How would that help? Timezones help to coordinate hours with day and night. If you know something happended somewhere at 3a.m. you can assume it was night (unless it was a polar day). Without timezones the task becomes much more difficult.
I don't know. I think that we're at a point where knowing the absolute time is more important to knowing the relative time (relative to daylight).
If I'm in New York following the nuclear crisis in Japan, it's probably more important for me to know that the next news conference is two hours from now than that it's in "the morning" there. If I'm planning a meeting I certainly want to know the absolute time it's occurring, and only care about the relative time depending on how courteous I am.
I'm not saying we should stop caring about working hours and daylight hours in various places. I'm just saying that those vary wildly and are dynamic, and we should reflect that in our concept of "time".
I disagree. If I make an appointment for a meeting I'm flying to, 5 timezones away, it's better to be able to say 'let's meet at 9am' rather than having to look up what time '2 hours after getting out of bed' is in that particular location. Similarly, if I read news about Japan that says 'an explosion occurred at 10pm' I prefer to know that that means 'after the regular working day' instead of having to look up when the working day ends there.
Maybe the ideal solution would involve specifying all times in two timezones (local and GMT), side-by-side? Practically, I'm now interested in adding something like a <time> HTML tag that would let users decide how they want to see it, and see it in their own localtime automatically. JQuery plugin anyone?
