porton,
Welcome to WebmasterWorld [webmasterworld.com]. Yes, I agree that E-A-T is important.... In a theoretical math site as you describe, if it were a "straight" and "normal" scientific site, chances are that a "formal" academic background might be valued over personal experience.
That said, if you want to hold on to some of the humorous flavor of your current show, you will need to make your presentation also really entertaining, perhaps even genuinely funny.... In such cases, if it works for a sophisticed audience, it may well also work for the Google algorithm, though heaven knows how Google might make these evaluations.
Note that the Google human reviewers don't individually evaluate sites or mathematic proofs, entertaining or otherwise, so your site itself most probably never will be evaluated.... What is more likely to be evaluated is an algorithm that eventually will look at presentation and audience reaction, and also at credentials (on your site and on the web). Whether for entertainment or instructional value... or both... you will most probably have to put your best foot forward, describing accomplishments, awards, concrete achievments, in both how much audiences (live or the web) like you, where you may have trained, as well as how you picked up the math, and not only describe what degree of originality you present, but embody it in your presentation... this both for users and for Google.
If you can "sell" the entertaiment aspect, then Google might dial down the demand for academic credentials and look at you more as an unusal niche entertainer, with some academic content. I'm just conjecturing here... but Google has specifically said in the past it values humor, so they must have approaches to value it algorithmically.
It's a fine line... and in truth, if you are going to have fun with a subject and still convey useful math or physics, the audience demands, which are really what need to concern you, should be the most important... They may even be tougher than either entertainment or math presentation alone... Eg, can you present the subject so it teaches, and do so in a way that might elicit laughts throughout? Humor could be verbal, or it could be situational or even slapstick.
In physics, to cite a classic... Richard Feynman's Lectures on Physics are noted for their wit and humor. His comparisons of momentum plus gravity vs angels pushing moons and planets around in orbits, eg, is a classic bit of lecture that's frequently remembered. It's a stroke of genius that's hard to match.
On another end of the spectrum in physics, I've had physics teachers who would do things during lectures like step into wastebaskets at points that needed some lightening up. I can't imagine Feynam stepping in a wastebasket, though, so you need to choose and test the personality you plan to project with an audience you hope to attract.
I did have a fair amount of college education that overlaps with what you're discussing... and my theoretical math professors were almost uniformly a serious lot... and I don't know how amusing you could make something like the derivation of the real number system. You will have to get to know your audience.
IMO, comedy should be extremely precise, never sloppy and random, but that's a personal taste. I don't know how well you can fit your crazy, mad scientist persona into what I think the required precision needs to be... but that's your creative challenge. Connecting with the right audience is likely to be tricky, but, also, all important .
Good luck. I hope these random thoughts will help.
