Norman Albers
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Are we depicting a scenario with equal potential levels on either side of a potential hump of "relatively small" spatial extent? If that's so then are folks speaking of a temporary "borrowing" of energy"? I am slowly getting accustomed to dealing with the vacuum as a sea of fluctuations. This is part of what you're missing when you think classically. Reading sources I recall that probability amplitudes do depend on the height, which could be, say, a voltage repelling an electron, and that there is exponential falloff in the width of the "wall" region. How do we represent the wall potential for an insulator? <I took out an initial question which was confused.>
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What do they do inside those reactors, or inside those accelerators???
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Basalt crop circles? I don't know..
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It's cool if you can lasso idiots into the number we got played on us after two weeks of Boy Scout camp. Convinced we were chanting important words of Native American masters, the first-year guys got in a row in front of the campfire on their knees, holding up their hands in supplication, and repeated after the leader, slowly at first: "Oh wah... tagu... siam. Oh wah... and then speeding up, to a sudden profound realization...
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Possibly some sort of fragment?
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I wrote four lines of energy equation, identifying vertical velocity which changes, and horizontal velocity which does not. The clue about being halfway up can be expressed simply in terms of the square of vertical velocity, yah?
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There was a good Dilbert cartoon where he is in an utter panic about having to address a convention audience. He wigs out completely, thinking, "I'll pretend I am from Sweden and speak only Swedish." At the microphone he says, "Morna, lorna, corna, dorna." Es brillig war. Die schlichte Toven Wirrten and wimmelten in Waben; Und aller-mu'msige Borggoven Die mohmen Ra'th' ausgraben. (I hope to learn umlauts and upside-down question-marks.)
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JohnB, Is this where the meteorite blew down miles of trees?
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Pardon me, YT, I thought you were talking white-nose sunblock. OK, Phi, perhaps real life trumps: this is a true story, and my brother met the astronaut who created it, working at JPL. It seems this astronaut was clear on what he wanted to be as a youth. One day when he was 11 years old, he heard his neighbor and wife arguing loudly with the window open, the Gorski's. The wife screamed, "I'll give you <oral sex> when that kid goes to the moon." When he actually stepped out onto the lunar surface, he exclaimed, "Good luck, Mr. Gorski". The CIA was in an uproar but he would not tell anyone who "Mr Gorski" was.
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Physics is the discussion of the forms of energy.
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Wave packets, anyone?
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In 1968 or so, I worked summers in the Grumman Engineering machine shop on Long Island. I mean, aircraft machine and assembly plant! I drilled holes to make the lighter honeycomb for simple things like cockpit laddrers. Then, there were many weeks making parts for the lunar lander being assembled in the white room a little ways away, on the other side of the large TCE degreasing tank in this very large assembly plant. I created and tested connectors with sixty pins, used in the gantry tower for information connection. I do believe these suckers actually got there and came back, unlikely as it seems. Ten years ago here in Oregon I met a somewhat (?) crazed Southern Californian guy who had been in the aero industry down there. He swore that after the first few lunar missions, the rest were faked by the media. Well, what do I know???
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I do not need to get involved in specifics. Two months ago I serviced three pianos (tuner/technician) at the Medford, Oregon Veterans Administration Domiciliary. My contact, the recreation administrator, said there are many soldiers there who were near a blast concussion and who now suffer voids in their brain tissue. I pray for healing.
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Two of the funniest moments I know in all of cinema, aside from W.C.Fields trying to aim his pool cuestick, involve little old white-haired grannies. The first you may remember from Airplane, when the two Afro dudes are conversing (every tenth word is sheeeeet) and people are searching desperately for a pilot. The little old lady walks up and announces, "I speak jive" and proceeds to tear the place up with the brothers. The other scene that I doubt you have seen is in, I think, a Czechoslovakian film. Key here is the slow pace of the camera, taking in half-minute vignettes of conversations at a cocktail party as things get rolling. Two people saying this and that, then a small group; then the view moves to the center of the long sofa, and there is room behind it to walk. White-haired Granny strolls into view behind the sofa, and stops. She lifts her glass of wine, and chugs it down. She then takes one step forward and falls backward completely out of sight below the couch. Now the camera pans slowly to the couple at the end of the sofa who are in conversation. They observe briefly, and simply resume their conversation!!! Damn, these people party. Fred, Bewahre doch vor Jammerwoch! Die Za'hne knirschen, Krallen kratzen!
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We see many similarities between electromagnetic theory and gravitation, the clearest of which may be inverse square far-field dependence of effects from sources. Yes E&M is a tensor theory of rank one; gravitation is a tensor theory of rank two. I see them both stemming from a common vacuum field, polar and neutral modes respectively, and thus their fundamental difference. I quote Introduction to General Relativity, Adler, Bazin, Schiffer, p.491: "The general theory of relativity succeeded in geometrizing the phenomenon of gravitation by connecting it with the metric of the Riemann space considered. The potential of the gravitational force which occurs in the Newtonian theory was replaced by the metric potentials [math]g_{ab}[/math], the components of the metric tensor. If we wish to obtain an analogous theory for electromagnetic phenomena, we have to establish corresponding relations between the electromagnetic potentials and the metric tensor. However, the components of the metric tensor are already sufficiently determined by the Einstein field equations, and there seems to be no room to imbed also the entire theory of the electromagnetic field into the same differential geometry." The authors go on to describe Weyl's contributions in further geometric possibilities. I feel that in assembling my understanding of the different regimes of interpretability of the Kerr-Newman metric, and combining this with the vision I have developed of polar phenomena, there will become clear a path forward to a more unified expression. The Reimannian metric is a bilinear form and thus a mathematics to deal with squares of things, and also cross-dimension relationships as in rotation tying together [math] d\phi dt[/math]. This is powerful and beautiful mathematics, built on the proposition of smooth changes describable by differential calculus, still in search of complete vacuum physics.
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Most excellent! You two stole my Q&A. Mathematically we can look at the steady state sound field, say, given a microphone at the center of circular propagation. Additionally, here we have an initial condition, a transient of a whomping pressure pulse from all the gas so quickly produced by the explosive. . . . . . . EDIT: You'll get superior results with a loudspeaker.
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The Lone Ranger got into a tight situation, surrounded by angry Indians. Turning to address Tonto, his faithful sidekick, he says, "We're surrounded by Indians, Tonto!" Smiling, Tonto replies, "We, Kimosabe?"
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I guess the idea of dead-time refers to CCD's and not to film atoms. Yes I see your thinking, Swansont. I wish I knew what we are talking about: are they tiny crystals of many atoms each? I will get in over my head and quote from the QED text I barely understand. They discuss two-photon processes and conclude, "It is not the photons which interfere but rather the transition amplitudes, and these amplitudes can involve many photons." Is this our realm?
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Mass density and thus inertia mean that the relative vacuum at the center exists until the wave process reverses. This is a large transient impulse problem. Believe it or else you can view it like a hammer striking a piano string! The actual impulse of the hammer blow travels to both ends of the string, one of which moves the soundboard in response. The exact negative image would be reflected if the endpoints were rigid but they are not, so a wonderful selection called "piano tone" is experienced. Spherically, the reference is far-field pressure, and if you send stuff flying out, there will be a vacuum to be filled at the characteristic rates.
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My McGraw-Hill Dict. of Terms tells me "halation" is a halo on the photo image of a bright object caused by light reflected from the back of the film or plate. Swansont, you would lose contrast detail if the higher intensity field could not be processed because of dead-time.
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Mass needs only to be seen as energy convinced to hang out.
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I shall be questioning the way we construct things in the nearfields. I say [math]\epsilon_0[/math] is not such a useful concept here, or otherwise, we are incorrect in our accounting in the following sense. What we interpret as charge existing in an ever-smaller radius, like 10^-20 m, may be interpreted one way if you assume (parse it) a vacuum of "epsilon-nought", [math]\epsilon_0[/math], but I suggest the thickening of the vacuum and thus larger permittivity, which I say is asymptotic to the tune of inverse square, give an interpretation that what we perceive is altered. Consider the electric field one expects to measure outside of a "source q" as [math] E=q/4\pi\epsilon r^2 [/math]. I think the ground rules of "epsilon" have changed.
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Integral Tables for Quantum Mechanics
Norman Albers replied to budullewraagh's topic in Quantum Theory
Here's a little more LaTex: [math] \int_0^\infty dr \Psi^*\Psi [/math] or maybe if angular integrations are not yet done, [math] \int d^3V \Psi^* \Psi [/math]. You don't want to hear my attitude toward normalization! I have spoken here: http://www.scienceforums.net/forum/showthread.php?t=24832&highlight=normal+modes . -
I await contact with the Steve S. to hear how he changed light intensity.
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Spectrum is not so important as making sure it does not change as you run dim light. No, I don't know diddly about film. Here's question: what is the atomic thickness of the iodide (is it still iodide?).