LURCH said:
??
This statement is hyperbole, yes? It implies infinite energies. If this statement were litereally true as stated, one power plant of arbitrarily small size could power the whole world without operating at its maximum capcity.
LURCH,
It's not hyperbole at all - it is simply the physics and mathematics of neutron transport.
By what "logic" did you conclude that the multiplicative indetermism of the power
necessarily implies "infinite energy"? Power is the derivative of the energy with
respect to time. An infinite derivative DOES NOT imply an infinite value of the function.
Take for instance, an electrical "square wave" - a voltage that jumps from 0 to 1 then
back down to zero, then later jumps back up to 1...
Although one can't make a perfect square wave in practice; an "ideal" square wave
has the voltage jump from 0 to 1 instantaneously. The value of the derivative is
INFINITE.
Using your flawed reasoning; one would conclude that the infinite derivative would
result in an infinite value of the voltage. But that isn't true. The voltage stays finite.
The neutron transport equation is linear and homogeneous. IF, and that is a big IF;
one is able to cool the reactor adequately - one can take the energy out as fast as
one likes.
That does NOT imply infinite energy. The total amount of energy in the finite mass of
fuel is FINITE.
This is essentially what allows nuclear weapons to work. There is a finite amount of
energy; even a nuclear weapon is not an infinite source of energy; and that energy
can be produced in a very small amount of time. However, that time is finite; so the
power of a nuclear weapon is not infinite.
However, the mathematics and physics allows energy to be released at very fast rates.
We are limited in how fast we can extract that energy by limits on how well we can
cool the system or hold it together if we don't adequately cool it.
Dr. Gregory Greenman
Physicist