This question has been bothering me for a while. The title wouldn't do justice with what i asked so let me put forth the scenario.
Suppose a person lives on equator, he has a transmitter that he uses to send information to another person living far but on equator. Suppose that the direction of transmission is opposite to the earth rotation. If the person transmits the signal, then the other person should receive information in less time than what it would have actually taken as the earth revolves in opposite direction and so does the receiver.
Is the statement above true? If so, do we use this fact in our system design? ( i am doing engineering and so far i haven't considered it anywhere) and if no, then why? From what i know inertia couldn't be a factor here as inertia does not work on light (if we ignore particle nature of light for such scenario).
And lastly, if it is true then the relative speed of data transfer would be faster than speed of light?