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Analysis of Lockyer Cubes

Analysis of Lockyer Cubes. Greg Volk NPA-19 July 25, 2012. Goals of This Talk. Introduce the Lockyer Cube model Set up the analysis Exhaust possible paths and combinations Assess the model Discuss implications to particle structure. Debunking Neutrino Detection Experiments,

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Analysis of Lockyer Cubes

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  1. Analysis ofLockyer Cubes Greg Volk NPA-19 July 25, 2012

  2. Goals of This Talk Introduce the Lockyer Cube model Set up the analysis Exhaust possible paths and combinations Assess the model Discuss implications to particle structure

  3. Debunking Neutrino Detection Experiments, Proceedings of the NPA7: 293-297 (2010). The Precise Positron and Electron, Proceedings of the NPA 7: 298-301 (2010). The Mass Defect Nature of Gravity, Proceedings of the NPA 8: 363-367 (2011). Particle Structure Causes DiscreteFundamen-tal Charge e, Proceedings of the NPA 9: 322-325 (2012). Tom Lockyer www.vectorparticlephysics.com http://www.worldsci.org/people/Thomas_Lockyer

  4. 2000 1992

  5. 2008 2005

  6. What’s a Particle? Trefoil Knot: n = 2, m = 3 ?

  7. Interlocking Rings? 3 5 10 35

  8. Hopf & Borromean Rings?

  9. Toroid Model?

  10. CSS Physical Models? Spinning Charged Ring Hydrogen Molecule

  11. Bergman Neutron Model? David L. Bergman, “Notions of a Neutron”, Foundations of Science, Vol. 4, No. 2, 11 pages (2001) http://www.commonsensescience.org/pdf/articles/neutrons.pdf.

  12. BriddellStructors? Tetra Cube Octa Dod.

  13. The Vector Particle Physics (VPP) Model Based on the flow of vectors E, H and S along the edges of a cube

  14. VPP Rules • Fields flow only along edges, between adjacent corners. • All three fields flow into and out of each corner. • No field may exit along the same edge it entered. • Entering E, H and S fields are mutually orthogonal. • Exiting E, H and S fields are mutually orthogonal. Everything else is derived from these rules

  15. Consequences • Flow paths never end, but circulate (by 1,2). • Each field flows along exactly 8 of the 12 cube edges, since a cube has 8 corners (by 1,2,3). • Each field flows out of each corner from the direction it flowed in, either in a right- or left-handed sense (by 1,2,3). • No two vectors along a given edge can flow in the same direction, since they would then enter and exit corners in parallel (by 4,5). • Each edge may have at most two field flows, which must be in opposite directions (by 9). • Each edge must have exactly two field flows, since 8 edges for 3 vectors demands 24 flows along 12 edges, precisely 2 per edge (by 7,10).

  16. More Consequences • Each pair of two fields (EH, HS or SE) must share exactly 4 of the 12 edges, else the individual fields could not flow along exactly 8 edges (by 7,11). • The shared edges for each pair may not meet at a corner, else the third vector would have to flow back (by 3). • All three fields must curl through each corner (or node) ateither CW or CCW (not RH or LH), else different fields would flow along the same edge (by 8,11). • The relation between E, H and S is either right- or left-handed, both entering and exiting. That is, , where positive is RH, and negative LH (by 4,5). • The sense (RH or LH) of the entering triple is opposite to the sense of the exiting triple (by 14,15).

  17. Or

  18. By Coordinates +1: (+ - +) -1: (- + -) +2: ( - - +) -2: (+ + -) +3: (+ + +) -3: (- - -) +4: ( - + +) -4: (+ - -)

  19. Symmetric Group Find all permutations of : +3 -2 -4 +1F front-3 +2 +4 -1B backx-axis +3 +4 -1 -2 R right -3 -4 +1 +2 L left y-axis +3 +1 +2 +4 U up -3 -1 -2 -4 D down z-axis

  20. Test the Nomenclature +3 -2 -1 +4 +2 -3 -4 +1 +3 or -3 +2 +1 -4 -2 +3 +4 -1 -3 or +3 +1 +2 +4 +3 AND -3 -1 -2 -4 -3 Try it!

  21. Possible Paths “Wicket” Double loop

  22. Wickets are Amphichiral!! • Ux (Dy) and Uy (Dx) • Rx (Lz) and Rz (Lx) • Fy (Bz) and Fz (By)

  23. Exhaust all Possibilities +3 -2 -4 +1 +3 … B +3 -2 -4 +1 +2 … DyNo +4 +3 -2 -4 -3 …RzNo +2 +3 -2 -1 -3 … ByNo +2 +3 -2 -1 +4 +3 … R +3 -2 -1 +4 +2 … UyNo +1

  24. Tabulate Double Loops +3 +1 +2 +4 +3 AND -3 -1 -2 -4 -3 U D +3 -2 -4 +1 +3 AND -3 +2 +4 -1 -3 F B +3 +4 -1 -2 +3 AND -3 -4 +1 +2 -3 R L Wickets +3 -2 -1 +4 +2 -3 -4 +1 +3Uy (Dx) +3 +4 +2 +1 -4 -3 -1 -2 +3Fz (By) +3 +1 -4 -2 -1 -3 +2 +4 +3Rx (Lz) +3 +4 -1 -3 +2 +1 -4 -2 +3 Ux (Dy) +3 +1 +2 -3 -4 -2 -1 +4 +3 Fy (Bz) +3 -2 -4 -3 -1 +4 +2 +1 +3 Rz (Lx)

  25. Combinations of Paths Goal: combine three paths E, H, and S, that follow the rules Double Loops (the easy ones) UDRLFB: positron : electron

  26. Key Insights Exactly four edges for each combination of two (i.e. EH, HS, SE). No two edges with the same combination can touch. New goal: find the possible ways to combine edges. Long story short: only two ways. 4 Parallel Edges Cross Pattern

  27. More Key Insights Wickets use only cross patterns. Choose a wicket, the remaining four edges form a cross pattern, that must be shared by the other two fields. Choose two wickets, and the unmatched patter is a double loop. Conclusion: There must be an even number of wickets (0 or 2). This exhausts all possible patterns according to the rules.

  28. Lockyer Claims : Muon Type NeutrinoAllof them are amphichiral. : Muon Type Anti-Neutrino Different “odd man out”. : Electron Type Neutrino

  29. Thanks for listening!

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