Alpha Institute for Advanced Studies

In a message dated 30/08/2012 14:59:39 GMT Daylight Time, writes:

Fully agreed. The background of my comment was the following. We solved the radial part of the Schrödinger equation numerically for the background radiation effects in Hydrogen (paper 85 or so). We could do a similar try to compute the states of a nuclear wave function in a given nuclear potential. I found models for this potential on the internet. The potential could be “disturbed” by a wave from spacetime. Such an approach by a Schrödinger-like equation is certainly more critical than for atomic electrons because of neglection of realtivistic effects, but they can partially be accounted for by what is known as the scalar-relativistic approach (without spin orbit coupling). I do not know if all this will be handable with a reasonable effort but we could give it a try.

Horst
Verschickt: Do, 30 Aug 2012 3:20 pm
Betreff: Discussion on Note 226(7)

Agreed with this, this is why I suggested a Young experiment with two interfering electron beams, so the interaction with the electromagnetic beam results in a shift of the Young interferogram. That would give a new type of test of the Compton effect. The usual test as you know consists of measuring the shift in the electromagnetic (gamma ray ) frequency scattered from a metal foil. This new type of quantization has a lot of possibilities, so the various disasters of the old theory encounterd in UFT158 to UFT166 can be put back together again with this new theory. The addition of a Coulomb potential would also be very interesting – the most pressing problem is the explanation of LENR, so a nuclear potential would be the most interesting. I will put in a potential term next and go as far as I can analytically. As you know the solution of the Dirac equation for the H atom already needs the computer. It can be done analytically, but it is very complicated. However, it is possible to use approximation schemes. The basic problem is how does a low energy nuclear reaction occur. One answer would be the absorption of a quantum of spacetime energy into the nucleus. The photon is one example of a quantum of spacetime energy, the photon being absorbed into the electronic structure of an atom or molecule.

In a message dated 30/08/2012 11:27:15 GMT Daylight Time, writes:

Isn’t the frequency dependent term in Eq.(21) independent of space coordinates? This should give a constant shift in energy since the expectation value is equal to the frequency term. In a self-consistent calculation the states itself will be affected. For a free electron there is a continuous energy spectrum. The solution is an electronic plane wave, with energy according to the frequency terms. A case where the electron is in a bound state would be more interesting, for example in an atom, or a nucleon in a core potential. An expression for the potential energy is needed to handle this in a Schrödinger like equation.

Horst