[chmst]

Hokay, here we go:

Heisenberg's uncertainty principle in energy time form

Delta E*t~h/(2*pi) where h is Planks const.

So for two D-hydrogen atoms to fuse you need what, about 8 Kev? Right? And room temp. is close enough to 0 Kev to call it that. So that is your E. All fusion happens by "tunneling" (well most anyway). Fusion occurs because on atom "borrows energy from the universe" but only for a short period of time. How much time?

t<(h/(2*pi))/E

Now if we were to assume that all the energy is linear we can get the velocity of the atom.

E=1/2mv^2 (yes you should use gas eq. but screw that)

v=sqrt(2*E/m)

Max distance the atom can travel with that energy before it has to "give it back to the universe"

x=v*t

If the distance between atoms is X then we find:

X>>x

Fusion doesn't occur unless the HUP is completely wrong.

[Diogenesis]

Good for you, chmst.

There are TWO problems with your probative analysis.
First, the HUP is (when ignoring the delta-p delta-x form)
delta E * delta t ~ h/(2*pi)
That is, they are uncertainties of the value and not absolute value.
Please note that you switch the two in your 1st through 3rd equations.

Second, in cold fusion there are substantial fugacities
attained using locally large electric field intensities
and the impact of the loaded lattice
which your equations 4 (and others) ignore.

On the other hand, the negativists have
much company in being unable to perceive humanities' creativity.

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