Norman Albers

Externet, Hot water will crack your windshield!!! So if cold water gets you there and hot water gets you ruined, we may say cold is faster.

I will not put warm water into my ice-cream maker with the salt!

There will be more convection with the warm sample so conditions at the wall will be different. With a more calm, cold sample you can have delayed onset of the whole mass freezing if there was no spot favoring ice formation. Heat of fusion must be taken out once water is at freezing temperature. Usually freezing starts at the colder wall, or at the top where there is evaporation.

I have discussed how gravitation can be expressed as a thickening of the vacuum polarizability, which by itself is not a polarized state. On the other hand, charge and E&M fields are polar expressions, polarized dispositions of this same medium. My progress has been slow because I am being thorough: I have been digesting the mathematics of the Kerr rotating GR solution, and of the Lense-Thirring "low-field" expansion, as I hope now to construct a similar representation given a source of axially symmetric currents as per my inhomogeneous electron model. An adequate tensor expression should show how the vacuum field shows shear without any polarization, and without intrinsic spin, around a solenoid.

We consider the physics of nowhere in particular, with or without anything in particular. Would you buy something from people like this???

The final point about the Lorentz transform to the reference frame of the charge passing by, is that we derive equal and opposite "electric fields" from the scalar potential interaction, here a dipole electric field; and the time-changing A-field of the passing solenoid or magnetic whisker. Otherwise we are free to find truth.

I am glad to hear from Farsight that many other people are working in the belief that we can know more. Paradigms of understanding shift awkwardly. Back to my solenoid fields, in the electron's frame of reference, the electric field from the "induced charge field" on the solenoid would be slightly repulsive to the electron passing below the loops. There is, however, an equal and opposite electric field expressed by [math]-\dot A [/math] , as the circles of vector potential from the solenoid cruise by. This would, by itself, be taken as accelerative, attractive. Now to mess with our minds, we consider the momentum implied by any charge in an A-field, namely [math]\rho A[/math]. This points backward, repulsively. You just have to remember the basis of your accounting and not lose your nerve. . . . . . . My fundamental challenge is to render this elusive rotation of the vacuum field in terms of directional polarizability fields. I am workng to solve my Reissner-Nordstrom off-diagonal magnetic terms, actually a parallel problem...

You have to sit and do the Lorentz-transform of the current loop. Then you gotta hang out with the circular vector potential of the "long solenoid" being derived as 1/r. Last you must know from electrodynamics that generally electric fields: [math] E=-\nabla U -\dot A [/math] . What I am doing is examining and exhausting the electrodynamic essences in an essentially DeBroglie wave interference of two "closely placed slits". My friend solidspin agreed that there is a "change in quantum phase" equally to electron fields passing on top or, oppositely, on bottom of a magnetized whisker in between and after the slits, but he thought this was not directly tied to momentum change. I am not convinced of this yet, but we can agree there are no net electrodynamic forces. What I might offer as a semiclassical bailout, or picture, is that the lower electron is being slightly repelled, coming and going, so that its momentum is lower at close approach. This is associated with a longer wavelength DeBroglie wave, and the opposite is true of the deflection on the upper path. If I am correct, this corresponds to the phase shifts called for from quantum potential theory. If you looked only at the dipole electric interaction you'd think the electrons deflect downwards but they don't! We must admit to semiclassical language because we really consider the field of one electron passing through the system. I can say the semiclassical picture offers no field interactions to bend paths up or down, but the waves propagated through the two slits show a shift of interference probability upward, on a vertical screen of detectors on the right.

Thank you Farsight, I look forward to reading your ideas. I have reached a very cool conclusion about the solenoid fields experienced in the electron's frame of reference, passing by. We know that no fields are expressed, basically, in the lab frame. The electron does "see" a charge-field such as I described, on the near and far sides of the whisker. I calculated also the electric field due to the passing and changing A-field. Picture the circles of constant A, centered around the solenoid, and passing by your reference point. Once I got the vectors and integrations straight, this electric field: [math]E_A=-\dot A [/math] works out to be equal and opposite to that figured from the electric dipole potential. There is a factor of two but I think that's from the dipole strength involving only the x-components of the current in the loops, while magnetic flux feels both x,y-components. Thus the net electric field is still zero! I find this fascinating.

Farsight, I said BINGO because the vector potential outside of a long solenoid is 1/r. Such a form of far-field is "path-independent", like if you consider larger and larger circles. In the electron's reference frame, I start with an electric dipole moment in each slice of the solenoid, integrated through the stack. This similarly comes out to 1/r in the far and so the difference between electrons, going by on top and below, is described by a loop integral which is determined only by the sources inside the loop, which is the solenoid as described. Thus one can figure the QM phase as either the electron moving through an A-field, or in the frame where it is at rest, the solenoid and its fields coming past. In the latter, the term [math]A\cdot ds[/math] is zero since ds describes path movement of the electron. We come out with the same phase shift generated by the scalar integral. . . . . .I still am mystified about the L-transform. I can say that I understand electric fields coming from [math]-\dot A[/math] .

What is "stupid" is not asking questions. I've been wondering about the role of the polarizers in the detections, whether their role has been fully accounted.

The conclusion of the Aharanov-Bohm paper gives tantalizing teases. They informed me that the vector potential term in the momentum operator comes out working like an index of refraction(!!!) and use the word superconducting in their last line. In my photon paper I discovered that if there are wave packets with Gaussian localization, this implies a superconducting response of reaction currents, identified as the first term in: [math]j=(-\lambda^2 +\rho/U)A[/math]. . . . . . As far as the dipole field I just cooked up, it seems spooky because there were neither electric or magnetic fields of significance in the lab frame, outside of the solenoid. The usual sense of Lorentz-transform of fields sources E's and B's into each other locally. Hmmm.

The point is that in the electron's frame of reference there is an electric dipole field from the solenoid. I wouldn't go so far as to critically say "crap" because Quantum Mechanics successfully psyches out so much phenomonology. Furthermore I have learned to work primarily with the 4-vector potential as opposed to E- and B-fields. This fascinates me because both perspectives seem to be needed. Any loop current (including that of a particle magnetic moment) manifests a dipole electric field under Lorentz velocity transform. Farsight, have you read of the vacuum being considered as purely electric? Talking this past winter I challenged Puthoff who still figured virtual manifestations had to have spin to transmit magnetic forces. I think not but am still working to picture or mathematically command the Lorentz transform of the virtual medium. . . . . . . . . . . What I have presented hangs together nicely in terms of path integrals and "phase" but I do not yet understand implications of momentum. This field picture yields an impulse downwards and yet the interference pattern shifts upwards. We are still doing wave mechanics here, with double slits for starters, then with wave function phase. I am creatively confused.

The farfield of a static electric dipole goes as [math] r^{-3 }cos\theta[/math]. Thus its potential goes as [math]r^{-2}cos\theta [/math]. When we integrate this source field "up and down the solenoid stack", another order of r is reduced and we have an [math] r^{-1}[/math] dependence just as we do from a "solenoid" vector potential... Once you know you have this form, the difference of the integrals of paths above and below are the loop integral and are dependent only on the internal source. B-B-BINGO, you can look at it as mystic QM, or you can see it as electric force transmitted through a purely electric virtual vacuum field.

The Aharanov-Bohm effect predicted the phase-shift of electron interference patterns from a split beam passing either side of a magnetized iron whisker. It is supposed that there are no magnetic fields present outside the solenoid, since we can make them arbitrarily small with a "longer" solenoid or whisker. I claim we can Lorentz-transform the problem and show that in the electrons' frames of reference, what was a charge-neutral stack of circular current (solenoid), now has an electric dipole field which clearly acts on the passing electrons! Consider a slice of the solenoid looking down at the circle. We assign current circulating CCW, and consider electrons passing below and above the circle. The B-field implied inside the coils comes upward "out of the paper". The electrons move at relativistically 'low' velocity from left to right. At the lower part of the loop, there is positive [math]j_x[/math] while current at the top points in <-x>. When we transform the source 4-vector, we develope charge densities of [math]-\beta\gamma j_x[/math], while the [math]j_x[/math] itself gets multiplied by [math]\gamma[/math]. The point here is that the charge density is negative on the bottom and positive on top. Thus there is developed a net dipole field which pulls down electrons above the circle, and also pushes down those below. If my calcs are correct, then what was usually expressed as a quantum phase change of [math]q/\hbar \int A\cdot ds[/math] can also be figured from the expression of the electric dipole field, since scalar potential gives phase change of [math] -q/\hbar \int \Phi dt [/math]. The vector potential term is the total flux contained in the stack (and in each loop cross-section not near the ends). The scalar integration can be done for one loop and then integrated up and down the stack for the total contribution. These are coming out the same within a factor of [math]\pi[/math] or something like that, having to do with the characterization of the dipole moment. This will remain with an arbitrarily small diameter for the same reason that we demand a certain magnetic flux even as we shrink the whisker. Both are proportional to current and diameter.

Richard, now describe the topology of folds or points on each corner.

This time Nature is being more demanding and testing me. The diagonal terms in the stress-energy tensor contain [math]B_\theta^2, B_r^2[/math] which have [math]\theta[/math] dependencies, even in the far-field sum. Thus I must come up with a more involved metric tensor in the near field and the original Reissner-Nordtsrom form is not sufficient here. Furthermore there are off-diagonal terms which must be matched by further Christoffel symbols in the construction of the Einstein tensor on the LHS. You'll find me in my dunce corner. . . . . .I am wondering if I can approach with the Kerr-Newman metric. There we have an angular momentum term, and I certainly can identify that in my field. In fact this could be most interesting against the observation that the Minkowski tensor terms reflect only fields, whereas the mechanical stress-energy tensor part accounts for usually masses moving, with terms like [math]\sigma v_a v_b[/math]. Electromagnetically I can make a statement in sources, as opposed to fields, that momentum density is: [math]\rho A_\phi[/math] and that angular momentum is the appropriate projection of this. Is anyone out there hot on the Kerr-Newman metrics?

I vizualize all the scalar-longitudinal field modes in my photon study, including magnetic backstraps in the propagation direction. Here with napkin-folding I guess I'm just "incredibly" stupid. Sigh.

Lakmilis, why do you say this about uncertainty? If you take only my inhomogeneous constructions, like the photon, you have part of the story. I am about to travel to New York to meet and work with solidspin, who finds my thoughts useful in his nonlocal construction of the photon position op. It is in this vein that I asked earlier about superconducting fields. I do not yet know how these things fit together, but it is a perspective with which to talk about the QM virtual field, no? This is where I feel we should be poking. . . . . . . . . . If we have a field description of a packet, does this contravene uncertainty? To have a description is not the same as to know the interaction or measurement possibilities.

Thank you so much, Erich. One of the articles I read mentions phosphorus contents in Amazonia which probably came from fish. So I'm seeing prepared beds of slow burn, and one hell of a fish fry. Here's another piece on pyrolysis: http://enviro.org.au/enews-description.asp?id=742. This article says the terra preta was built up over thousands of years.

http://www.css.cornell.edu/faculty/lehmann/terra_preta/TerraPretahome.htm

Large areas of soil in Amazonia have high carbon content hundreds of years after people deliberately built it up, and it offers great fertility. Check out the excitement around charcoal: css.cornell.edu/faculty/lehmann/terra_preta/TerraPretahome.htm , and add the usual first http stuff.

I'm reading in Scientific American about the jatropha shrub from Africa being biofarmed for its oily seeds. It grows on fairly dry land. I'm also going to start a thread on terra preta, charcoal as in Amazon lands. Regarding your processing, I watched someone doing this for a few months with restaurant oil. I thought he just did some filtering, then heated out the water. Then there was a lime-added breakdown. There was some minority faction left at the bottom...

Yes, Lakmilis.

'Tis a wise person who knows theirself.