Abstract
The self-assembly of granular materials under ultrasonic vibration—spheronization—provides a macroscopic analog for superconductivity. When powder is vibrated, cohesive forces overcome repulsion, forming spherical agglomerates that represent the lowest-surface-energy configuration. This low-energy state, surrounded by higher-energy particles, resembles a superconductor's phase diagram: the sphere corresponds to the superconducting state, while the powder corresponds to the normal state.
Current ultrasonic experiments reveal that below critical vibration thresholds, the polarity of an applied current shapes electron clouds into ovals (δ+ head, δ- tail) aligned along atomic rows, creating tunnel conveyors where driving force equals drift momentum (f = d). In this purely elastic, steady-state condition, no inelastic processes occur, resulting in zero resistance and no heat loss.
Superconductivity is enhanced by an optimal number of additional oval clouds under f = d, as well as by high pressure, which increases electron cloud velocity. Exceeding critical thresholds (E > Ec, H > Hc, J > Jc) disrupts streamlines, inducing electron turbulence and loss of superconductivity.
This model contradicts BCS theory, as ionic–neutral–ionic cycles generate violent vibrations and heat, while zigzag electron paths inevitably produce heat loss. Thus, the electron streamline model offers a coherent explanation for superconductivity grounded in ultrasonic behavior and granular self-assembly analogs.



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