Archive for January, 2018

398(5): Calculation of higher order

As can be seen, the theory gives reasonable results, and is based on Eq. (21), which gives an accurate description of the Lamb shift by summing over vacuum modes. Bethe’s calculation used quantum electrodynamics, which the ECE School of Thought rejects as a "dippy theory" in Feynman’s own words or an ugly theory" in Dirac’s words. Ryder sums up QED as follows "There is a feeling that there must be a better way of doing things", or similar ("Quantum Field Theory"). Accuracy in QED is obtained only by adjusting parameters, it is not magically hyperaccurate. These are given names like "virtual particles" (unobservables), dimensional regularization, renormalization and so on. In QCD things get dippier and stickier, and completely obscure and hyper complicated. The opposite of Ockham’s Razor. In a non dippy theory the infinities cannot be removed by magic. The higher order corrections in this theory depend on the radiation volume V. In a nuclear theory V can get to be very small, meaning that the higher order terms may dominate.

a398thpapernotes5.pdf

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Higher Order Classical Corrections of the Lamb Shift

The usual result for the Lamb shift, the universal constant shift Eq. (24), is modified to Eq. (25), in which there appear classical, non constant, corrections to the famous calculation. These can be worked out with computer algebra and graphed. Inverse powers of the radiation volume appear in each term. So for small radiation volumes the correction may dominate, leading to entirely new spectral predictions.

a398thpapernotes3.pdf

Calculation of the Vacuum Magnetic Flux Density from the Taylor Series

This is given by Eq. (17) from which the vector spin connection may be computed. The usual dipole magnetic flux density is given by Eq. (10), which is broken out into its three scalar Cartesian components in Eqs. (11) to (13). The tensor Taylor series is applied to each component. ECE2 theory automatically gives the vacuum correction through the definition (3). The standard model fails completely to account for the vacuum field because it defines the magnetic flux density using equation (2), without the spin connection. Clearly this calculation is impractical by hand, but straightforward by computer algebra, using the program written by Horst for isotropic averaging. The tensor Taylor expansion is very fundamental and general and can be applied throughout the natural sciences and engineering to research the effect of the vacuum on physics. I expect that the graphics for this calculation will display hitherto unknown patterns due to the vacuum. The computation can be carried out in any coordinate system, not just Cartesian.

a396thpapernotes4.pdf

Orbital Precession due to Vacuum Fluctuations

I would say that the complete delta F term on the right hand side of equation (7) of Note 396(3) must be equated to the complete sum of the binomial expansion. They cannot be equated term by term. However, for v << c Eq. (16) holds, in which delta F is the sum of the fourth and sixth order corrections that you have already worked out, plus higher order terms. The reasoning is that the lagrangian (10) is known to give precession, (UFT377) so if the vacuum correction delta F is equated to the right hand side of Eq. (16), delta F will give the same precession. Therefore precession originates in the vacuum, QED.

Graphics of 4th and 6th order fluctuations in the 1/r^2 force law

Very interesting results again, the fundamental tensor Taylor expansion shows that the vacuum influences the inverse square law. The method of Note 396(3) is still valid and it would be interesting if an orbit could be calculated directly from these new force laws. It would also be useful if the analytical expressions could be given for the fourth and sixth order corrections. in order to see how the isotropically averaged fluctuations contribute. The saddle in the inverse square law looks to be the key feature. Date: Thu, Jan 4, 2018 at 12:23 PM
Subject: Graphics of 4th and 6th order fluctuations in the 1/r^2 force law
To: Myron Evans <myronevans123>

The fluctuation terms have been computed for a fixed delta r value and graphed. We see that 4th order gives a repelling contribution which leads to a saddle in the force graph. For small r then the force is more attractive. May be an explanation for relativistic effects.

Horst

Am 04.01.2018 um 10:30 schrieb Myron Evans:

In this note the tensorial Taylor series (5) is used to calculate the change in the Hooke / Newton inverse square law due to the vacuum, and it is shown to second order that the orbital precession of UFT377 is due to the vacuum. It may be concluded that all precessions are due to the vacuum, or aether, or spacetime. This is a major discovery. The <delta r dot delta r > needed to induce orbital precession is given to second order in Eqs. (18) to (20). It would be very interesting to graph Eq. (5) to higher orders of the tensor Taylor series. Note carefully that the same tensor Taylor series is used in the theory of the Lamb shift in atomic H. So we achieve unification of concept in the description of atomic and orbital physics.

Orbital Precession due to Vacuum Fluctuations

OK many thanks, it follows that the precession is due to the fourth and sixth order terms, another interesting result.

Date: Thu, Jan 4, 2018 at 12:18 PM
Subject: Re: Orbital Precession due to Vacuum Fluctuations
To: Myron Evans <myronevans123>

After a more detailed inspection it comes out that for the force components (2-4) the quadratic Taylor terms vanish as for the potentials. This is an artifact of the linear factor X appearing in the numerator of (2) for example. First I simply used the simple formula
F_X = – mMG / (X^2+Y^2+Z^2)
but this is not correct. In the latter case there is a 2nd order contribution but it does not belong to the right force law. I think we have to go to 4th/6th order in the expansion (15) and then compare the terms.

Horst

Am 04.01.2018 um 10:30 schrieb Myron Evans:

In this note the tensorial Taylor series (5) is used to calculate the change in the Hooke / Newton inverse square law due to the vacuum, and it is shown to second order that the orbital precession of UFT377 is due to the vacuum. It may be concluded that all precessions are due to the vacuum, or aether, or spacetime. This is a major discovery. The <delta r dot delta r > needed to induce orbital precession is given to second order in Eqs. (18) to (20). It would be very interesting to graph Eq. (5) to higher orders of the tensor Taylor series. Note carefully that the same tensor Taylor series is used in the theory of the Lamb shift in atomic H. So we achieve unification of concept in the description of atomic and orbital physics.

Special relativity and the Vacuum

This is exactly what is needed and looks most promising! By using the tensor Taylor expansion, generality is guaranteed. The Coulomb law will develop the same patterns, so they are observable because what is observed always contains the effect if the vacuum.

Date: Thu, Jan 4, 2018 at 10:38 AM
Subject: Re: Fwd: Special relativity and the Vacuum
To: Myron Evans <myronevans123>

I am just studying the note and do some calculations. The quadratic Taylor term does not vanish for the 1/r^2 force, while it does for the 1/r potential. Will try to derive an expression for <delta r delta r> as given by eqs. 18-20.

Horst

Am 04.01.2018 um 11:36 schrieb Myron Evans:

Fully agreed, I know that you have been intersted in this type of work for two decades or more. In Note 396(3) I give a first proof of the conjecture.
Date: Thu, Jan 4, 2018 at 10:25 AM
Subject: Re: Special relativity and the Vacuum
To: Myron Evans <myronevans123>

The conjecture that relativity is due to the vacuum is also what I suspected for some time. It may not be an accidental coincidence that also fluid dynamics forces evoke planetary precession. This is another description of vacuum forces. The new conjecture would give relativity a much clearer meaning. This field could certainly be researched in detail, for example clearing the true role of velocity of light.

Horst

Am 04.01.2018 um 10:54 schrieb Myron Evans:

It may also be concluded that special relativity itself is due to the vacuum, because in ECE2 relativity, the lagrangian and hamiltonian of special relativity are shown to produce orbital precession, another major discovery of AIAS / UPITEC. My ancestral cousin John Aubrey , in his classic "Brief Lives" wrote that his Oxford friend and colleague Robert Hooke was the first to discover the inverse square law for an elliptical orbit, and Hooke set the younger Isaac Newton of Cambridge a problem: what is the force law needed to produce an elliptical orbit? Newton got the wrong answer, he thought that it would be a 1 / r law. It is in fact a 1 / r squared law. Hooke corrected him and after that Newton developed the inverse square law from 1665 to the publication of Principia in 1688. In so doing Newton made several mathematical discoveries as is well known, but it was Hooke who inferred the inverse square law, not Newton. John Aubrey was concerned with historical truth. His papers are in the Bodleian Library Oxford. When the Bodleian goes over to Wayback Machine software shortly, all my papers will also be in the Bodleian, as well as the National Library of Wales. They are already on the Wayback Machine in San Francisco. This machine will be duplicated in a top secret location in Canada, and hopefully other Wayback Machines will be built in Europe and other countries. The greater the number of machines, the safer the archiving. Governments should fund this Wayback Machine archiving of the internet.