We present \textbf{warpax}, an open-source, GPU-accelerated Python toolkit for observer-robust energy condition analysis of warp drive spacetimes. Existing tools evaluate energy conditions for a finite sample of observer directions; \textbf{warpax} replaces discrete sampling with continuous, gradient-based optimization over the timelike observer manifold (rapidity and boost direction), backed by Hawking--Ellis algebraic classification. At Type~I stress-energy points, which comprise ${>}\,96$\% of all grid points across the tested metrics, an algebraic eigenvalue check determines energy-condition satisfaction \emph{exactly}, independent of any observer search or rapidity cap. At non-Type~I points the optimizer provides rapidity-capped diagnostics. Stress-energy tensors are computed from the ADM metric via forward-mode automatic differentiation, eliminating finite-difference truncation error. Geodesic integration with tidal-force and blueshift analysis is also included. We analyze five warp drive metrics (Alcubierre, Lentz, Van~Den~Broeck, Natário, Rodal) and one warp shell metric (used primarily as a numerical stress test). For the Rodal metric, the standard Eulerian-frame analysis misses violations at over $28\%$ of grid points (dominant energy condition) and over $15\%$ (weak energy condition). Even where the Eulerian frame identifies the correct violation set, observer optimization reveals that violation severity can be orders of magnitude larger (e.g.\ Alcubierre weak energy condition: ${\sim}\,90{,}000\times$ at rapidity cap $ζ_{\max} = 5$, scaling as $e^{2ζ_{\max}}$). These results demonstrate that single-frame evaluation can systematically underestimate both the spatial extent and the magnitude of energy condition violations in warp drive spacetimes. \textbf{warpax} is freely available at https://github.com/anindex/warpax.
翻译:我们推出**warpax**——一个开源的、GPU加速的Python工具包,用于曲速时空的观测者鲁棒性能量条件分析。现有工具仅针对有限观测者方向样本评估能量条件;**warpax**则通过类时观测者流形(快度与推进方向)上基于梯度的连续优化取代离散采样,并以霍金-埃利斯代数分类为理论支撑。在测试度规中占比超过96%的网格点处,I型应力-能量张量点可通过代数特征值检查**精确**判定能量条件满足性,无需依赖观测者搜索或快度上限。对于非I型点,优化器提供带快度上限的诊断功能。应力-能量张量通过前向模式自动微分从ADM度规计算得出,消除了有限差分截断误差。工具包同时包含测地线积分及潮汐力与蓝移分析模块。我们分析了五种曲速驱动度规(Alcubierre、Lentz、Van Den Broeck、Natário、Rodal)和一种曲速壳层度规(主要作为数值应力测试)。对于Rodal度规,标准欧拉参照系分析会遗漏超过28%网格点的显性能量条件违反和超过15%网格点的弱能量条件违反。即使在欧拉参照系能正确识别违反集合的情况下,观测者优化仍揭示违反严重程度可能高出数个量级(例如Alcubierre弱能量条件:在快度上限$ζ_{\max} = 5$时达到约$90{,}000$倍,且按$e^{2ζ_{\max}}$规律标度)。这些结果表明,单参照系评估会系统性地低估曲速时空中能量条件违反的空间范围与严重程度。**warpax**可通过https://github.com/anindex/warpax免费获取。