"Schoenfeld" wrote in message
ups.com...

We fill a box with a radioactive material which randomly emits
radiation. The box has a shutter, which is opened and immediately
thereafter shut by a clock at a precise time, thereby allowing some
radiation to escape. So the time is already known with precision. We
still want to measure the conjugate variable energy precisely. We
measure the energy by weighing the box before and after. The
equivalence between mass and energy from special relativity will allow
us to
determine precisely how much energy was left in the box.

The experiment allows us to determine the exact energy of the box at
the exact time, violating quantum uncertainty with extreme prejudice.
:-)

QM is logically self-consistent. Do the experiment. Don't
forget to record the time spent in weighing the box.

If delta_t is the time spent in weighing the box,

W = M * g = E ( g / c^2)

then

( delta_W ) * ( delta_t ) = hbar * g / 2 * c^2

[Old man]