Non-Inertial Dynamics and Stable Modes of the Hydrogen Atom

This work presents a non-inertial description of the hydrogen atom based on the principle of stability and a stationary balance of power. In a stochastic non-inertial environment, accelerated motion leads to radiation losses, while non-inertial fluctuations provide a compensating energy influx. Stable atomic states are interpreted as stationary regimes of vanishing average total power rather than as postulated quantum states. Discrete atomic radii and energy levels emerge as solutions of the stability conditions without invoking quantum postulates. The Schrödinger equation appears as an effective equation governing the averaged envelope of these stable regimes. The model predicts small but finite non-inertial corrections to the hydrogen spectrum scaling as n−3n^{-3}n−3, which are constrained by precision spectroscopy. The results provide a testable extension of standard atomic theory and clarify the physical origin of effective quantum behavior in non-inertial systems.