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[1] Hawking, S.W. (1975). Particle creation by black holes. Commun. Math. Phys. 43, 199. [2] Penrose, R. (1969). Gravitational collapse: The role of general relativity. Nuovo Cimento 1, 252. [3] Misner, C.W., Thorne, K.S., Wheeler, J.A. (1973). Gravitation . Freeman. [4] Crane, L., Westmoreland, S. (2009). Are black hole starships possible? arXiv:0908.1803 . This research was supported by a grant from the Initiative for Interstellar Studies (i4is), hypothetical division.
A. J. Vance, L. M. Chen Affiliation: Institute for Advanced Propulsion Studies, Caltech / MIT (Hypothetical) black hole injector
[ P_\texttotal = P_\textHawking + P_\textSuperradiant + P_\textAccretion ] [1] Hawking, S
Chemical and nuclear propulsion are fundamentally limited by their exhaust velocity ( ( \sim 500 , s) to ( \sim 10^6 , s) for ion drives). Antimatter provides the highest energy density ((9 \times 10^16 , J/kg)) but suffers from catastrophic storage issues. The Black Hole Injector (BHI) offers an alternative: a self-regulating black hole that converts infalling matter into radiation with an efficiency ( \eta ) exceeding nuclear fusion by two orders of magnitude. Commun
The emitted Hawking radiation (predominantly gamma rays at ( T \sim 10^11 , K ) for ( M = 10^6 ) kg) is absorbed by a tungsten-lithium heat exchanger, driving a closed-cycle Brayton turbine. The relativistic jets (from superradiance) are collimated by external magnetic nozzles to produce thrust.
The Black Hole Injector: A Theoretical Framework for Mass-Energy Conversion and Ultra-Relativistic Propulsion
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.
