Sorry, but if you're claiming nuclear power as a whole is impossible or a hoax, you're wrong. Most conspiracy theories about the nature of nuclear power or radiation are just the result of paranoid people trying to explain things they don't understand the science behind.

As someone who has personally operated and maintained a nuclear reactor & associated systems aboard a submarine for years, I can say that nuclear power definitely does exist. The scientific and practical knowledge behind it is routinely taught to hundreds of students annually within the US Navy alone. The basic concepts aren't any great secret, and have been freely accessible to the public within Department of Energy training handbooks for decades.

On a nuclear submarine, there is no other long-term source of power. The submarine's battery is incapable of providing power longer than a few hours, cannot provide the steam power needed for high speed propulsion, and is routinely charged using electricity from the nuclear reactor. The emergency diesel generator is rarely used outside of emergencies and routine maintenance/training. Nuclear submarines operate for months, even years, without external power input being necessary.