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Your assertion violates physics, so that's not a good start.
That's... A very arrogant way to say "let me explain what I think".
This also doesn't set a good precedent.
Okay, sounds like an interesting idea.
Maybe pedantic, but it depends what you mean by "share". We both share the trait of having skin, but not the same skin, for example.
So far, so good. Material reality exists before anything can perceive it.
What do you mean by "higher order"? This seems a random introduction of levels of reality, apropos of nothing. I can at least concede that our subjective experience of reality is separate and not necessarily representative of actual reality, but separating them into "orders" seems to imply transcendence of some kind.
There appears to be some conflation of concepts going on here, but it would be better if you were to explain this concept itself in depth before going on to develop further theories based on such a concept. With such a vaguely phrased statement, it's hard to even know where to come at it.
The way I see it is, it is not impossible to complete an infinite number of tasks. It is merely impossible to list them. You unequivocally cannot get from A to B without getting halfway, and quarter, eighth, and so on. These infinite fractions are indeed reached, it's just impossible to keep track of.
True but inconsequential. That's just gravity and the remnants of the initial universal expansion.
Once again, true but inconsequential.
"Expanding out of" is a non-question. What does gas expand "out of" when it fills a room? Itself, if you really need an answer. As for "into", that's also a non-question. The universe is the totality of everything. IT makes no sense for there to be anything other than the universe. Therefore, the best description is simply "growth" - a growth of the universe.
That is at least vaguely consistent with reality, yes.
My question to this, and everything that flows from it is:
Why? Why do you say this? This is a massive logical leap, seemingly from nowhere. Why a sine wave? A sine wave of what? What makes you say there is a universal vibration that everything is apparently tuned to? Why not a square wave, or a sawtooth?
This is just pure imagination. It'd be great in a sci-fi book - genuinely, I'd love to read a sci-fi book based on an idea like this, go ahead and write it, I'll read it - but I'm really not seeing the jumping off point for this, based on your explanations beforehand. It's like, "A, therefore B, therefore Giraffe". A non sequitur.
Such chaotic interference in the fundamental forces of the universe would be readily apparent, especially in gravity.
This is another huge leap in logic, from absolutely nowhere!
Ooookay, I guess that makes sense for worldbuilding.
Thaaaaat's a bit of a stretch, since, with the existence of gravity, you can expect such shapes to naturally form regardless. There's no meaning in the resemblance.
...No, it's just the likely place for the right amount of heat to reach a planet...
Okay, another random fact thrown in to make the preceding bs sound plausible.
And... just abstract poetry to round it off.
I would like to mention that though you called this a mathematical theory, mathematics plays absolutely no role in your theory, other than mentioning sine waves, fractals and infinity - these concepts are not meaningfully explored except for their poetic and emotional weight.
That is a damn stretch and a half to compare the habitable zone of a star to a philosophical doctrine, but I'll grant that it does have poetic relevance.
My buddy, you left logic behind long ago.
(Which you have not yet actually provided any reasoning for)
That's an interesting thought, but I see no reason to believe it, since you have provided none.
It experiences reality the whole time, the gaze just changes which part of reality it is perceiving.
When was it everything - did you mention that at some point?
Did you establish that you have to remember reality for it to exist? I don't think you did. You must have forgotten, and that's why it doesn't exist.
I've been thinking about this a bit more, and I'd like to add that you're not totally mad, as I seem to imply. There is some logic in your claims individually, but little connecting them, and not much depth to them. Though, you seem to have stumbled upon ideas similar to Hegel, particularly the idea of quantitative change leading to qualitative change, as scattered and unrefined as the ideas are.
https://youtu.be/w85nGQ_KUgE?si=6L2hPnrKdNwhBEEo
I'd also like to ask - how does this theory of yours mean that Tate, Trump, Putin etc wil all be charged at the same exact time, or not at all?