Mate, it's really not worth it - just accept the definitions of this forum and work within that framework. In the main the words are interchangable, but here where there has been intense debate over the differences between Newtonian and Einsteinian gravitation, this consensus has emerged... best just to roll with it.
Also, an excellent point to start in your studies of potential Lorentz Invariance-violating experiments is the work of Matthew Mewes and Alan Kostelecky on the 'Standard Model Extension' (SME). They have also released a paper that summarises all the various experiments and the experimental limits they have established, but to understand that you would need to read their original papers. Try this link to the arXiv:
http://arxiv.org/PS_cache/arxiv/pdf/0801/0801.0287v2.pdf (their latest update on experimental constraints in all sectors of the theory)
http://arxiv.org/find/all/1/au:+kostelecky/0/1/0/all/0/1 (link to the search results for all the papers you should need)
I stress that these guys are serious theorists and have built up what is now the accepted framework for testing for Lorentz Invariance violations. Have a hunt around the results and try not to lose heart if you run into maths you don't understand - it took me a whole PhD to get my head around the most basic bits!!