Deterministic Model of Atomic Structure: Uncertainty as a Property of Its Geometrodynamics. Part 1

This paper presents a deterministic geometro-mechanical model of atomic structure and dynamics, in which intranuclear confinement and the architecture of matter are explained purely on the basis of electromagnetic interactions and spatial invariants within an elastic physical vacuum medium – without invoking the hypotheses of the Standard Model. It is demonstrated that the internal architecture of matter is grounded in a strict geometric invariant – a trigonal deuterium primitive formed by three coupled magnetic ud-gyroscopes at its base and an electron-balancer positioned along the normal axis. Seven foundational postulates of the model are formulated, including the sectoral charge asymmetry of u- and d-quarks , the condition of phase auto-synchronization between the rotational frequencies of the nodes and the triangular frame , the construction of chemical elements as rotating faceted spheres, and the kinematic locking of degrees of freedom during phase transitions. It is substantiated that the statistical nature of quantum measurements arises naturally during the dynamic coupling of such contours in the near-field zone: the nonlinear coupling of six independent degrees of freedom and delayed feedback, including through the electron-balancer, preclude an exact predictive calculation of the instantaneous phase response, giving rise to the observed uncertainty principle. Thus, the model reconciles the deterministic electromagnetic topology of the microworld with its probabilistic dynamic behavior in multi-parameter interactions.