Abstract
The a priori theory of everything is described, explaining all aspects of the Universe based on fundamentally new mathematics and physics, within which the mathematical formula of the fine-structure constant arises, which Richard Feynman called the greatest damned mystery of physics. Unlike previous versions of the theory of everything, the a priori theory of everything is considered a self-realizing project of the Multiverse, including stars that form, function, and disappear on their own. A three-hundred-year history of the development of this quantum-relativistic theory by Leonhard Euler, James Clerk Maxwell, Arnold Sommerfeld, and Paul Dirac is presented.
The main idea of the a priori theory of everything is that it creates a naturally unified basis for the interpretation of cosmology, which studies the properties and evolution of the Multiverse as a whole. This theory has no prototypes or variants, as it is itself the only prototype. Its content arises as a result of the interpretation of an axiom formulated as a mathematical formula:
$$ \boxed{\frac{1}{\sigma\sqrt{2\pi}}\int_{-\infty}^{\infty}\ e^{-\frac{1}{2}(\frac{x}{\sigma})^{2}}dx=1.} $$
The goal of the a priori theory of everything is to build as long a mathematical chain of consequences from the original axiom as possible, including the exposition of cosmology.
This allows the original mathematical concepts of the axiom to be linked to the observed consequences in practice.