<ref name="PRL-20160211">{{cite journal |author=Abbott, B.P. |title=Observation of Gravitational Waves from a Binary Black Hole Merger |url=http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.116.061102 |journal=[[Phys. Rev. Lett.]] |volume=116 |pages=061102 |year=2016 |doi=10.1103/PhysRevLett.116.061102 |display-authors=etal|arxiv = 1602.03837 |bibcode = 2016PhRvL.116f1102A }}</ref><ref name="NYT-20160211-db">{{cite news |last=Overbye |first=Dennis |authorlink=Dennis Overbye |title=Physicists Detect Gravitational Waves, Proving Einstein Right |url=https://www.nytimes.com/2016/02/12/science/ligo-gravitational-waves-black-holes-einstein.html |date=11 February 2016 |work=[[New York Times]] |accessdate=11 February 2016 }}</ref> The signal was consistent with theoretical predictions. The gravitational wave signal suggests that the separation of the two holes prior to merger was just 350&nbsp;km, hence they must be small in size, leaving black holes as the most plausible interpretation.
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While matter and energy, even light, may not escape a black hole, Stephen Hawking has shown that when described by quantum mechanics, they should emit [[Hawking radiation]], which absent of an influx of mass-energy would lead to the evaporation of the black hole in a burst of gamma rays. This radiation may be possible to observe. However all results obtained to date remain unverified and debatable.<ref name="Milanoguys">{{cite journal|title=Hawking radiation from ultrashort laser pulse filaments |first1=F. |last1=Belgiorno |first2=S. L. |last2=Cacciatori |first3=M. |last3=Clerici |first4=V. |last4=Gorini |first5=G. |last5=Ortenzi |first6=L. |last6=Rizzi |first7=E. |last7=Rubino |first8=V. G. |last8=Sala |first9=D. |last9=Faccio |arxiv=1009.4634 |doi=10.1103/PhysRevLett.105.203901 |date=2010 |journal=Phys. Rev. Lett. |volume=105 |page=203901}}</ref><ref>{{cite news|title=Ultrafast Laser Pulse Makes Desktop Black Hole Glow|newspaper=[[Wired (magazine)|Wired]]|date=September 29, 2010|first=Lisa|last=Grossman|url=http://www.wired.com/wiredscience/2010/09/hawking-radiation-in-the-lab/|accessdate=April 30, 2012}}</ref>
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While matter and energy, even light, may not escape a black hole, Stephen Hawking has shown that when described by quantum mechanics, they should emit [[Hawking radiation]], which absent of an influx of mass-energy would lead to the evaporation of the black hole in a burst of gamma rays. This radiation may be possible to observe. However all results obtained to date remain unverified and debatable.<ref name="Milanoguys">{{cite journal|title=Hawking radiation from ultrashort laser pulse filaments |first1=F. |last1=Belgiorno |first2=S. L. |last2=Cacciatori |first3=M. |last3=Clerici |first4=V. |last4=Gorini |first5=G. |last5=Ortenzi |first6=L. |last6=Rizzi |first7=E. |last7=Rubino |first8=V. G. |last8=Sala |first9=D. |last9=Faccio |arxiv=1009.4634 |doi=10.1103/PhysRevLett.105.203901 |date=2010 |journal=Phys. Rev. Lett. |volume=105 |page=203901}}</ref><ref>{{cite news|title=Ultrafast Laser Pulse Makes Desktop Black Hole Glow|newspaper=[[Wired (magazine)|Wired]]|date=September 29, 2010|first=Lisa|last=Grossman|url=https://www.wired.com/wiredscience/2010/09/hawking-radiation-in-the-lab/|accessdate=April 30, 2012}}</ref>
    
==History of the idea==
 
==History of the idea==
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