Astrobiological Implications of Anomalous High-Energy Transients: Mathematical Modeling of Spacetime Metric Failures, Relativistic Scorched-Earth Defense, and the Great Filter

This paper presents a formal mathematical and phys-ical framework to interpret anomalous “hostless” and “debris-free” gamma-ray bursts (GRBs) as potentialhigh-energy technosignatures arising from advanced civilizational activities. We model three major bound-ary scenarios: (1) the spacetime metric containmentfailure of Alcubierre-type warp drives using 3+1 nu-merical relativity, (2) the thermodynamics of scorched-earth cosmic defense systems undergoing completebaryonic matter-to-energy conversion (E = mc2), and (3) a modified Drake-Hanson equation incorporating the systematic failure rates of ultra-high-energy plan-etary and stellar experiments. Additionally, we incor-porate the “quiet expansion” paradigm governed by autonomous space AI, analyzing the atmospheric ab-lation and deceleration paradoxes of relativistic seed probes. We define distinct observable fingerprints, such as the pionic decay bump (70 MeV) and anomalousgravitational-wave chirps, to differentiate these tech-nosignatures from standard collapsar or compact binary merger models.