Thx Horace... I peruse your stuff over the holidays. Now more interesting clues that we're dealing with resonance/harmonics... -mark
============= "Golden ratio" hints at hidden atomic symmetry Jan. 7, 2010 Courtesy Helmholtz Association of German Research Centres and World Science staff By tuning the system the researchers found that the chain of atoms acts like a guitar string whose tension comes from interaction between the spins of the constituent particles. "For these interactions we found a series," or "scale," of "resonant notes," said Radu Coldea of Oxford University, who led the research. "The first two notes show a perfect relationship with each other," added Coldea, principle author of a paper on the findings to appear in the Jan. 8 issue of the research journal Science. The "pitch" of these notes, or their frequencies of vibration, are in a ratio of about 1.618, the same as "the golden ratio famous from art and architecture," he continued. If two numbers are related by the golden ratio, their sum is also related to the larger of them by the golden ratio. In other words, if A divided by B is that special number, then A+B divided by A is the same number. ============= -----Original Message----- From: Horace Heffner [mailto:[email protected]] Sent: Saturday, December 17, 2011 12:54 PM To: [email protected] Subject: Re: [Vo]: Resonances... On Dec 17, 2011, at 10:53 AM, Mark Iverson-ZeroPoint wrote: > > How does one explain the observation that the energy involved with > interactions of electrons is a million times less than nuclear > interactions, and yet the 'electric' charges are 'equal' (and > opposite). I would argue that there is no 'electric charge'; charge > cannot be separated from the e or p 'objects'. I think this is primarily a matter of the *range* of the interactions. If you look at the deflated states you can see the electron involved has a mass similar to that of the nucleating particle, be it proton, deuteron, or quark. The physical parameters of these states are shown in approximate form here: http://www.mtaonline.net/~hheffner/FusionSpreadDualRel.pdf http://mtaonline.net/~hheffner/DeflateP1.pdf http://www.mtaonline.net/~hheffner/FusionUpQuark.pdf I had hoped to develop a more accurate and dynamic model, with compensation for the distribution of charge in the particle wavefunction, but this has been on a back burner for some years now. At close range extremely high velocities and relativistic gammas are involved. For example, the proton mass to electron mass ratio is given as 1.06983, and its gamma is 2.62791e+4. Further, the presence of an electron in a Ni nucleus diminishes its electro-magnetic field mass-energy by MeV levels. Another consideration may be that a large portion of the binding energy of a nucleus can be shown to be due to the Casimir force. This is an electromagnetic effect, and one not fully appraised in typical models of the nucleus I think. Best regards, Horace Heffner http://www.mtaonline.net/~hheffner/
