Black — Hole Injector

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.

A linear accelerator (1 TeV) injects protons tangentially into the ergosphere. The injector uses a pulsed neutron beam to avoid Coulomb repulsion. Injection rate ( \dotm ) is tuned such that the BH’s mass remains constant: [ \dotM \textBH = \dotm \textin - \fracP_H + P_\textjetc^2 = 0 ] black hole injector

The Black Hole Injector: A Theoretical Framework for Mass-Energy Conversion and Ultra-Relativistic Propulsion The emitted Hawking radiation (predominantly gamma rays at

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 injector uses a pulsed neutron beam to

| Parameter | Value | Unit | |-----------|-------|------| | BH Mass | ( 10^6 ) | kg | | Schwarzschild Radius | ( 1.48 \times 10^-21 ) | m | | Hawking Temperature | ( 1.2 \times 10^11 ) | K | | Thrust (at 1 kg/s injection) | ( 2.4 \times 10^7 ) | N | | Specific Impulse ((I_sp)) | ( 2.4 \times 10^7 ) | s | | Power-to-Weight Ratio | ( \sim 10^6 ) | W/kg |

For a BH of mass ( M ), the Hawking luminosity is: [ P_\textH = \frac\hbar c^615360 \pi G^2 M^2 \approx 3.6 \times 10^32 \left( \frac10^6 \textkgM \right)^2 \textW ]