Saturday, July 31, 2010

Binary Mechanics Electron, Positron and Proton

Updated: May 24, 2010
This note presents aspects of the geometry of the electron, positron and proton using binary mechanics.

Fig. 1A shows the electron consists of three "intercube loops" converging at spot 111 (or generally, IJK where I, J and K are all odd integer lattice coordinates). For example, a mite at spot 111 will circulate in one of three loops, depending on the orientation of its spot unit. If spot 111 contains three mites, with no other mites at other locations in its three loops, presumably this is an electron in the lowest possible energy state.

Fig 1A


Mites within the loops may be analogical to "fragments" of "virtual" electrons or positrons (ref). Further, as these mites cirulate, other mites, if present, may converge at particular spots forming the particles determined by the respective parities of IJK at particular spots.

Next we add the "intracube loop" (Fig. 1B) as shown by the dark gray loop in Fig. 3A in the original paper.

Fig. 1B


Fig. 2 shows a positron.

Fig. 2


If we populate the intracube loop (purple in Fig. 3) with 12 mites at appropriate right-handed quark spots (d,u,u), we have a proton. Add the electron within the spot cube and we presumably have a neutron.

Fig. 3 shows a proton.

Fig. 3

Legend: The white (w) color designation was changed to green in the Standard Model.

The proton has three d quarks shown by the red, white and blue dots (spots) and a positron (gray dot at spot 000 without showing its loops in Fig. 2). The base energy state may require 12 mites, three for each component, located at the spots shown at t = 0.

With this positron, two of the d quarks may be seen as u quarks, as shown in Table 3 of "Binary Mechanics" [1]. That each proton binds one or more positrons (as u quark components) would tend to use those bits for proton production. This might be one explanation for the relative paucity of positrons in nature, which are one of the anti-matter particles.

Note that each d quark has one intracube loop (shown in purple), which they share, and two intercube loops. For each d quark, one of the intercube loops insersects with the electron spot (111).

Notice that all the loops shown cycle their bits to return to the t = 0 position. In some sense, then, all of these particles may be said to exist as such only some fraction of the time. As more bits (e.g., mites) are added to particular loops, the "percent existence time" depending on interloop bit synchronization would increase toward 100 percent.

References
[1] Keene, J. J. "Binary mechanics" July, 2010.
© 2010 James J Keene

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