Number, Operation and Geometry And Pontifications on Riemann’s Hypothesis

Algebra would not work without geometry. Neither would Group Theory. And if you can't figure out why Double Primes would be useful in finding a pattern in primes (useful, not saying they could, because it could still be completely random, but then maybe that randomness could be used to establish a pattern for understanding randomocity, and would be a geometry we could use to understand that), then I can't explain to you why all that other stuff is true.

But if I try, think deeply about [what I'm saying]. Algebra works on the consistency of number and operation. Which has its root in geometry. We can only know algebra and operation works, because we observe it in geometry. Without geometry, there would be no algebra, or any use for it. As all things explained by algebra, relate to geometry. Everything in math, relates to a physical representation, and if it can't, it's not usable. That's why there are not negative cubed roots, but there are quartic.

And double primes are important for finding a pattern in prime numbers, because it's the only pattern we have to go by, in primes, is that there are double primes.

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 "Algebra can work without geometry". [but] if it could, apples could grow without seeds. It's just nonsense [to say that]. And everything else, in Group Theory, in order to solve it--which I don't know what Group Theory is--you'd need a geometric representation, to get to the abstract answer for other uses.

That's why Riemann's hypothesis is finding a pattern in Primes. Which, if the Zeros were the whole of it, we'd find all the primes. Which we cannot do, so it's quite arbitrary. Whereas, the only pattern we have, that's real, is the twin primes. I'd think anyway... It's just simple to process for me.

Riemann's hypothesis is probably working toward a constant, or equation that can give you a basic geometric design to solve other abstract solutions. Kind of like how quadratic equations get you to a bunch of uses, but ultimately it works on the basis of a square's area.

[So], when you do equations- {} balancing them, you're basically taking two shapes, and then molding them into equal shapes, until you balance the equation. That's the right way to look at it. As, you can relate two shapes together, if they're equal, and come to a true solution. That's just the principle of an equality. Or really, you're just deriving two shapes that are equal to the same number.

[T]he Quadratic Equation, {} is a simple analogy. It's basic stuff, but very complicated in the theory. And people who are solving Riemann's Hypothesis, are trying to find a system of logic, that describes Prime Numbers, that's like a quadratic equation in that it has many uses, and trying to create a shape that describes it. And by having that shape, and that system, you can then reach to higher concepts, that need the logic to be completed. Or like Pi, there's a constant that is defined by a circle's shape, and that's something we measure, and use all the time, to get the correct solution. Because it's the real number that defines a circle.