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## Main Question or Discussion Point

The speed of light is not constant in a non-inertial frame; the light accelerates with the acceleration of the observer in reverse direction.

Consider the following problem:

If a light pulse is created in an inertial frame at some time, t<0 (say t=-10); the light pulse moves at velocity c with respect to the observer. If the observer starts accelerating with some acceleration a1 for time interval, t=0 to t=t1, the light pulse will seem to accelerate with acceleration a1 since the observer is in non-inertial frame. At time, t=t1, the velocity of light pulse be v1 where,

v1 = c + a1*t1. If the observer stops accelerating after t=t1, the observer will now be in inertial frame.

Question: What will be the speed of light pulse for time t>t1 for the observer

A) Velocity c since the observer is in inertial frame for t>t1

B) Velocity v1 because the speed of light cannot change abruptly at t=t1 when the observer jumps from non-inertial frame into inertial frame. Remember, the speed of light didnt change suddenly at t=0 when the observer jumps from inertial frame into non-inertial frame

C) Any other option. Please explain with reason

Consider the following problem:

If a light pulse is created in an inertial frame at some time, t<0 (say t=-10); the light pulse moves at velocity c with respect to the observer. If the observer starts accelerating with some acceleration a1 for time interval, t=0 to t=t1, the light pulse will seem to accelerate with acceleration a1 since the observer is in non-inertial frame. At time, t=t1, the velocity of light pulse be v1 where,

v1 = c + a1*t1. If the observer stops accelerating after t=t1, the observer will now be in inertial frame.

Question: What will be the speed of light pulse for time t>t1 for the observer

A) Velocity c since the observer is in inertial frame for t>t1

B) Velocity v1 because the speed of light cannot change abruptly at t=t1 when the observer jumps from non-inertial frame into inertial frame. Remember, the speed of light didnt change suddenly at t=0 when the observer jumps from inertial frame into non-inertial frame

C) Any other option. Please explain with reason

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