Sorry for the delay in responding. Time seems to be in short supply of late.

On Jan 2, 2008, at 8:00 AM, Edmund Storms wrote:

Jones, the Widom-Larsen theory is not only inconsistent with normal physics but it is also inconsistent with what has been observed in cold fusion.

It makes the following unsupported assumptions:

1. Energy can be transferred to an electron from a low energy environment causing the mass of the electron to increase. This requires energy to go uphill and this process has never before been observed in normal physics.

I think electrons can gain energies (with some finite probability of a very high energy state that is) from environmental (i.e. chemical) conditions. Orbital electrons can gain energy from the environment through orbital modifying mechanisms. Electrons gain mass from increased velocity, i.e. m = m0*gamma. Relativistic orbitals do exist, where gamma is significant. Not all orbitals, even proton orbitals, are spherically symmetric near the nucleus, as we typically visualize them, with probability density being smaller the closer to the nucleus. In some molecules, or even lone hydrogen atoms, orbital states can exist in which the electron plunges deep toward, and periodically (or with some probability), even into the nucleus. It is only by virtue of the fact orbital electrons can and do enter the nucleus that electron capture occurs. Further, the electron capture rate for heavy nuclei has been demonstrated to be affected by the chemical (electron orbital) environment. Chemically assisted nuclear reactions are a proven reality. See:

Ohtsuki et al., “Enhanced Electron-Capture Decay Rate of 7Be Encapsulated in
C60 Cages”, Physical Review Letters, 10, September 2004

Ohtsuki et al.,“Radioactive Decay Speedup at T=5 K: Electron-Capture Decay
Rate of 7Be Encapsulated in C60”,Phys. Rev. Lett. 98, 252501 (2007)





2. This electron can react with a proton to make a neutron.

The electron gains mass only by acquiring kinetic energy. As far as I know, the electron is not believed to contain internal energy states that would allow it to store energy as mass. The rare occasion when energetic electrons are found to react, the rate is very low.

The reaction rate of electrons with hadrons is low because they are weak reactions, and typically require the interaction of a neutrino, or manufacture of a neutrino pair from the vacuum. Creation of a state that can spawn electron capture thus requires a condition in which that state can exist for long periods (long from a nuclear perspective). It may well be possible an island of feasibility exists in which the de Broglie wavelength of the electron is small enough to avoid field overlap, and the energy of magnetic binding plus Coulomb binding are sufficient to overcome the centrifugal force. For the proton see:

http://www.mtaonline.net/~hheffner/DeflateP1.pdf

For the deuteron see:

http://www.mtaonline.net/~hheffner/FusionSpreadDualRel.pdf

This provides some interesting possibilities. (1) If electron radiation can occur from this state then the electron becomes energetically trapped, plus the energy so radiated is free energy and beyond chemical energy. (2) If electron radiation can not occur from this state, then the state is quasi-stable. (3) If the state is quasi-stable, then the entity can act like a neutron (or di-neutron in the case of deuterium) for purposes of overcoming the Coulomb barrier because the binding energy can even exceed the energy of fusion.

The problem is determining the mechanism by which an electron can enter into (i.e. tunnel into) this very small state. While this is a problem, it is not a serious problem in that electron capture presents exactly the same problem. If it is assumed the electron actually is comprised of one or more highly flexible and expandable strings, then it is not so difficult to imagine how such tunneling mechanisms, or even ordinary ones, might exist.


What is most interesting is the fact the EM fields of the nucleus plus electron are capable of creating enormously energetic states, states so energetic that their relativistic masses exceed the rest masses of the particles themselves. This, however, is due to the fact particles are point like, or at least string like, but with wave- like characteristics. If charged particles can be arbitrarily small, then they can carry an arbitrarily large amount of energy when opposed charge particles interact. Coulomb binding energy goes to infinity as the particle separation distance becomes small. The vacuum's bank of energy appears to be extremely large, though not infinite because it is constrained by the Planck scale. Obtaining some is apparently just a matter of learning how to make transactions at the bank's window.




3. This neutron reacts with elements in the environment causing isotopic shift without producing radioactive products.

Many of the required isotopes are radioactive with a half life that is easy to detect. They are not observed.

I certainly agree that this is a major flaw in the W-L theory. However, it is not a flaw with the theory I present here:

http://www.mtaonline.net/~hheffner/DeflationFusionExp.pdf

On the contrary, I show that reaction with the very small deflated state hydrogen can account for the mysterious fusion branching ratio by initially eliminating all the normal D + D -> He fusion energy. The resulting heat energy which eventually evolves is merely the vacuum bank paying it back in small photon withdrawals from a small radiating electron left in the fused nucleus.

BTW, is there any W-L theory document available on the web?



4. The isotopic distribution agrees with the distribution reported by Miley.

The claimed agreement is poor at best.

Yes, there are thus probably very few genuine neutrons produced in the process. Some other species is required to explain the events.



These are the facts. Of course, it is possible to ignore the facts or be unaware of the conflict with observation. Nevertheless, I find it strange that a theory containing so many flaws in logic and conflict with observation would be considered. Apparently, this shows the desperation theoreticians have been reduced to.

I think the facts are indeed inexplicable with existing conventional theory.



I have no complaint about discussing theories based on imagination. However, they should at least be logical and consistent with all observation, not just those that support the idea. It is even possible that more than one mechanism is operating and more than one nuclear path is followed. Nevertheless, I suggest it is a waste of time making arbitrary assumptions unless these have strong support. Otherwise, this is just a game of whose imagination and salesmanship is better.


All true, except that even a half baked proto-theory, if approximately on the right track, might provide enough of a starting point on which to build a realistic theory. Consider the Bohr model of the atom for example. Bohr was not right, but he provided a good starting point for Schrödinger, etc.

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



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