There is no real getting away from what I wrote in my last post - that, regardless of anything to do with your kitchen lighting (dimmers, 'transformers' etc.), there is no way that you could get a noise (of any nature) coming from around a switched-off dining room light unless there was something wrong in the vicinity of that dining room light.
I take it that you are absolutely certain that the sound is coming from the dining room light (or something near to it)? You originally described it as 'electrical interference', and subsequently as 'arcing' after others had suggested that is what it was probably due to. Can you describe it - is is a buzzing sound, crackling sound, or what? ... and does it carry on continuously if you leave the kitchen cabinet lights on?
Kind Regards, John