Apparently you can use a similar trick to overcome jetlag by fasting. One of those articles might have more information about the 'food clock' overriding other timers.
Though personally, I find the biggest difference in being able to sleep comes from avoiding screens and reading a book (or eink) instead.
Would it be safe to assume that reading from a Kindle Paperwhite with the backlight on is closer to being a screen than a book? I read mine very regularly at night and wonder if it's more effective to keep a lamp on and read with the backlight off (as opposed to reading in the dark with the backlight on and heavily dimmed).
I'm honestly not sure -and I'm still using an original nook, so don't even have first hand anecdotal evidence.
I believe the issue is the frequency of light -computer screens tend to be on the bluer/whiter end of the spectrum -in fact if you look at apps like f-lux they try and help by changing your screen to be much more red; I'd also say that a monitor/tv is putting out substantially more light than your kindle. I'm also now wondering about the difference between looking directly at a lightsource (or reading from a backlit source) compared to indirect lighting; but once again I have neither the knowledge or references.
edit: (as I can't edit my original comment) I've just realised that I never mentioned suffering with extreme acid reflux so being hungry/empty stomach isn't really an option for me -and certainly stops me sleeping, which might well have a bearing on my anecdotal observations in the OP.
Though personally, I find the biggest difference in being able to sleep comes from avoiding screens and reading a book (or eink) instead.