Time is affected by both speed and gravity. A clock will tick slower at Earth's surface where gravity is strongest vs hi

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Time Is Affected By Both Speed And Gravity A Clock Will Tick Slower At Earth S Surface Where Gravity Is Strongest Vs Hi 1 (103.94 KiB) Viewed 54 times

Time is affected by both speed and gravity. A clock will tick slower at Earth's surface where gravity is strongest vs higher up. For general relativity (GR), the frequency of a clock at earth's surface as a function of height, where wo is found at H=0: W= = wo(1+gH/c²) and special relativity (SR), the moving clock will tick slower than a stationary one: W= = wo√(1-²-72) From the lowest order term in a Taylor series expansion for SR, WSR= wo(1 2c² Change in frequency for SR and GR: AWSR wov² 2c² wog H AWGR = First order expression for the change in frequency of a clock due to H and v: v² Wo Autotal = Find an expression for the total difference due to both effects relate to a time interval (dt) on a fixed clock to the interval (dt') that would be measured taking SR and GR into account Show that by maximizing the time measured on the moving clock over a trajectory you can arrive at the Euler-Lagrange equations and that this is the equivalent of minimizing the Lagrangian. H6) 2