On Apr 5, 2010, at 2:40 PM, Abd ul-Rahman Lomax wrote:


There have been plenty of people who have looked at BECs over the
last decade.  Takahashi is late into that game.  Here's my take on it
from 1996:

http://mtaonline.net/~hheffner/BoseHyp.pdf

Condensates likely do play some role in cold fusion.  I think LENR
happens by more than one means. BEC formation and wavefunction
collapse is just one of them.

Takahashi was very early into the "game" in his experimental work finding evidence for multibody fusion. I should look that up.

That's irrelevant. I said: "Takahashi is late into *that* game.". That game being CF as a BEC phenomenon. Here it is again:


There have been plenty of people who have looked at BECs over the
last decade.  Takahashi is late into that game.

See?



No claim is made by me that TSC theory, as it is, is a complete explanation for cold fusion. But, with more development, it is possible that it will become that.


I'm confused. Are you defending Takahshi's *actual* theory or some hybrid of his theory and your imagination? Takahashi has explicitly denied the possibility of electrons in the nucleus, and especially any possibility of their affecting the nuclear reaction itself, in particular its timing. If the reaction can not be delayed then there is no chance for the reaction energy to be dissipated in many long wave length (low energy) photons.



You wrote, in 1996,

To be
significant to CF, a condensate of two protons or deuterons in a lattice site need only
be formed a very short time, if formed often enough.

Your examination was, from the point of view of TSC theory, both more complex and too simple. There is no analysis showing that two protons or deuterons in a lattice site will fuse, without some additional elements. The two protons or deuterons don't have binding forces that would tend to orient them well, but I certainly know little about that. However, four deuterons, and particular four deuterons bound to each other with their electrons, would indeed form a preferential orientation, just take what you wrote about protons and apply it to four of them (or four deuterons):

Nonsense! I explained the required extra conditions. Here is the explanation given in the 1996 article: "Wave function collapse occurs probabilistically on the relative approach of two or more quantum waveforms. One quantum waveform can collapse to the location of the other. If two overlapped, i.e. relatively to each other slow, waveforms in a Bose condensate are penetrated by a high velocity waveform, a condensation can occur. Also,a kind of paradox occurs. All motion is relative. Assume the condensate is two protons, and the high velocity waveform is an electron. From the point of view of the proton condensate, the wavelength (size) of the electron is small. From the point of view of the electron, though, the condensate must be very small, and more importantly, since the waveforms of the proton condensate are phase locked and colocated, the condensate must appear located in a small volume. Thus, if there is an interaction, it would seem there would be a high probability that the interaction would be a 3 body interaction. That is to say the phase locking tendency of a condensate would greatly change waveform co-location probabilities. Given two protons jammed into a lattice site, the Schroedinger Equation predicts that they will be instantaneously found in opposing locations within the site. However, should they form a Bose condensate, it is logical that their locations would appear to be the same to a fast moving particle."

The key is that a pair of particles in a confined BEC should have co- centered wavefunctions, unlike those in a Schroedinger style molecular orbital, which are co-located, i.e. the probability of the location of one at a given point is a *dependent* probability, dependent on the location of the other deuteron (not being) at that point. The nuclei are highly separated for all practical purposes. In a BEC the wavefuctions are spread out, overlap. A high speed particle approaching a two particle BEC should see it as a single particle, a single wavefunction, and a small one too, due to the high relative velocity, and thus the small de Broglie wavelength.



There have been plenty of people who have looked at BECs over the
last decade.  Takahashi is late into that game.
Given two
protons jammed into a lattice site, the Schroedinger Equation predicts that they will be instantaneously found in opposing locations within the site. However, should they form a Bose condensate, it is logical that their locations would appear to be the
same to a fast moving particle.

"Fast moving particles" aren't common in there.

Of course they are. Cosmic rays are common enough to trigger the reactions. One triggered, the resulting keV electrons should keep things going a bit. However, I did suggest "If true, the hypothesis indicates that spiking the cathodes of CF electrolysis cells with particle emitters should greatly increase the yield and reliability of the CF effects." This approach is sometimes helpful, especially using thorium, but not sufficient to sustain practical CF reactions just by loading a thorium doped Pd lattice with deuterium.


But Takahashi predicts that one isn't necessary, the material will fuse all by itself.

There lies one of the problems with his or your conclusions. If this were true then liquid (or possibly even solid) deuterium should go bang. It doesn't. Many orientations of D2 molecules occur in liquid D2.

Best regards,

Horace Heffner
http://www.mtaonline.net/~hheffner/




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