Norman Albers

High energy stuff: 1,700 and 2,000 GEV are cited by theories with extra dimensions.

Recently solidspin wrote to me: consider a planar graph of <ct, x>. We can consider the light-cone, etc. Now "just expand in your mind" the x to the three spatial dimensions. When you have spent enough time in 4-space, these things make sense.

Thanks for the xplaining, solidspin. It sounds like the frequency response gets higher as you muster stronger B-fields, and also responses get stronger?

Yeah boy, at best PHYSICS IS ROCK AND ROLL. Mama, don't let your babies grow up to do physics. They'll fill all the blackboards with quantum mechanic statistics.... Better lyrics. solidspin, it would be nice if you didn't have to scan all the way to 100 GHz with old equipment. Three millimeters is short stuff.

Yuri, I love your motivating spirit. I suspect quantization stems from localization., and I remain to be convinced that current quantum probability theory says all we can know about IT ALL at the vacuum level. [[ ajb, once I ragged my friend 'solidspin' saying, "Jeez man, what do I have to do to satisfy you, integrate over just the irrational set?????"]]

Superconductivity, yes indeed. http://www.scienceforums.net/forum/showthread.php?t=25048&page=3 , post#45. Where the radial SOL becomes imaginary there is not propagation. As radius approaches the GR angular momentum radius 'a' (a laboratory-scale dimension) the imaginary parts go to zero and one sees a small negative real speed of light. I interpret this as a superconducting state. In the GR theory [math]a=J/Mc [/math] and so this dimension, like its cousin the Compton wavelength, is inversely proportional to mass. Quantum mechanics shows that angular momentum J is, in all energy realms, quantized to some multiple of [math]\hbar/2[/math].

I'll guess "yes" with danny..., along with absorption in the disk. It should be somewhat like my "fizziks" thread of reflections in the window.

The Kerr solution is already "complexified" as I noted on 12/29/07. By applying the Eddington transform to the Schwarzschild metric we get a degenerate metric form. Running this through the GR field equations we see one result constrained by LaPlace's scalar equation: [math]\nabla^2 \phi=0[/math] . We know this has the solution 1/r, (as well as an arbitrary constant) and we usually center circles at the origin. In fact a circle at any center satisfies the equations; look at: [math]r^2=(x-a)^2+(y-b)^2+(z-c)^2[/math] where <a,b,c> are arbitrary constants. By allowing one of these constants to be imaginary, the equations, worked by Kerr in 1963, yield the angular momentum solution. His original form is interesting as it acknowledges [math]\rho[/math] but uses rectilinear coordinates: [math]ds^2=(dx^0)^2-(d\sigma)^2 -\frac {2m\rho} {\rho^4+a^2z^2}\left [dx^0+\frac{\rho}{a^2+\rho^2} (xdx+ydy) +\frac{a}{a^2+\rho^2}(ydx-xdy)+\frac z \rho dz\right]^2 [/math]. Try as you will there is some combination of cylindric and spheric coordinates needed; once I explored cylindric representation but nothing became essentially simpler. The coordinate transforms we often read are the forms necessary to create a fully axially symmetric form of the metric. In my paper I analyze locally the implications for apparent speed-of-light in the "external" Cartesian coordinates. Merged post follows: Consecutive posts mergedAfter expressing my frustration on 12/27/08 I should have also said that JMP did recommend me to the Journal of Classical and Quantum Gravity. They are reading the paper also. If there is interest I shall take up the offer of my colleague solidspin to let him co-author introductory and other structural elements to a more complete treatise. I could not summarize a field I did not know existed three weeks ago.

I have never seen a singularity as strange and abrupt as that shown near the ring of z=0, r=a. . Inside, the physics of light propagation is rather "flat" except near the origin of r=0. It is like inside the eye of a hurricane. Examining this "wall" from the outside, light-speeds drop through zero, as near an event horizon (though not the same in details), but on a scale of the Schwarzchild dimension, 2m, near r=a, become imaginary, except that in the final step, become -1. This is the nature of the singular ring approaching from the outside, but there is an essentially discontinuous nature built into the solution. I am just reading of the work of Burinskii and others, who have indeed created a complexification of the mathematics, as is clearly called for! When I have something intelligent to say further, I shall. MolecularEnergy, what do you know? I worked out the details of approaching r=a from the outside and it is weird. The statement above about approaching unity is wrong. The radial form ends up being a small negative real quantity after coming down from an imaginary asymptote. This seems to me characteristic of the superconducting state, a negative reflection. Propagations in z simply blew up asymptotically in the real range. Those in [math]d\phi[/math] went through zero and limit at -i, in the imaginary range. The small negative real residue of [math]dr/dx^0[/math] is equal to 2m/a and is thus roughly E-44. This is dimensionless, as [math]dx^0=cdt[/math]. This must be a fundamental quantity characteristic of the vacuum. Observe also that a superconducting ring is a quantum of magnetic flux. [Did someone say "circular currents"?]

Tone color is the specific mix of frequencies that a certain instrument creates. Pluck a guitar string at a different point, nearer the bridge, say, and you excite a particular set of harmonics. Closer to the center you pluck a more mellow tone with fewer high harmonics. Instrument such as the piano have notable inharmonicity because the strings have notable thickess. This spreads apart the otherwise numerically exact relations I mentioned above, where octaves are exactly twice is frequency. This is why two pianos of different lengths cannot be played together. Once I tuned a nine-foot (!!!) grand for a George Winston concert. The last piece in the first set was a duet with guitarist Will Ackerman. Most unfortunately he tuned his guitar a little flat compared with the piano's midsection. The fact is the upper octaves on the piano are quite a bit higher that 2,4,8, 16. Oppositely, guitars have thin strings and much less inharmonicity. They sounded terribly out of tune, and everyone heard it. I spoke to Winston backstage and he tried to lay it on me. I immediately checked the piano and there was nothing out of tune. I wrote him a letter. These are the hassles of high-line work.

I talked about these things in a 'thermo' thread, but right now I have an attached two-car garage which is fine for one car and some firewood and many tools. I also have to store a player piano, quite valuable for my rebuilding. Until outdoor temps went down into the 30's F, the garage was not so cold that I could run a dehumidifier (500W). Below 57 F it does nothing. The last two days have been unseasonably warm so I shared heating with the garage until I could get the dehumidifier to run, as I just said. When it's too cold the unit is still running and sounds like it's trying to work the compressor but no water comes out. I turn it off and pull the airscreen and look at the cooling fins and do not see ice. It has a thermal sensor. My question is what is happening in the compressor and will this damage it? [There are quite a few hints I could give if the OP is still around.]

A deep and cool subject. I have practiced piano tuning and rebuilding for more than thirty years. The real-life answer depends on what instrument you are trying to refer to. All have differing scales and inharmonicity. We can also talk in pure scales, with like A440 Hertz, and C is 523.3 if I remember correctly my C-fork. The equal temperament divides the twelve notes of half-steps in one octave, into equal fractional changes. An octave is a doubling of frequency (half the wavelength), so each half-step is multiplying the frequency by the twelfth root of two. This is close to 1.06. Go mulitply. NORM ALBERS, PIANO TECHNICIAN

This discussion is moving, as per current developments, to the 'reissner-nordstrom..' thread.

I am not greatly surprised that the Journal of Mathematical Physics decided after three days they do not need my paper. What I find not acceptable is their statement that this paper is 'not sufficiently mathematical'. I told them this is an offensive statement., but, more to the point, stupid. [The Russian JETP is still reading the paper.] Mama, don't let your babies grow up... to be physicists. They'll... I need help here with lyrics. . . . . . . . . . .There are different realms of mathematics; there is a commonly enjoyed realm of decency, or not.

I am sweating through last minute mistakes and proof-reads. Check my cache tomorrow: http://laps.noaa.gov/albers/physics/na . I welcome your observations, MolecularEnergy. I enter this study from the standpoint of someone visualizing the angular momentum alone, at the moment. The Reissner-Nordstrom solution of the charge-induced electric field adds its own physics but at a smaller radius, I think characterized by E-23 meters. Also, as I have indicated, one of my goals is to show how inhomogeneous presentation of circular currents and charge density eliminate the embarrassing orders of infinity. Whatever, a funny thing happened on the way to the theory, and right now I am seeing the interaction of GR with quantum spin to be the current item of business. Angular momentum, and then charge are the essential core of quantum theory, to my reckoning. Look for the paper in my cache called "Kerr Electron", not the earlier "Electron Field Solution ..." I shall add results going up the z-axis, soon. I don't see anything surprising though at first I thought so. You have to analyze carefully where both parts of a fraction go to zero. . . . . . .time passes. . . . . . . . yes there is little change here, and this bespeaks the opening of the lotus when you expand the two inner lobes of the null surfaces beyond a>m. The field folds outward ending up in the extreme as I am trying to describe. Now that I know what I am looking for I see some people do speak about the ring structure I have elicited: http://arxiv.org/abs/hep-th/0507109v1 I want to send my paper to A. Burinskii. Can anyone help find an email address for him? Thanks to Severian for supplying an email for Burinskii. I hope he replies; he has done good work on this issue and is dissed by many. The Journal of Mathematical Physics is reading my paper. I don't think I have done anything really new but I have presented a clear discussion of the nature of the most amazing ring structure that previously I did not know anything about. One writeup I think used the term "heterotic string". Burinskii answered and kicks me forward with one of his papers. My joy is extreme. Thank you again Severian. He says yes, understand the coordinates and move on to the Kerr-schild complex solution. I wrote to him 'Yes the argument of the square root becomes negative!', like inside a black hole., where I ask is this not like "collapsed dimensions?" Where we assumed there was propagation of EM energy, here there is absorption as we see in the permittivity becoming imaginary.

Yes! I know what you are saying up to the last paragraph terms and think I see what you are saying. "degrees of freedom" is indeed what I am thinking. What do you mean by "whole phase space"? This sounds optimistic. I do use the term "phase space face place" to refer to the UNIVERSE. I just wrote to Burinskii: Inside BH horizons I ask why is this not saying propagation in the transverse dimensions tangent to the sphere are severely attenuated, which might be to say "curled up" ?

Could "dimensions" be in an unrealized dynamical phase space?

That is what persuaded me about Obama's maturiy. In answer to McCain saying "no" to discussions with blacklisted countries, Obama listed four major episodes of Republicans doing so with strong results. Yesterday I had a consultation with a lawyer for help resolving a land partnership dissolution. He told me a good story of a previous case where the judge acted between the two parties in a most unusual way, going actually back and forth acting as an auctioneer. This was supposed to be the function of a mediator elsewhere. It worked and they nailed an agreement <!!!> Y'all can add whatever you want to. I really care nothing for G. Bush. I care for the present and future of American autocar manufacture.

Electrons are certainly not black holes. Their Schwarzschild dimension is about E-57 meters. All their mass-energy would need to be localized on this scale. I am investigating their nature as singularity. When you solve the massive case, say for a rapidly spinning stellar mass, the angular momentum radius is less than the Scwarzschild dimension. If it could become comparable, the inner and outer singular surfaces merge and there is an opening outward. This implies, however, relativistic velocities of the mass. The investigation I am doing has parameters the other way around. I will offer my paper today or tomorrow. Kerr electron: I have completed an analysis on the first level of GR applied to electrons as angular momentum (AM) sources. By this I mean a mapping of the transformed, axially symmetric coordinates often expressed, back to Cartesian "lab" external coordinates. For now I have covered the expression of null geodesics in the plane z=0 , both inside and outside of r=a. This will be available at the http below in my signature.

For certainly a half-year I've been hearing ads for the Chevy Volt?????? Seems like nuclear fusion... coming soon to a tokomak near you.

Hummers as collector items. HONEY, CAN WE CLEAR SOME SPACE IN THE GARAGE?

A toast! To toast.

And they have not sought such loans. HONOR where due.

We should honor President G. Bush for calling the American auto makers "failed companies". This is one of the only intelligent things I've ever heard the man say.

Fun stuff. We mathematicians are somewhat shameless. Two and a half points for a mathematical physicist.