Norman Albers

We have brilliantly jumped through hoops wringing quantum electrodynamics from homogeneous field theory. When you read a text on QED, you are taken through the Fourier transform of the system of Maxwell's equations. In k-space, many things are simplified. Differentiations become multiplications, divergence becomes a vector product with the k being considered as independent variable. We find that a linear combination gives "normal modes" which are essential reductions. Then comes the weirdest page in the book, where we are taken over into quantum mechanic formalism and constructions which have the same forms as the electrodynamic expressions. I am not being antagonistic here. I am saying there are things unfinished. I work with a right-hand-side source current, where we usually put zero, in the normal mode equations.

I have a colleague, on this forum called 'solidspin', who just this week gave me a very positive response when I asked if we could possibly sense an alternating charge density sheath by getting interaction with an attosecond laser in the field of a lower frequency photon. He thinks this is reasonable since these sorts of things are being done in his area of physical chemistry. He said they are looking at molecules in their transition states, which is pretty exciting, no pun. As far as your thinking and mine, the concepts of superconductors and also of Lorentz invariance are important. My colleague also made a comment I intend to pursue with him, that there is physics of interest at the Planck length...

We have for a hundred and fifty years or so worked with the idea of the vacuum having polarizability: [math]\epsilon_0[/math] is the 'electric permittivity of the vacuum'. Ideas about an aether medium failed because they were not Lorentz-transformable. This means that physics is the same to different observers in relative motion, so this 'medium' is more subtle than any measurable mass or energy. The term I like to use is dipole availability, and if there are wave packets such as I analyze, it implies the vacuum is responding like a superconductor. Where there is a changing magnetic field (dA/dt) there is a displacement current and resultant charge densities, and these I describe as a sheath. Our classical theory of light allows no buildups of such charge density in the 'vacuum' and so it fails to describe anything but spreading wavefronts or infinite plane waves. If you diagram electric and magnetic fields in plane waves from Maxwell's equations, consider the displacement current identifiable as dE/dt. Where does it go? . . . . . For a possibly useful metaphor, what can a fish know of water? If it is not a leaping fish or a bottom feeder, it does not know or even exist in the absence of water. Surely fish know all relative changes in water: temperature, salinity, etc. I see the vacuum medium like this; it is the warp on which light and mass are woven. To your question about massive particles, Kalster, Google on 'wave packet' and you'll see plenty of such discussion. I'm not yet conversant there, however, which is why I seek exchange with other folks.

I have finally solved the exact result of the Fourier transform of the wave packet I study in my paper on photon localization (cache listed below). I represent a Gaussian form in three dimensions of falloff over "many frequency cycles" by starting with vector potential in<y,z>: [math]A_y= A_0 cos (k_0 X) e^{-a^2(X^2+y^2+z^2)} [/math] where X=x-ct, with the assumption that [math]k_0>>a[/math]. This means the falloff of envelope is of many cycles. The dimensionless constant a/k is presumed to be the fine structure constant. The difficult part of the Fourier transform is the integration over x, since it contained in both terms (X is the co-moving center). I speak now only of the form of the [math]k_x[/math] terms in the expression of the transform, since the other integrations are simple. Leaving out the coefficients and a page of development, the essence is: [math] \int_{-\infty} ^\infty dX cos[(k_x-k_0)X] e^{-a^2 X^2} =\frac{ \sqrt \pi}{2a} e^{-(k_x-k_0)^2/4a^2} [/math]. This can be seen as a generalized delta function, since in the limit of small a it becomes a true delta function. This can be clearly seen if you go back to the original expression which has in the integrand: [math] cos{(k_0 X)} cos{(k_x X)} [/math]. I would appreciate comments from people who are familiar with wave packet construction in quantum theory. I was taught a similar idea starting from the idea of a 'momentum spread'. We can see here, the width of the frequency spike is where [math] \Delta k /k = \alpha [/math]; here the argument of the frequency comb is rapidly decreasing the term.

Just before my system got trashed I assured myself I had saved all the papers and personal stuff I needed. Then I erased every file, paper, picture or anything of mine I could identify. Then I wrote one new paper in MY DOCUMENTS, titled 'Important Work'. Inside it was titled "Chinese Pigs" and the text read "Chinese pigs eat dung". I figured this was the only thing left on my system for my supposed hackers to read. Now for those politically sensitive folks who don't wish to face truth, my rather pacifist brother sent me in the mail a copy of the COLORADO DAILY, June 12, saying, "CONGRESS COMPUTERS HACKED BY CHINA... Lawmakers allege dissidents' info sought". My my, you mean there really are such forces at work in this world??? I think so, and I think they work against the interests of the Chinese people. Congressional representaive Frank Wolf said that "following one of the computer attacks, a car with license plates belonging to Chinese officials went to the home of a dissident in Fairfax County, Va, outside Washington and photographed it. During this time period the House International Relations Committee - now known as the House Foreign Affairs Committe - was targeted at least once..."

Thanks Swansont. Thermo is one of my little dyslexias. I wasn't thinking clearly about the flow of the heat of vaporization. If the 500 W can transfer two or three times that much heat energy (typical performance, yah?) it could be several pints per hour. I shall measure! It sounds like the total heating of the room is 500W plus the heat of phase change. Running my dehumidifier in my house at 55% relative humidity and low morning temperature of 20 C, there is only about 2/3 pint per hour. This seems low on a 'coeff. of performance' level. Only half the input energy spent (500 W) is yielded in water condensation. Given a price of ten cents for a typical daily run of three hours. I can still appreciate the dehumidification I must have to work on and rebuild acoustic pianos. They are very large humidity gauges. I do not want to snug about 300 screws to see the RH go down by ten or more points. Some of the hammer flanges will then click when the hammers strike. This, not to mention the soundboard and bridges. This dehumidifier I direct into the main space of my 1100 square foot home, leading out from the shop room. I have learned from this discussion that there is more heat put into the system than I realized, and this helps me figure the best habits about airing the house at night, and about achieving the control I need with a little heating and dehumidifying, and then some AC with a 500 W air conditioner upstairs, which cools but also takes out water vapor.

This I wrote today to my friend 'solidspin': You force me to quote once more from the DREADED LITTLE GREEN BOOK (Cohen-Tannoudji): "For a real harmonic oscillator it is well known that the fundamental commutation relation [math][x,p]=i\hbar[/math] prevents the simultaneous vanishing of the potential energy (proportional to x^2) and the kinetic energy (proportional to p^2). The lowest energy state results from a "compromise" between these two energies, which vary oppositely as functions of the width of the wave function. One understands then why the ground state has an absolute energy which is not zero, [math] h\nu/2[/math], and why in this state the variances [math]\Delta(X)^2[/math] and [math] \Delta(P)^2[/math] are not zero." There is then a bra-ket exposition for the value of E^2 in the |0> state. "Thus the q. theory of rad. predicts that even in the vacuum there is at every point in space an EM field with zero mean value and infinite variance." Two pages later, "The presence of a field fluctuating very rapidly about zero in the vacuum suggests interesting physical pictures for the interpretation of the spontaneous emission by an excited atom and of radiative corrections such as the Lamb shift." SELAH... 'SAWA Anyone interested should check out the article in the July Scientific American on the 'Self-Organizing Quantum Cosmology'. I lost the mag. in the coffee shop but the article is important. These folks are constructing a geometric spacetime on simple geometric ideas, and coming up with a system that does not have the pathology of current theory on vacuum energy.

I am confused about the energy exchanges here. If we were not collecting water from the cold coil, the device would simply spend its 500 W heating the room. How much of this input can be used to condense water? If there were total efficiency the output would be 5/2.9 pints per hour, 1.7+.

I have a practical thermodynamic, engineering question. I run for a few hours in this season, a dehumidifier in my home and piano shop. If we ignore electrical inefficiency in the motor, are there thermodynamic exchanges heating my house with some fraction of the power (500 W)??? You might be surprised at the heat of vaporization of water, the fact that a pint (a 'pound') takes one thousand BTU's to change phase. I calculate this to equal 0.29 kilowatt-hours. My unit consumes half a kilowatt. I could measure the output in pints per hour, but what are the thermo considerations?

With apologies and much egg on my napkin I report a much different numerical calc. for the temperature in my fractional photon model. Having left out another multiple of Planck's constant (as you see in the blackbody spectrum and its totals) now I get a characteristic temperature of 75 Kelvins. So the dark energy universe is not hot pink, but rather dull infrared. It is a consolation that my friend solidspin is excited by this as he can access this range in his lab work. I am having fun teasing him by saying, these are not photons, but rather the fractional fluctuations thereof. They are the shmanta, as in 'quantum, shmantum'.

Scalbers, that first paper says outright that it treats the vacuum as a negative energy Dirac sea. The second paper has a wonderful cast, Dirac, Dicke, Zel'dovich, and again Weinberg jumping up and down; I love this. As we are already in Speculations I announce a tentative result involving my paper on Photon Localization and Dark Energy. The last section is a statement of an equilibrium distribution according to Boltzman statistics, of fluctuation states of fractional nature. If I put in a total energy density of three times the current mass-energy density of the universe and solve for the implied temperature, or characteristic energy, I come out with 4 or 5 GEV. This is tantalizing as it is just above the energy of hadron synthesis. I predicted that this part of the field would have decoupled at some crucial level.

Good stuff, scalbers. Blending the regimes of solution demands subtlety. Happily though, for me, the physics of the vacuum is lately more and more in our face. When the rate of expansion ceased to keep falling, contributions of the two realms were becoming comparable. Now I figure they are passing through, numerically as you cite, if I understand: mass-energies are a third or so of the vacuum energies. Am I not in the company of P.A.M. Dirac to picture the vacuum as a field of negative energy?

A middle epoch of expansion with little pressure, but thinning mass-energy, would be characterized by the Friedman metric. When these terms became comparable to the vacuum fields remaining per volume of local space, then the second derivative of R(t) went up through zero. Now it is above zero. I propose the late state we now inhabit is characterizable by the DeSitter form. The vacuum is characterized by [math]\rho = -P/c^2[/math], with positive pressure but negative energy, and the Hubble constant no longer changing as it earlier did.

You say 'nothing else'. I say 'opportunity'. [math]\frac {4\pi G} {c^2} (\rho + \frac {3P} {c^2} ) = \Lambda - \frac {3R"} {c^2 R} [/math]. The clinker here is that [math]R"[/math] was supposed to be negative in the decelerating Big Bang. In earlier epochs, it was.

Do you think the preference of polarization of the matter field extends to the vacuum itself 'hereabouts'?

Thanks a lot, scalbers, I am downloading that second paper. It seems to me now that the mixed-index expression: [math]{g^a}_b [/math] is the identity matrix by definition, as we define: [math]g^{ab}[/math] as the inverse of: [math]g_{ab} [/math].

Simply describable, as far as we feel we need to, but bearing the necessary potentialities. "A FEW CONSTANTS, AND A FEW GEOMETRIES".

I have used, as a common generative idea, the idea of 'vacuum' space as necessarily an availability of polarization, which is to say polarizability. This is certainly 150 years in our understanding, to a point (sic), but for me it yields both localized (and thus possibly quantized) photons, and electrons. Furthermore, we can see gravitation as the scalar thickening, relatively speaking, of the vacuum availability. I figure all the higher energy states (mass or whatever) follow. I guess, to me, the game is to represent what is as the genesis from common field. Now when you figure the Schwarzschild radius of an electron, you're looking at 10E-57 meters. This says to me that things in the small must be modelled basically as having much attitude as far as spin, which is the only thing common in all quantum mechanics, and as far as charge. So far I have no need to go deeper, but what the <bleep> do I know?

I am just at a sufficient level of learning to be conversant as to the issues here. What I am seeing are major different phases where the Einstein field equations are appropriately cast with different terms. Soon after inflation there are very high energy densities and pressure; then there are high mass energy and radiation densities with pressure; then radiation decouples, at least the quantized portion of it. Subsequently, pressure interactions become less and less important. Then at a later stage, the mass becomes so spread out that we get into the state I am trying to speak to, where the vacuum itself becomes a dominant player in the balances. Thus the equations will be written in different regimes of smooth transition, if this all hangs together. Can anyone tell me about circumstances under which the mixed metric tensor, [math] {g^a}_b[/math], is anything but the identity matrix?

Good one, antimatter. I forgot to offer my punchline. Having saved all papers and files and personal stuff I ran 'er down into the endgame. The virus had been trashing many download attempts, but, importantly, last Saturday the new version of AVG 4.8 came out and I got it, on FileHippo, surprisingly. Running it took out many of my system pages, so I just hooted and went for it. Take it down, dammit! After one day I am really liking my Apple rig. A couple of years ago I wore out the 15-inch speaker cones in the woofers of my keyboard speaker rig. I can put out kb bass seriously, and love the Toyes working out in "Strange Animals". Well, after a decade in the bars, and another decade plus, my second hand speakers finally started shredding. So I howled, turned up the bass (200watts) and watched them shred before my very eyes. It was f****** cool, sort of like the rending of the temple vail when old J.C. was hangin' up. Every working musician deserves to get to do this once in life.

Yah, I'd never had popups and am just learning all these different little perversities. The bogus spyware being touted to me was SpyCleaner and the warning pape that wouldn't go away was a 'mywallpaper' which is listed on google as a bummer. You can't get to the root that puts it right back into WINNT if you DELETE it.

I just sent this to my brother: Alright, S'crunch, you may not want to go here but here is the truth. I just spent a while talking with my ISP. He said four times a day they have to clean out attacks which are 80% from China. I mentioned that for two years I have been ceaselessly dunned by spam for Anatrim, and for Canadian Pharmacy, none of who wrote good English. I finally deduced that these are the hackers. He said, exactly! Then I explained how after publicly cursing the forces of reaction in China I was hugely violated with a bogus and aggressive 'inside job', which included popups of Liu-liu as I described, along with a page for Anatrim. He nodded and we commiserated. Do not ever discount my emotions. I trust them to put me to necessary motion. Most people are not one with themselves, and most people do not interest me. ALBERSAWA

The CP-violation as observed in cobalt nuclei decay gives a strong preference for the angular momentum of the ejected electron to be opposite, in a right-hand sense, to the velocity vector. Do you think this is attributable to the happenstance of the particles existing hereabouts, or is it a characteristic of the vacuum per se? This would pertain to decay of antiparticles we observe.

I have no generalized hate and am tired of being characterized this way. My system was hacked to death and I address you now with my new Apple system, only $700 for the mini-brain. Screw this nonsense. I hate my hackers, who invaded with an unchasable (mywallpaper virus) bogus warning sign, popups, and a repeated page all in Chinese characters headed, in English, Liu-liu.com. They also included, tellingly, Anatrim, Canadian Pharmacy crap, which I have been dunned with for two years. I think I connect these things correctly but it does not really matter. I let them play their stupid game, and having saved my papers and contacts, let it go to the endgame. Now, hopefully, I am free.

There's no problem here in the basement. Speak up, please!