The Universal Equation Ψ

This work presents the formal construction of the Universal Equation Ψ, a rigorous and unique foundation for the unification of physics. Building on the logical progression from Einstein’s relativity, Dirac’s theory, gauge fields, strings, and loop quantum gravity, Ψ is established as the fundamental spinorial law from which all known interactions, constants, and cosmological structures naturally emerge. Unlike previous models, Ψ is not a provisional framework but a mathematically closed formalism ensuring consistency, anomaly cancellation, and predictive completeness. Fundamental constants such as $c$, $\hbar$, $G$, $\alpha$, and $\Lambda$ arise as spectral invariants of Ψ, without arbitrary insertion. The treatise includes detailed derivations, rigorous theorems, and applications to quantum cosmology, black hole thermodynamics, and gauge interactions. This publication is intended for physicists and mathematicians seeking a high-level theoretical and mathematical formulation of a true Theory of Everything. Author: Edoardo Livolsi (Prague, 2025)Contact: [email protected]