These days, if you don't reach a new theory via the use of mathematics, then your theory is considered to be nothing but pure rubbish created by a crackpot.
If someone pops up and says "check out my new theory", the first relevant questions are "let's apply consistency checks to it" and "let's generate your theory's predictions/postdictions for a standard suite of experiments".
If you can't do consistency checks and can't make experimental predictions, your theory is garbage. It's hard to avoid that conclusion. (This is different than "testability". Numerous mainstream, controversial-to-crackpots physics topics---string theory, dark energy, QM interpretations---are in fact great at consistency-checks and postdiction/prediction power but weak on testability.)
If you
can do consistency checks and make experimental predictions, then your theory may be shown to be either wrong or right---maybe not by you, but by people who can read your theory and think of tests for it.
The problem with anti-math crackpots is that "stop demanding math" is really their defensive way of saying "I'm not going to let you test my theory". The Electric Comet people want to
look at photos, convince themselves that comets are electric, and they want you to believe them. They don't want you to sit down with an electromagnetism textbook and figure out where an electric comet's field lines are pointing, or how it would look under x-rays, or whether it makes sense. They did some mental consistency checks themselves, and that's all there is ever going to be. Same with all crackpottery.
But they're not stupid enough to say that in those words; they adopt a sideways transfer of hostility to math itself. "Bah, you keep talking about Maxwell's Equations because you're irrationally stuck in mathworld!"
If you want to present a nonmathematical theory, well, are you doing it for that standard crackpot reason? Is it just a crackpot excuse for why your theory is uncheckable and predictionless?
In your case, I clicked through to your videos and saw you using geometry and math to organize your reasoning through a theory. Insofar as your reasoning is valid, it's
knowable that it's valid because you kept it in a checkable form using math. Insofar as anyone has a reason to believe you, it's not going to be because "you can't put two extremes into the same function", or whatever that verbal description was at the beginning---people will believe you because at the end you arrive at x' = gamma (x - v t) and that's recognizable as a paradox-free and experimentally-tested idea.