The work of the mathematician Chris Illert on Calculating Nuclear Binding Energies and Nuclear Shell Properties from a Model using the Platonic Solids, is based on the Occult Chemistry models of CW Leadbeater and Annie Besant
THE PLATONIC SOLIDS (from Besant & Leadbeater, Occult Chemistry)
Upon retirement, in 1996, Illert was an Associate Professor in the Istituto per la Ricerca di Base, in southern Italy.
? (from Mss for Chris Illert's Alchemy Today volume 1)
". From a classical realist perspective, volume 1 explained how experimentally observed nuclear shells and subshells follow from geometrical considerations associated with the packing of equal sized spheres (representing nucleons) into concentric layers ... as in a hailstone.
But instead of the spherical harmonics and wave-functions in contemporary treatises, we chose to use Platonic Solids as our geometrical ‘eigenfunctions’ and superimposed them to generate the vertices of our nuclear ‘Buckey Ball’ shells. In this way, using an intuitive language resembling counting in old-fashioned Roman numbers, we were able to describe and explain exotic radiations from just-discovered asymmetric fission reactions ... as well as previously unknown quasi-crystal states, and phase transitions such as the compactification process when the Gadolinium160 nuclear core condenses to a compressed regular crystalline lattice. ...
Furthermore, the Platonic subshell structure of our nuclear Buckey Balls has explained an experimentally well known ‘coriolis’ effect involving the transfer of spin energy, from alpha-rotors on the nuclear surface, to the nucleus as a whole ... a kind of ‘quake’ in rapidly spinning nuclei which, after slowing down over a few billion revolutions, suddenly but briefly sped up ...
Another achievement of volume 1 was to demonstrate that there really is no need for a belief in ... ‘tunnelling’ within the religion of quantum mechanics. Reasonably complete tables of alpha-particle emission energies, from decaying radioactive nuclei, have been in existence for nearly half a century ... a careful analysis demonstrates that nothing more than Coulombic electrostatic repulsion is needed to explain them provided we accept the existence of fractional electrical charge units of 1/3 and 2/3 that of the proton. These are simply the quark charges [which we discovered and] ... announced in April 1992. Thus it is argued that we have encountered nothing inherently wave-mechanical in the nuclear realm that cannot be as well, or better described with classical physics ... "
Illert's (1995), Alchemy Today, volume 1, matter on the E5 level: Platonic geometries in nuclear physics, a centennial commemoration of Occult Chemistry 1895-1995, is out of print.
Oxygen 16, Buckey-ball 40, 56 Iron Core, Buckey-ball 44,
Uncompressed state of the 100 Molybdenum nucleus.
? (from Chris Illert's Alchemy Today volume 1 p66)
" ;.. Illert feels that nuclear bonding can be better (i.e. more simply) explained by a classical, geometrical model of the nucleus than by Quantum Mechanics. ... [he] has published a second volume of his theory of nuclear structure. In large page format, profusely illustrated, Alchemy Today volume 2, is a visual delight and a theoretical mind candy-store. Chris conceives of quark or subquark particles called omegons for which he claims experimental evidence [see "our discovery of the Omegon" in COLD FUSION vol. 6]. Nucleons (protons and neutrons) are constantly emitting and reabsorbing omegons. Citing evidence from electron scattering experiments, he depicts a layered [structure]: at the centre is a "solid" core around which is a halo of omegons emitted and reabsorbed. Intermediate to both is another halo of mesons emerging and fading back into the nucleonic core. Nuclear binding is carried by a few exchanges. Simple omegon exchange is basic. Chris argues that exchanging an omegon-antiomegon pair is equivalent to the passing of a pi-meson. There are also pionic current interactions which must be taken into account. Using data for nuclear binding energies already published ... [he] calculates the binding energies for ground and excited states for the various nuclei.
He then shows remarkable agreement between his calculations for the exchange process of his theory and actual experimental measurements. Step by step, starting with the simplest compound nucleus, the deuteron ... he builds his magical geometries using simple, arithmetical equations, and gives very plausable explanations for the halo-nuclei observed in more complex configurations [see "newly discovered halo nuclei and their implications for cold fusion", in COLD FUSION, volume 6]. At the end of the book, in appendices, essays take up stellar fusion and the mechanisms of cold fusion in the laboratory, and sonoluminescence. Longer range nuclear forces, as envisioned in interactions between pionic currents, for example, make cold fusion less difficult to accept. In an informal and comfortably chaotic way, Chris throws in relevant historical and biographical data on personages such as Faraday, Tesla, and Feynman. Sidebars carry speculations about the ultimate nature of matter, which, though he prefers to visualize subatomic particles as ‘solid’ bodies, nonetheless can be viewed as composed of ‘bubbles in the aether’ ..."
Illert's (1993/5), Alchemy Today, volume 2, matter on the E4 and E3 levels: a beginners guide to hadronic circuit diagrams, and the Secrets of Cold Fusion". Currently in print (200 copies only, no plans to reprint): 172 A4 pages, some color plates, over 300 illustrations, about 100 references, archival (200 yr) softback. ISBN: 0 949357 15 4 (v2)
TYPES OF E4 MATTER (from Besant & Leadbeater, Occult Chemistry)
extract from a larger article by Rosemary Lorenz, published in the "Dowser Society of NSW, Newsletter", volume 4(6), pages 2-8 (July 1992).
"... greetings of welcome were exchanged between Chris and the large audience for, indeed, we were all old friends. Chris has kept us in awe at a number of previous lectures. The topic ‘micro-psi investigations into atomic nuclei’ has attracted many listeners, and the ASTRO group were also present filming ... What was presented to us now was -- simply mind boggling. Here was a toybox with colourful models which could be expanded, contracted, transmuted, which could spit out a small tetrahedron -- or swallow it up again, here were diagrams and tables and geometrical pattern drawings which projected visions of the occult chemists (C.W. Leadbeater and Annie Besant) published 100 years ago, long before orthodox scientists had any idea about the inner structure of the atomic nucleus --
and here were the results of Chris' extraordinary intuitions and mathematical computation -- work of genius! -- rendered so fascinatingly, intricately precise and yet so simple and presented so enthusiastically that everyone, even the non-scientists among us could catch glimpses of the principles of cosmic order in the structure of matter and the geometrical language behind it. ‘It is an unusual topic with an unusual interpretation’ Chris startedoff. He uses real geometry to predict structures and events occurring within atomic nuclei ... in 1895 C.W. Leadbeater and Annie Besant used micro-psi vision to describe these same structures ... [and] the term ‘Buckey Ball’ is derived from the name of ... Buckminster Fuller who in the 1930's drew [some of] the first models of atomic nuclei based upon sacred geometry. He constructed super-stable ‘magic’ nuclei by nesting Platonic solids one inside another, resulting in nested Platonic shells within the nucleus ... In a Buckey Ball one has to visualise spheres, representing nucleons (protons and neutrons) at the vertices ... These nucleons are thus spaced equidistantly from each other ... Chris has calculated the critical density of nucleons within Buckey Balls thereby determining [condensation into] the [observed] shell layers inside the nucleus. Micro-psi visions of the last century had already predicted that picture (even isotopes were described at that time), long before nuclear physics had developed.
... Chris then used the occult diagrams to estimate nuclear binding energies ... and the values agreed very well [with] von Weizsacker's experimental data from 1935 ... the formula E=mc2 could have been predicted, in principle, using occult chemistry in 1895 [decades before Einstein]! Chris entertained us with descriptions of experimental proofs in the field of wave mechanics, and dismissed the ‘optical model’ as unrealistic. He discussed the opposite process, the emission of alpha-particles (Helium nuclei) from radioactive nuclei, and dismissed the wave-mechanical ‘explanation’ (in terms of ‘tunnelling’) as ‘a quasi-religious doctrine akin to a belief in miracles’. ... spurred on by the psi-visions of the occult chemists who saw four instead of the expected three mesic strands holding back the tetrahedra in the process of leaving the radium nucleus ... he explained this by assuming ... four surface hexagons (funnels) attached to a linear (not tetrahedral) vibrating alpha-string (described as an excited Helium nucleus) which, after leaving the surface of the radium nucleus, curls up to form the tetrahedral ground state of the alpha-particle, whilst the [outer shell of] the radium parent-nucleus rearranges itself into a Radon nucleus -- i.e. a Buckey Ball 60 turning into a Buckey Ball 56. The final relation Chris pointed out, and which I found most interesting, is that if one plots the relative abundance of elements in the universe against their atomic numbers -- the peak values correspond to our super stable nuclear Buckey Ball configurations because they are most stable, and all other nuclei are less stable (hence less abundant) and they undergo various nuclear reactions trying to become the special Buckey Ball configurations! ...
C. Illert (1995), "Alchemy Today, volume 3, matter on the E2 and E1 levels: the Ultimate Physical Atom" This book exists only as a manuscript.
Some SPIKE GROUP ELEMENTS (from Besant & Leadbeater, Occult Chemistry)
26th January 2001
Dear Gladney,
An update:
In "Alchemy Toady, vol 2" pages 96 and 97, I drew the
Flourine17 nucleus, and the Neon18 nucleus. Obviously if you add
one proton to Flourine17 it becomes Neon18 for about 1.6 seconds
before decaying into Oxygen16 plus a diproton. In other words I
outlined a way to create diprotons which are otherwise quite hard to
produce. It is interesting therefore to hear that Philip Woods at
the University of Edinburgh, no doubt after reading Scottish TS
material, has used exactly this technique to create diprotons in the
laboratory. There is an article on this by Nicolas Jones, called
"the power of two", on page 21 of the 4th November 2000,
issue of "New Scientist". Remember, my book showing these
structures was published in 1993/4 many years before this successful
laboratory application. The New Scientist article quotes Alfredo
Galindo-Uribarri, of the Oak Ridge National Laboratory at Tennessee,
explaining that it is energetically impossible for the Neon18
nucleus to decay by emitting just one proton: "that's the
clever part ... there's no intermediary step of the ladder. [the
nucleus is] forced to emit two protons at once to become
Oxygen16". Just study my drawing on page 97 of Alchemy Today
vol 2, to see why! They say they're submitting a paper to
"Physical Review Letters" on their results. Its only a
hundred and six years late.
Best wishes Chris Illert
END
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