Title: Hyper Drive Dynamics and Warp Drive Diagnostics: A Data Driven Study of Hyperspherical Bessel Shells, Tensor Audits, and S⁸ ADM Metric Optimization Abstract / Description: This research paper presents a computational and constructive framework for general relativistic warp drive metric engineering. Beginning with an Alcubierre-style shift metric, the traditional warp shape function is generalized into a hyperspherical Bessel-breathing shell program. The model is systematically audited across four increasingly concrete computational layers: a reduced axisymmetric EinsteinPy diagnostic, a full moving-bubble 3+1 Cartesian EinsteinPy diagnostic, an S¹ through S⁸ constrained shell optimizer, and a coordinated S⁸-dominant ADM (Arnowitt-Deser-Misner) metric-component optimizer. Rather than bypassing energy condition tests, this study treats hyperspherical and Bessel modes as structured mechanisms to redistribute, reduce, and smooth peak gradient penalties in the effective stress-energy tensor. Key computational findings demonstrate that a higher-dimensional S⁸ Bessel wall basis yields optimal energy proxy distributions, while coordinated shaping of the lapse (), shift (), and spatial metric () provides substantial improvements over baseline step-like or hyperbolic tangent profiles. Additionally, the study maps the metric's auxiliary diagnostic structures, exploring magneto-acoustic statistics, dimensional accessibility resonances, and helicity/winding-lock defects. This deposit includes the full reproducible diagnostic dataset backing the analysis, spanning metric slice profiles, energy condition scans, curvature scalar calculations, and optimizer weight matrices.
Daniel Alexander Trawin (Tue,) studied this question.