A naked singularity is something that should be a black hole, but it’s neither black nor a hole. If they exist, they’ll rewrite physics as we know it.
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Sources:
https://io9.gizmodo.com/5825098/whats-so-scandalous-about-a-naked-singularity
http://www.theory.caltech.edu/people/preskill/new_naked_bet.html
http://www.theory.caltech.edu/people/preskill/nyt_bet_story.html
https://blogs.scientificamerican.com/critical-opalescence/what-would-it-be-like-to-fall-into-a-naked-singularity-guest-post/
http://www.nytimes.com/1991/03/10/us/computer-defies-einstein-s-theory.html
https://www.newscientist.com/article/mg12917604.300-science-naked-singularities-pose-problems-for-einsteins-theory/
https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.66.994
http://www.nytimes.com/1997/02/16/weekinreview/what-a-physicist-finds-obscene.html
http://www.pas.rochester.edu/~tobin/documents/kip-in-discover-2007-11.pdf
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Images:
https://commons.wikimedia.org/wiki/File:Black_Hole_in_the_universe.jpg
https://www.nasa.gov/mission_pages/nustar/multimedia/pia16695.html
https://www.nasa.gov/sites/default/files/images/467382main_dn12679-1_600.jpg
https://apod.nasa.gov/apod/ap141026.html
https://apod.nasa.gov/apod/ap041226.html
https://www.nasa.gov/audience/forstudents/k-4/stories/nasa-knows/what-is-a-black-hole-k4.html
https://www.nasa.gov/centers/armstrong/multimedia/imagegallery/2017_achievements/ACD17-0168-12.html