This is a fascinating short video by The Atlantic and it features Dr. Demoetrios Matsakis, Chief Scientist for Time Services at the U.S. Naval Observatory. He gives a verbal and physical tour of the atomic clocks that by which smartphones and the Internet in general keep their time.
The time that ends up on your smartphone—and that synchronizes GPS, military operations, financial transactions, and internet communications—originates in a set of atomic clocks on the grounds of the U.S. Naval Observatory.
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Where Time Comes From]