There’s no getting away from the fact that you have to understand a bunch of acronyms in order to understand how BLE works.
I see that the Bluetooth Specification Version 4.0 is now available to everyone. When I first looked for 4.0, you had to be a Bluetooth member.  
It’s quite well written for a standards document.   It is 2300+ pages so I won’t be sending a request to the Xerox subdivision – well not yet anyway.  A lot of it is at a level I don’t understand or care much about.  
Here’s what I think is worth taking a closer look at:
Vol 1, Part A, and B seem like good general background reading. 
Vol 3, Parts F, G and maybe H are probably useful
Vol 6, which is all about BLE, actually doesn’t seem all that useful at this stage.

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