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A second observer, having moved together with the clock from O to B, will argue that the black axis clock has only reached C and therefore runs slower. The reason for these apparently paradoxical statements is the different determination of the events happening synchronously at different locations.
That is, clocks at higher altitude tick faster than clocks on Earth's surface. This effect has been confirmed in many tests of general relativity, such as the Pound–Rebka experiment and Gravity Probe A. In the Hafele–Keating experiment, there was a slight increase in gravitational potential due to altitude that tended to speed the clocks ...
A clock that is stationary with respect to the observer has a world line that is vertical, and the elapsed time measured by the observer is the same as the proper time. For a clock traveling at 0.3 c , the elapsed time measured by the observer is 5.24 meters ( 1.75 × 10 −8 s ), while for a clock traveling at 0.7 c , the elapsed time measured ...
If an observer is able to track the light in a remote, distant locale which intercepts a remote, time dilated observer nearer to a more massive body, that first observer tracks that both the remote light and that remote time dilated observer have a slower time clock than other light which is coming to the first observer at c, like all other ...
where dx, dy, dz and dt c are small increments in three orthogonal spacelike coordinates x, y, z and in the coordinate time t c of the clock's position in the chosen reference frame. Equation is a fundamental and much-quoted differential equation for the relation between proper time and coordinate time, i.e. for time dilation.
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Events A, B, and C occur in different order depending on the motion of the observer. The white line represents a plane of simultaneity being moved from the past to the future. In physics , the relativity of simultaneity is the concept that distant simultaneity – whether two spatially separated events occur at the same time – is not absolute ...
n November 1954, 29-year-old Sammy Davis Jr. was driving to Hollywood when a car crash left his eye mangled beyond repair. Doubting his potential as a one-eyed entertainer, the burgeoning performer sought a solution at the same venerable institution where other misfortunate starlets had gone to fill their vacant sockets: Mager & Gougelman, a family-owned business in New York City that has ...