[bottomlander]

AdS/CFT Correspondance and Holographic Principle are very advanced mathematical/theoretical terms used only in string theory. There are hundreds of similar specialised terms used in string theory.

Any person who likes to work on string theory beyond the level of popular science needs to have a very strong background in advanced modern mathematics. At an age of 13, unless there is a team of professionals to tutor or provide you self-study resources up to that level, you need more time to manage it step by step to understand dozens of mathematical terms and special terms before handling AdS/CFT Correspondance and Holographic Principle.

Please note that these two terms have not yet been entered into a Standard Theory. Most terms if not of a Standard Theory will have different interpretations and explanations. That is why you found many articles are different from the others.

In the near future, no one here or anywhere can bring out "standard explanations" on those advanced terms of string theory (which is not yet a standard theory). And personally, I don't think those available "popular explanations" or "popular science explanations" are helpful/truthful.

Best Regards. Bottomlander