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The Black Hole Injector: A Theoretical Framework for Mass-Energy Conversion and Ultra-Relativistic Propulsion
| System | (I_sp) (s) | Thrust (N) | Storage Hazard | |--------|--------------|------------|----------------| | Chemical | (300-450) | (10^7) | Low | | Nuclear Thermal | (900) | (10^6) | Medium | | Ion Drive | (3,000) | (10) | Low | | Antimatter | (10^7) | (10^5) | Extreme | | | (2.4 \times 10^7) | (10^7) | Extreme (but passive) | black hole injector
If ( M_BH < M_\textcritical \approx 10^11 , \textkg ), the Hawking radiation power exceeds the Eddington limit, causing rapid evaporation. For our ( 10^6 ) kg BH, evaporation time without refueling is: [ t_\textevap = \frac5120 \pi G^2 M^3\hbar c^4 \approx 4.5 \times 10^7 , \texts , (\approx 1.4 , \textyears) ] Thus, continuous fuel injection is mandatory. A feedback loop adjusts injection rate to maintain ( \dotM \approx 0 ). Failure leads to an explosion equivalent to ( 10^6 ) kg converting to energy — a 20 Gigaton blast, necessitating failsafe detachment systems. The Black Hole Injector: A Theoretical Framework for
A. J. Vance, L. M. Chen Affiliation: Institute for Advanced Propulsion Studies, Caltech / MIT (Hypothetical) Failure leads to an explosion equivalent to (