# Conversation 16 Jan 2016

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On Tue, Jan 16, 2018 at 2:44 PM, Raptis Theofanis rtheo@dat.demokritos.gr wrote:

Well, that's certainly much better than the previous hand-waving narrative at youtube!

yeah that was an effort to link Lie Groups (see "Pieces of E8") onto a dodecahedron. it may become relevant *later* when, just as with "Pieces of E8", an effort is made to reconstruct the many other particles (above 1GeV).

But let's look at other possibilities too. There is an additional possibility that was originally suggested by Stueckelberg but only recently resurfaced in the work of Lee Hively on the possibility of a gaugeless electrodynamics - that is, on an additional scalar field which replaces the previous gauge conditions for the standard potentials. We are having a long talk in another mail forum and he has even proposed a new type of antenna where the gradient of the current is the true source of such longtitudinal waves (of the 3rd potential - not the standard ones!)

it is absolutely critical for superposition that each contributing component's EM field be at RIGHT-ANGLES at ALL TIMES under ALL CONDITIONS.

Assuming he could be proven right many things would have to be changed, both at the QED level and the whole HEP stuff. We do not know the conditions for stable 'non-null' knots in such a model as yet. I too suspect that Maxwell alone cannot solve the problem of a stable electron without some mysterious element that could be just such a modification of Maxwell.

there are - i cannot be certain because certainty is a pathological state of mind - sufficient constraints on the degrees of freedom of existing maxwell's equations to not need to make any modifications.

i know *exactly* how to recognise the formulae which will result in a successful superposition. an up quark: take the "Equation for the Electron", substituate theta-dashed = theta + 1/12th 2pi, and you're done.

that's it.

that's all there is to it.

the only other trick for the superposition is that one of the "quarks" must be rotated about the h/2sqrt2 axis by 90 degrees, one other must be rotated in the opposite direction.

this then satisfies the SIX superposition conditions:

- quark 1 with quark 2 are 90 degrees apart
- quark 2 with quark 3 are 90 degrees apart
- quark 3 with quark 1 are 90 degrees apart
- the SUPERPOSITION RESULT of 1 & 2 is 90 degrees apart from 3
- the SUPERPOSITION RESULT of 2 & 3 is 90 degrees apart from 1
- the SUPERPOSITION RESULT of 3 & 1 is 90 degrees apart from 2

and it's all down to the geometrical fact that an equilateral triangle has very special properties, sin (30) = 0.5.

oh, if you want a "stable" particle then there is a seventh constraint: the sum (phasor) superposition of all three MUST hit a major compass point (1, -1, i, -i).

neutron and neutrino are i, -i whilst electron and proton are 1, -1

and this really really is all just based on the very special properties of Y (theta, phi) spherical harmonic superposition.

btw there are other configurations but they do not result in self-correcting (negative) feedback, instead they are *positive* feedback i.e. destabilising. these are the higher-energy particles.