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What the NUMBERS' PLANE is?

It's the most natural, geometric representation of the numbers treated as the complex objects. In contrast to the plane of complex numbers, where a number is represented as a single point, here each number n is represented by n points (unities) distributed equally on a circle of radius n. Such arrangement of the numbers (their unities) on the plane allows immediately to naturally decode their most important feature - DIVISIBILITY. Every number has its own unique PATTERN OF DIVISIBILITY showing how the given number is divisible by all the other numbers smaller than itself. Red unities are these, which are relatively prime to all the other unities belonging to numbers smaller than n. Patterns of divisibility in a linear form: Quantities of relatively prime unities within given number represent naturally the value of the Euler's Phi(n) function , and here, apart from the value itself, we also have its geometric representation. What is extremely

Entropy of number sets as a key to proving the Riemann Hypothesis

Insights on the Black Holes information paradox from the behavior of the entropy of the Euler’s totient function