Many thanks for going through these notes in detail. The definitions in Eqs. (25) and (34) are the usual ones, in the contravariant four derivative the sign of del is negative. Agreed about 53/54, it denotes the mass m + m(vac). In fact all measured elementary particle masses are always m + m(vac) in this new theory. Agreed with the other comments, ion fact one manifestation of the vacuum mass m(vac) is the g factor of electron. A completely new approach to the vacuum is now possible.
In a message dated 21/01/2016 14:59:40 GMT Standard Time, writes:
In( 25) you wrote the space part of the contravariant 4-vector with negative sign which is correct as far as I remember. in (34/35) you did it the reverse way. Is this a typo?
What does “m” mean in (53/54)? Is it the particle mass alone or including the mass of a vacuum particle?
A scattering process with vacuum particles is consequent. If it is assumed that the mass of a vacuum particle is small, it requires a lot of scattering processes to give a measurable effect. Nonetheless, if the particle density is high, a lot of such scatterings can take place on an atomic scale.
For pair creation (59) quite high energies are required. It is reasonable to assume a 2-particle process because scattering of higher order is less probable. This requires that the energy of the partner masses is very high. Can we assume that there are excited states vacuum states or at least a high velocity? This then would give a high E and the possibility of pair creation.
Finally a high density of vacuum particles gives a relatively high vacuum energy density as predicted by quantum mechanical estimations.Horst
Am 18.01.2016 um 11:29 schrieb EMyrone:
This note introduces several new fundamental concepts, notably the quantization of potential energy through the W sup mu four potential of ECE2. Applications to energy in the ECE2 vacuum include the inference that a matter wave four vector is shifted by interaction with the vacuum wave four vector, so momentum energy from the vacuum is always observed in any measurement of frequency or wavelength. The vacuum is shown to be governed by the same relativistic equations as matter. For example there is vacuum rest energy:
E0 (vac) = m(vac) c squared
and this can be large, depending on the mass of the ubiquitous vacuum particle m (vac) – the Tesla particle if you like. It is probably responsible for the extra energy observed in LENR. Another example of the rich particle structure of the vacuum is given when two vacuum wave / particles annihilate, to give particle / antiparticle pairs of matter. Apparently this has been obsrved experimentally as indicated this morning by co author Horst Eckardt. It should be possible to experimentally measure the vacuum angular freqeuncy and vacuum wave vector, and a method of doing this is sketched. This theory accounts for the well known radiative corrections in an entirely new way, and the next note will deal with the anomalous g factor of the electron. Note carefully that these equations of ECE2 special relativity are the same, mathematically, as the familiar equations of special relativity, but exist in a space with identically non-zero spin connection, torsion and curvature in general. The Aharonov Bohm vacuum is the special case when the tetrad and spin connection are non zero and where the torsion and curvature are zero. The key new inference is that the W four potential is the spin connection four vector within the quantum of magnetic flux, the fluxon, h bar / e.