Jay wrote ... So for electromagnetism, time is dilated by repulsive not attractive interactions. ...
Ben6993 wrote:spin odd (QED)
q1q2 < 0: attractive
q1q2 > 0 : repulsive
spin even (Gravitation)
q1q2 > 0 : attractive
...
It will be very interesting to try to read your paper and see why a gut reaction turned out to be untrue. Amazing! I don't believe it yet.
I took out the second inequality you had for gravitation, because there is no gravitational repulsion.
PS: I will say, having written many papers over the years, that I have found that at least 10% of the time spent on a paper, sometimes more, is spent making sure you get the signs right. They are pesky details. But if you get them wrong, then when you drop something, it will fall up!
Yablon wrote:You will see a few other changes here over the last time I posted earlier incarnations of this work. First, a couple of months ago, as I was carefully reviewing my prior development to prepare for this QED extension, I realized that I had introduced a bias that if two gravitating bodies which are attracting dilate time as we know they do from GR, then two electrical charges which are attracting should also dilate time. But when I carefully walked through the calculations in section 9 and 10 and the sign conventions which I have detailed in section 2, I realized I had gotten the sign flipped, partly because I preconceived a result rather than faithfully followed the math and stowed any bias on the shelf. So in fact, time is dilated for electromagnetic interactions between two like-charges as in gravitation, not as between two attracting charges as in gravitation. So for electromagnetism, time is dilated by repulsive not attractive interactions. That is why I did not answer Ben a few weeks ago, because everything was flipped from what I said earlier and I was not ready to explain all that yet. And by the way, the quantum field theory reason for this, is that the propagators for spin 2 gravitations have an opposite sign from those for spin 1 photons.
lkcl wrote:Q-reeus, there is a paper that is commented on by oleg d jefimenko, by Oliver Heaviside:
A GRAVITATIONAL AND ELECTROMAGNETIC
ANALOGY.
BY OLIVER HEAVISIDE.
[Part I, The Electrician, 31, 281-282 (1893)]
it may be found online easily: i feel it may be relevant to answer the question / points that you make. oleg has kindly performed a conversion to modern mathematical notation.
Q-reeus wrote:I fail to follow the reasoning. Why not, instead of making likeness of charge the criteria, make altered potential the more logical criteria? Do that, and one is back to having *effective inertial mass* increased/reduced for unlike/like charges.
Yablon wrote:In quantum electrodynamics, there is a "bare mass" and a "dressed mass," the latter of which is IMHO the same as your "effective inertial mass." It is well-established that the dressed mass which is larger than the bare mass comes about by virtue of electromagnetic self-interaction as represented by Feynman loop diagrams. And it is clear that for a lepton, the EM self-interaction will necessarily be repulsive as among different "parts" of the probability density. And the self-repulsion raises the energy, otherwise the dressed mass would be smaller than the bare mass.
Q-reeus wrote:Where do you obtain that position from? Above is afaik actually the opposite of standard position in the 'dressed' approach. Which is that the bare mass of a notional point electron is infinite (divergent self-field energy density and total energy as r -> 0), with the observed i.e. dressed mass far less than the former.
Q-reeus wrote:Yablon wrote:Hi Jay,
Where do you obtain that position from? Above is afaik actually the opposite of standard position in the 'dressed' approach. Which is that the bare mass of a notional point electron is infinite (divergent self-field energy density and total energy as r -> 0), with the observed i.e. dressed mass far less than the former. See e.g.
http://www.mat.univie.ac.at/~neum/physf ... ctron.html
But I notice different attitudes to the 'dressed' formulation:
https://meopemuk2.blogspot.com/2006/07/ ... ch-to.html
Anyway, a classical analogy to 'dressed electron' is the electrostatic energy of a parallel plate capacitor in vacuo vs with a dielectric medium added. For fixed 'bare' plate charge, adding the dielectric 'dresses' the plates and reduces the net field energy by factor 1/k. Compensated for by the mechanical energy gain when inserting the dielectric. In the electron case, virtual particle dressing must become highly nonlinear at small r such as to increase the effective dielectric constant of quantum vacuum.
the link from Kevin wrote: In QED, things are analogous, though significantly more complex. Again the dressed electron state is stable and has trivial scattering behavior since there is no way to decay into other products without violating charge or 4-momentum conservation. Again, the dressing is generated by perturbation theory from undressed point particles satisfying the free Dirac and Maxwell equations.
This is the case even in the nice, infinity-free treatment of QED in
G. Scharf, Finite Quantum Electrodynamics: The Causal Approach, 2nd ed. Springer, New York 1995.
The difference of the treatment there to the usual treatment lies solely in the fact that he uses point particles with the physical masses and charges to start the perturbation theory, while the standard approach begins with bare particles of infinite mass and charge that are made finite only in a mathematically questionable renormalization procedure.
lkcl wrote:jay, i spoke to an engineering friend of mine: he says that the experiment, when it is carried out, may actually need to either be done in space, or at the north or south magnetic pole, *OR* that it may be necessary to use one of the machines that he is aware of which creates magnetic zero-point fields (a fancy word for saying that it measures the magnetic field then uses magnetic coils to counter-balance the detected fields so that they are all zero).
Yablon wrote:1) Take a neutral material body A that we can call a geometrodynamic clock insofar as it is emitting periodic signals. Place it in an external potential. Use another "lab clock" to track the signals from A, which to say, use a device that can record the color/frequency of light emitted by A. Then, simply charge up A with as much charge as you can get to stick, and see if the signals from A are redshifting slightly. The theory predicts time will dilate because of the self-repulsion within clock A, so this result would prove that, qualitatively.
2) Charge clock A and put it at a distance r from the source of the (point charge, Coulomb) potential. Measure the frequency of the signals from A. Then, without changing anything else, move the clock to 2r. The time dilation (over and above ) should be cut in half. Then move the clock to r/2. The time dilation over and above 1 should double. This would be a quantitative proof. Other variations would include doubling and halving the charge on the clock and showing a proportionate change in the time dilation over and above 1.
In all cases, the clock we charge up should be as light as possible because the magnitude of the time dilation effect grows inversely to the rest mass. Which you can think of as the inertial mass "resisting" the time dilation in a Newtonian a=F/m acceleration sense.
Q-reeus wrote:Jay,
What kind of clock? Mechanical oscillator (e.g. spring-flywheel), phase-locked crystal oscillator (e.g. digital watch), atomic clock e.g. Cesium, other?
...discussion about different clocks...
Q-reeus wrote:PS - once again, I was cut out of email notification re response to my previous post this thread!]
Yablon wrote:Also, Part III of my paper about the magnetic moment anomalies uses these to show that proof of this time dilation is already built in to the anomalies; the anomalies prove time dilation and are proportionate to the time dilation factor minus 1, see (13.16) and (14.1) of http://vixra.org/pdf/1609.0387v1.pdf. I have in effect proposed using the electron itself as a clock because it is already naturally charged and very light. And I have shown shown that when one does so, the time dilation is one plus the anomaly,.
Under and the the left of where you submit replies (save draft, preview, submit buttons) there are five boxes than can be checked. One says "Notify me when a reply is posted."
Q-reeus wrote:No matter how well your theory may tally with known values for particle self-interactions such as anomalous g-factor for electron, given the explicit predicted coupling to external charge distributions, it's there you will need to experimentally show a consistent physics exists. Which as we have gone over in this and earlier threads, should be relatively easy and low tech once the obvious choice of 'clock(s)' is made.
lkcl wrote:...
jay: a clue to follow up is to read Bracewell Chaper 12. the formula on page 241 (two-dimensional fourier transform) should be immediately recognised. it contains that all-familiar e^(-pi.xxxxx) as do the subsequent Hankel Transformations that Dr Mills successfully applies in GUTCP.
http://lkcl.net/reports/fine_structure_ ... Chap12.pdf
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