The hyperbolic angel is a polynomial and these properties coefficients. This works just like angular rotation through a group in the famous circle chart:
So, there is a ground angle, n*a where a, right now, is ln(ph()). Add to that the charge, which will some fractional shift on a, then spin, and whatever. The polynomial defines their relationship. The game is to get all those properties to rotate around the circle without landing on empty spots in our finite number line. There will some angle derived from the fine structure, and that angle is the precision of our number line. Put this polynomial angle in the hyperbolic function and solve the standard hyperbolic differential equation:
Now there is no mass here, at the moment, we are mainly computing the Compton spectra and mass will fall our from mass-spectra equivalence. The second derivative is designed to keep the system adiabatic, that is no group restructure.
This is me barely grasping the situation, but this should also be Schramm-Loewner, group theory, nuberline theory, and Einsteins field equations. This one methor does it all.
Einstein's equations, corrected, should be the general solution between number line theory and calculus. It provides the condition, in terms of the power series of primes, a condition that makes the finite number line go to infinity for Ito Calculus or Isaac's. So The order of the polynomial defining the angle defines the set of solutions, as a group, solutions which can to an Ito or Isaac. The parameters are the precision (generally an input) , and the constants above, charge, spin, and the rest will fall out in the general solution should should become the finite powers of the various, small number, of primes. So we are basically creating a number line to match our problem, and we will find general solutions.
This whole thing is just a generalization of Shannon so that both noise and signal are Compton matched.
Cosh should be considered a rotation about the circle, and Cinh the velocity of rotation. The ground angle is set with the derivative, as other things, but the ground angle, normally is the vacuum angle. It determines precision of the number line. Going out from the system to infinity is the proof that the system under study obeys the rules of calculus. Distance and time are just one set of coordinates, but the integrals are generally taken over angles. All we are doing is designing the optimum yard stick.
The lattice they talk about in Schramm-Loewner is just a minimum spanning tree that hops along the power series for each of the primes. The law, determined by the polynomial, set that lattice structure. The coefficient along them are the determined coefficients of the variable in your angle polynomial. Time and distance can be constructed from a walk through the lattice. You should also be able to determine the rational approximations to the transcentals in the walk through.
If minimality and uniqueness are equivalent, then the walk through the lattice should be a dual of a walk through the Wythoff array and a walk through the Markov array. The zeros of the Lucas polynomials should define the empty sports on the number line.
So, we are merging group theory, calculus, number theory, prime theory. It is the great simplification, the theory of everything. But, I keep telling my audience, I am not a professional here,I know this stuff, and am good at handwaving it, but formal proofs and professional mathematics is not my thing.
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