Arunas Ostasevicius
Independent Researcher, Lithuania
Publications
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Research Article
The Non-Linear Dynamic Architecture of the Hydrogen Atom: Overcoming the Paradoxes of Linear Quantum Mechanics via Quaternion Attractors
Author(s): Arunas Ostasevicius*
This paper introduces an alternative, deterministic paradigm for the micro-world by modeling the hydrogen atom as an open, non-linear dissipative system embedded within the hydrodynamic substratum of Wheeler’s quantum foam. By replacing the abstract complex valued wave function of standard quantum mechanics with a modified three-dimensional Van der Pol system formulated via Hamilton’s quaternions (H), we resolve the fundamental paradoxes of stationarity, instantaneous quantum jumps, and wave-particle duality. In this framework, the stable ground state of the atom emerges naturally as a stable limit cycle (attractor), where the classical Coulomb potential acts as an active negative-friction energy pump that balances velocity-dependent radiative dissipation at the Bohr radius (a0). We present a non-quantum, electrodynamic derivation of the Bohr radius and link the emission f.. Read More»

