The ERIЯƎ Theory: Rotational Coherence and Energy Quantization in Proton-Electron Interaction - A Computational Study

This work presents a novel interpretation of atomic interactions through the ERIЯƎ Theory (Exponentialization and Rationalization of Imaginary Rotational Evolution), focusing on the proton-electron system. The study explores how rotational coherence across multidimensional imaginary planes (i, j, k) gives rise to naturally quantized energy levels without invoking discrete postulates. Two core simulations demonstrate how the ERIЯƎ framework reproduces key experimental data — including the hydrogen atom energy levels — through geometric phase alignment. The model proposes rotational projection as a foundational mechanism for both electromagnetic and gravitational interactions, offering a unified algebraic interpretation rooted in resonance and coherence. Full code and symbolic models are available in the open-access repository:https://github.com/DanBrasilP/ERIRE