Barbie said:The carrot doesn't move as one entity. Relativistic effects are minute at day to day velocities, but it could be calculated and measured. The carrot would be a fraction of a nanometer (probably less) shorter as you wait for the front end to start moving, compared with the back end.
It's probably less than the diameter of an atomic nucleus, but it's still measureable.
BTW, i do have a masters degree in physics, i SHOULD know this stuff (though it has been a few years, so dont get me to calculate anything)
Finally someone has pointed out the obvious! Thank you Barbie

I was getting wound up all the way through reading this thread because quite simply... The communication wouldn't be instantaneous anyway!
dcolyer - I applaud anyone who takes it upon themselves to be creative and come up with new ideas. Unfortunately your idea is extremely flawed in that the device would not do what you intend it to do even if it could be constructed. Your understanding of physics is obviously very simple, which is nothing to be ashamed of mate, but I would suggest putting your efforts in to something in which you have a greater understanding of the underlying principles.