Simultaneity of Events, Do I Have it Right?

Drakkith
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Ok, I want to make sure I understand this correctly.

Let's say I'm moving at 90% c and pass a light bulb that is at rest with another light bulb in the distance. In the frame of reference of an observer equidistant from the light bulbs, they flash at the same time that I my distance from each is equal. IE when I pass the observer. The observer concludes that the light from the bulb in front of me hits me before the light from the back bulb.

Now, from my frame, I see that the front bulb emits light before the back bulb, and would not say that the lights emitted light at the same time.

Alright, now let's say that I have a light bulb that I flash when I see myself pass the observer. Occording to my frame I conclude that the light hits the front light bulb before the back one. However the observer sees my light hit both bulbs at the same time.

Is all that correct?
 
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