Axisymmetric Confined Matter Transport in the Alcubierre–Cacci Framework A Finite-Guide Benchmark in the Nonrelativistic Disformal Limit with Reciprocal Self-Gravity and Energy-Accounted Switching (Effective Axisymmetric Model)

Can the directional organization of an underlying physical substrate improve the transport of matter, even without invoking superluminal motion? This question lies at the heart of the present investigation, which marks a further step in the development of the Alcubierre–Cacci research programme: from the theoretical possibility of organized transport geometries toward the numerical examination of dynamically evolving, spatially confined field configurations. Building upon the effective-field-theoretic formulation of Cosmic Broth Cosmology and subsequent studies of disformal coupling, gravitational backreaction, and dynamical matter transit, this work extends the investigation beyond spherical symmetry to a finite axisymmetric guiding structure. Within a nonrelativistic disformal approximation, the model couples an organized substrate field, dynamical supporting and storage sectors, a propagating matter field, and reciprocal weak-field gravity. Their evolution is studied through numerical simulations incorporating energy accounting, transverse spectral analysis, convergence tests, and comparisons with matched reference configurations. The results demonstrate the existence of localized transverse guided modes within the selected model and show that directional organization can significantly improve matter-wave collection under the simulated conditions. Approximately 99.8% of the incident matter-field packet crosses the complete exit surface, while nearly 60% is collected within the designated receiver aperture. Under matched initial-resource conditions, the axisymmetric guide achieves approximately 49.7% collection for the spherical reference and 10.2% for the elongated configuration without the disformal interaction, compared with approximately 60% for the active guide. These findings indicate that the principal benefit of the modeled corridor is not an increase in propagation speed, but the controlled reduction of transverse dispersion and the improved spatial concentration of transported matter. The investigation also reveals important limitations. The guiding advantage depends on receiver geometry and propagation distance; the supporting configuration is not indefinitely stationary; and the energy required for activation cannot be inferred solely from the net work exchanged during a switching cycle. Crucially, the study does not demonstrate faster-than-light propagation, a gravitational warp shortcut, or an operational propulsion system. Its gravitational treatment remains within a reciprocal weak-field approximation rather than a complete axisymmetric evolution of Einstein's equations. The contribution is therefore a conditional theoretical and computational benchmark, not an experimental validation of the Cosmic Broth hypothesis. Nevertheless, the study advances a central question of the Alcubierre–Cacci programme: whether the spatial organization of interacting fields can produce useful transport properties that are not captured by spherically symmetric configurations alone. The significance of this investigation lies not in claiming that the distance between the stars has been overcome, but in transforming an ambitious physical intuition into a mathematical problem whose assumptions, costs, limitations, and observable consequences can be examined. The next challenge is to determine whether these guiding properties persist under fully relativistic gravitational evolution, finite material loading, and more general three-dimensional perturbations. Keywords: Alcubierre–Cacci Framework; Cosmic Broth Cosmology; Axisymmetric Matter Transport; Disformal Coupling; Emergent Transport Geometry; Nonlinear Field Dynamics; Transverse Confinement; Weak-Field Gravity; Numerical Simulation; Energy Conservation.