Combining SR and GR time dilation

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The discussion focuses on how to combine time dilation effects from gravitational fields and special relativity for a moving particle. Lambda 1 represents gravitational time dilation, while Lambda 2 represents time dilation due to motion. The consensus is that these two effects should be combined multiplicatively. This approach allows for a more accurate representation of time dilation in scenarios involving both gravity and relative motion. The conversation concludes with a confirmation of this method.
taylog1
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Just seeking a bit of guidance if I may ?

If Lambda 1 is the time dilation caused by a gravitational field (ie proper time outside field/proper time inside field for static observers), and Lambda 2 is the usual time dilation under special relativity for a moving body (both lambda's >= 1), how should I combine them for a moving particle in a gravitational field, is is additive, multiplicative or some other combo ?

Regards

Gareth
 
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Welcome to PF!

Hi Gareth! Welcome to PF! :wink:
taylog1 said:
If Lambda 1 is the time dilation caused by a gravitational field (ie proper time outside field/proper time inside field for static observers), and Lambda 2 is the usual time dilation under special relativity for a moving body (both lambda's >= 1), how should I combine them for a moving particle in a gravitational field, is is additive, multiplicative or some other combo ?

Multiplicative. :smile:
 
Thanks very much

Gareth
 

Thread 'Am I understanding the concept of proper frame of reference?'

MOVING CLOCKS In this section, we show that clocks moving at high speeds run slowly. We construct a clock, called a light clock, using a stick of proper lenght ##L_0##, and two mirrors. The two mirrors face each other, and a pulse of light bounces back and forth betweem them. Each time the light pulse strikes one of the mirrors, say the lower mirror, the clock is said to tick. Between successive ticks the light pulse travels a distance ##2L_0## in the proper reference of frame of the clock...
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