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same as the paper in the open access - meant for a run test of the author., same as the paper - "8 theory - The Theory of Everything" for private use of the author.

The following is a Thesis written solely by Manor Ohad - V8.1Inserts- 888-944:(Proofs (224-240)+ Propositions (178-203).TheFile aimsto makethe ambit of the new 8T accessible. 8TSynoptic in:Main Equation:(1),(1.1) for strong and(1.2) theCoupling Constants Series by the Primorial# derivedin early 2021.A GR Framework,modified to includeFermions, Bosons,Dark Energy + Flatness+ Dark Matter (2.1), Gravity(Coupling Predicted- Page 371), Higgs,Particle wave Duality, Three generations, Singularity, Spin and Beyond. Early Stage thesis ideas - pages 4 -200, Middle Stages 200-300,pages- and Last stages of the thesis 300 to 944.The thesis is written as a self reflection, all ideas including the ones the author considers incorrect (at retrospect) are presented as is, that is for allowing the reader to evaluate how the ideasvaried over time. The Thesis entail the exact chronic, each "Update"in earlier versions is taken to bean insert and appear at the last pages. The sole difference in the 148versions is thethesis length, the main equations are the same. Contact : Ohadma@Protonmail.com

Thispaper present threetheorems on a Lorentz manifoldwhich yield an on pointprediction ofthefine structureconstant, and as the result theawaitedequation of coupling magnitudes.this paper than allow us tounify QM with GR. The equation also predicting the magnitude of any additional element in the series, the next element should stand at ratio of 1/850 compared to the strong interaction. Updated to 7.9.21 &nbsp

En el primer capítulo del documento presentado, se recogen aquellos conceptos importantes para el desarrollo de la teoría de la función zeta de Riemann: funciones de variable compleja, la fórmula integral de Cauchy, el teorema de los residuos y la función Gamma como una extensión de la función factorial de un número. Luego, se enuncian la definición de la función zeta de Riemann, su relación con los números primos y cuatro demostraciones de la ecuación funcional asociada a la función zeta de Riemann que incluyen varias versiones de la continuación analítica de la función mencionada, su idea principal y lemas o teoremas necesarios para comprender la interesante ecuación funcional. En el segundo capítulo se hace énfasis en dos generalizaciones de la función zeta de Riemann: las funciones L de Dirithlet y las funciones zeta de Hurwitz, así, se esbozan la extensión analítica y la ecuación funcional para cada tipo de función, incluyendo sus respectivas demostraciones. En el tercer capítulo se presentan varios resultados interesantes acerca de la relación entre las funciones aritméticas y la función zeta de Riemann, que de por cierto, son la motivación más relevante para que se halla realizado el presente trabajo monográfico. Finalmente, en el cuarto capítulo, se ofrecen tres definiciones de funciones zeta espectrales y una serie de ejemplos que tienen como fin motivar al lector a involucrarse en los diferentes caminos que se presentan al estudiar las funciones zeta espectrales. In the first chapter of the document presented, those important concepts for the development of the Riemann zeta function theory are collected: complex variable functions, the Cauchy integral formula, the waste theorem and the Gamma function as an extension of the factorial function of a number. Then, he states the definition of the Riemann zeta function, its relation to the prime numbers and four demonstrations of the functional equation associated with the Riemann zeta function that includes several versions of the analytical continuation of the mentioned function, its main idea and slogans or theorems necessary to understand the interesting functional equation. The second chapter emphasizes two generalizations of the Riemann zeta function: the Dirithlet L functions and the Hurwitz zeta functions, thus, the analytical extension and the functional equation for each type of function are outlined, including their respective demonstrations . In the third chapter, several interesting results are presented about the relationship between arithmetic functions and Riemann's zeta function, which, by the way, are the most relevant motivation for the present monographic work to be carried out. Finally, in the fourth chapter, three connections of spectral zeta functions and a series of examples are offered that aim to motivate the reader to get involved in the different paths that arise when studying the spectral zeta functions. Magíster en Matemáticas Maestría

We introduce several theories the language of which is rich enough to talk about usual objects of real and complex analysis, and the axioms of which allow to recover a lot of classical results (sometimes with slight modifications). We prove that these theories are conservative extensions of primitive recursive arithmetic (PRA) and develop analysis within them. Moreover, as an example of their efficiency, we shall prove that the prime number theorem is PRA-provable.