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Grøn states that the resolution of the paradox stems from the impossibility of synchronizing clocks in a rotating reference frame. [16] If observers on the rotating circumference try to synchronise their clocks around the circumference to establish disc time, there is a time difference between the two end points where they meet.
The implications of the Ehrenfest theorem for systems with classically chaotic dynamics are discussed at Scholarpedia article Ehrenfest time and chaos. Due to exponential instability of classical trajectories the Ehrenfest time, on which there is a complete correspondence between quantum and classical evolution, is shown to be logarithmically ...
Paul Ehrenfest was born on 18 January 1880 in Vienna to Jewish parents, [3] who were originally from Loštice in Moravia (now part of the Czech Republic). His parents, Sigmund Ehrenfest and Johanna Jellinek, managed a grocery store. Although the family was not overly religious, Paul studied Hebrew and Jewish history. Later, he always emphasized ...
Time dilation is the difference in elapsed time as measured by two clocks, either because of a relative velocity between them (special relativity), or a difference in gravitational potential between their locations (general relativity).
Einstein synchronisation (or Poincaré–Einstein synchronisation) is a convention for synchronising clocks at different places by means of signal exchanges. This synchronisation method was used by telegraphers in the middle 19th century, [citation needed] but was popularized by Henri Poincaré and Albert Einstein, who applied it to light signals and recognized its fundamental role in ...
Navigational signals from GPS satellites orbiting at 20 000 km altitude are perceived blueshifted by approximately 0.5 ppb or 5 × 10 −10, [10] corresponding to a (negligible) increase of less than 1 Hz in the frequency of a 1.5 GHz GPS radio signal (however, the accompanying gravitational time dilation affecting the atomic clock in the ...
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