May I ask how?

Please let me know any way you think this is wrong.. a couple people agree but I don’t know who can tell me how correct it is.

I'm sorry, but to my layman's eye this doesn't appear to be a proof. This feels like a disconnected series of assertions more than anything else.

Thank you for the input, I’m an engineer and phd student in engineering so I based a lot of this on intuition, there’s an order gap for me to write something traditionally axiomatic and rigorous, but my understanding is that algebra is based on logic and problems in general, and I would like to know any logical fallacies at the very least.

Thank you for reading it.

Try speaking with some math department grad students about this.

Thank you for the suggestion, I have sent it around to some people like that to see their take! Waiting to hear more.

there is no proof here, sorry

Can you give me any hint as to why? See my other comment for the pdf if u didn’t see that.

    The only axiom is that smoothness exists, and in general increases with the number of observers

lolwut

Some specific comments:

The "v" described is "the amount an observer actually knows about the system", apparently measured from zero to one.

"dt/dreality": what is this supposed to mean. It's not defined anywhere in the paper

Thank you for your constructive feedback, what you’re saying about v is correct but only for a single observer, since information already exists and can only be realized.

From this, naturally, dv/dt is intuitively how much we think we know changes with time.

And dt/dreality is just the assumption that time progresses smoothly in reality. I think this is something to think about and we may not know currently (but I certainly see how it could use some discussion).

Again, I really appreciate the constructive feedback.

I’ve edited it to be a framework to assess smoothness and approached it more rigorously (humbly as I’m still young) and clearly.