Topic021: The Light Mesons and Lepton Limits, Bill Tifft, 6/02/16

Topic021: The Light Mesons and Lepton Limits, Bill Tifft, 6/02/16

Topic_021_S4T4b

Table 4, section 2 from book chapter 4

Topic_021_S4T7_meson

Table 7, section 4, from book chapter 4

One of the best actions possible in support of QTP theory is to provide good answers to puzzles in existing theories. QTP, through QTC and QTPP, has been very effective in that process. QTC speaks for itself through earlier Topics, with more to come, as the terminal figure of Topic020 illustrates. The ability to predict energy level patterns which define masses, properties (such as magnetic moments) of particles, and interrelationships between classes of particles is a unique and remarkable accomplishment. The baryon class of hadrons (quark based particles) find their home in tightly defined 3-d quantum energy levels intimately tied to a 3-d 64 Planck based doubling structure. This is possible because the structure is compatible with Keplerian vector dynamics in 3-d space. There is a key link to the 3-d temporal domain through 4-d space-time. Baryons and higher energy mesons illustrate the pattern. The current Topics specifically address why classes of particles have particular beginning and especially end points. This includes baryons, quarks and leptons (3-d fermions), light and heavy mesons and more complex bosons (4-d structures).

There are a vast number of particles, but all the excited and complex forms decay into remarkably few basic particles, baryons, quarks, light mesons, and (ultimately) three known leptons. To demonstrate decay patterns 3 and 4-d metric energy doubling pattern are used, 3-d (l,m,n)/3 = N.xx and 4-d (l,m,n,i)/4 = N.xx. (l,m,n) denotes 3-d spatial energy doubling, and i is 4-space massless temporal. The two forms distinguish Fermi from Bose statistical behavior beginning from the Planck units at the birth of time. A useful higher energy point for baryons is illustrated by the (64,64,63,64)/4 = 63.75 4-d energy level that includes the lambda. That `level’, and other higher 4-d levels, which can produce the 3-d lambda, include 4-d light mesons in their decay (accounting for the 4-d part). A 3-d spatial particle form is now possible since a functional 3-d spatial structure around level 64 is now dynamically possible. A 4-d meson level can `transition’ into a pure spatial structure at a common temporal point. Spatial particles distribute in space (following Fermi statistics) while temporally `common’ (simultaneous) in time (the 4th metric dimension). This is `temporal commonality’ in QTP which allows forces to communicate `within’ spatially limited `particles’, including galaxies. Prior topics have shown that forces do not connect galaxies as particles of space embedded in 3-d time, but obviously work fine within the particles. We can look back in time only because the massless photon skips along in redshift so what existed during our (now) time period can be seen in synchronized redshifted lookback. Looking `spatially’ out from our location we reach our communication limit laterally and disconnect from what we call `dark matter’ which (including us) relativistically slowly lags behind in time. In QTP dark matter is simply ordinary matter out of communication. As discussed in my book, uncertainty is also a product of the time lag. (For book information or acquisition see Post001 and Post002.)

The lambda energy level, as a 3-d lambda particle can rapidly decay into a proton or neutron (preserving the 4th dimension by including a pion light meson), or other sets of particles. Various higher level mesons, and baryon decays, also generate baryons, including the lambda, again preserving dimensions. Various higher energy levels are essentially the source of the light mesons and the baryons. The baryons together form a `closed’ (and complete) 3-d set uniquely associated with 64 level doubling and existence, at that level, of 3-d spatial Keplerian dynamics. Baryons fall within one doubling of the 64 64 64 structure, no greater deviations exist. The perfect symmetry, lowest energy level, and stability mark the proton as the lower limit of baryon class particles. But what about mesons, more complex baryons or leptons? What restricts their range of existence?

Light meson and lepton particle classes should now be introduced. The lead topical figure, a second part of book Table 4 in Seminar (chapter) 4, includes the pion and eta light mesons at Pi energy levels 66.75 and 64.75. They are built from up and down quarks. The kaon light meson introduces the strange quark in Gamma level 65.75. These mesons represent the light meson class associated with the 4-d Pi 64.75 level (which contains the lambda and would represent the eta anti-eta if it existed). But, why does the pattern end at the pion? Two higher level mesons are well fit and shown in several figures, including the large terminal figure to this topic which summarizes most particles, energy levels, and transitions involved. The F meson (now called Ds) at Gamma 63.75 incorporates both the strange and charmed quark. The D meson, at Pi 63.00, not listed in the leading table, but shown in some figures, is the lowest higher energy meson and introduces the charmed quark. The bottom quark is involved in the much higher energy B meson. Certain high energy mesons or bosons are discussed in a later topic. Note that N.00 levels can incorporate either or both 3-d and 4-d. Level 63.00 represents both the 4-d D meson and the 3-d tauon lepton. The lepton class contains three 3-d particles, the electron at Gamma 75.67, the muon at Gamma 68.00, and the tauon at Pi 63.00. Since the tauon, because of undeveloped high energy associations, was not discussed in my book, lepton properties are listed here.

Topic_021_LeptonFg

Table of fits to the Lepton

The lower leading figure in this topic contains a table relating the doubling level evolution of the light meson pattern. Just as the baryons begin with the lambda at Pi 63.75 just above the 4-d Pi (64 64 64 64) = 64.00 hadron base, the F meson falls at Gamma 63.75 just above the Gamma 4-d Gamma 64.00 base. 64.00 is clearly a key transition point marking the doubling division between baryons at 64, the light meson pattern below and heavier meson/boson forms above. Each of the 4-d forms have their own lepton,which terminates their pattern. The large terminal figure in this topic shows a terminal tauon lepton transition in red between the lowest (D) heavier meson at Pi 63.00 and Gamma 68.00 which is home to the muon lepton. The third lepton, the electron, will be shown to terminate the quark pattern (and the lepton pattern) in Topic023. Topic022 will discuss fundamental forces, to define something new, the QTC chronon triad, and explain why all meson levels fall into N.75 states.

To describe a light meson evolutionary pattern through successively lower energy levels (higher doubling) a 4-d temporal metric energy form is used. This decay pattern does describe the evolving `quantum’ pattern but not actual decay patterns that generate the particles which include other factors. The metric patterns are the 4 digit forms shown at the left in the lower leading figure for this topic, adopted from book section 4.8.1, that are referred to as energy levels. Energy is related to the temporal (energy) scale of a particle distributed over spatial distance (symbolically work done, the total energy involved at that stage). The first three numbers are the doubling energy stage of a 4-d particle’s three `energy’ dimensions. The final figure is the doubling stage of the spatial displacement involved to define the total energy of a particle as doubling proceeds (expressed in this temporal 4-d metric form). In wave function terms it is the energy of a wave function description of a particle or its level as it evolves through a theoretical energy pattern.

The light meson quantum pattern in the lower lead figure begins with the 4-d hadron base (64 64 64 64) = 256 = 224 + 32. Below each level doubling changes to a lower level are shown. This 4-d basic pattern never appears as a particle but may be involved in pair formation. The third term in temporal form is thought of as radial, representative of temporal commonality in time. Energy changes are in the first two, lateral at constant time. A theoretical eta anti-eta level (an energy factor of two above the eta on metric line 4) is shown on the second metric line. There are no charged eta particles so this level (which is not symmetric) cannot decay. However the state can produce the neutral eta with 4 doubling passing back through the 4-d 64 base to a 65 spatial term and doubling both lateral temporal terms to generate the neutral eta. Each subsequent addition of two lateral doubling steps yields kaon and pion quantum forms, and possibly intermediate particle anti-particle forms. There is no change in radial temporal commonality or the spatial term. The successive additions carry the laterally defined vector states through the S – P – D vector states. There is a Pi – Gamma structural change at each step but no spatial-temporal change, hence no neutrinos. It does, however mean that the eta cannot decay to the kaon, only to doublets or triplets of pions or muons and electrons. The kaon must, and does, descend from higher sources, but the vector state form is probably correct. The 3-d structure of time appears to provide a remarkable model for producing light mesons. There is, however, one more important step, by adding one more doubling and rearranging into a spatial metric form (3 spatial, one temporal – still 64 but in the last column). The muon terminates the light meson sequence. There should not be any lighter mesons, and that appears to be the case. The tauon likewise terminates the heavier mesons at level 64 and both decay to the electron which, in book section 4.8.4, terminates both the quark and lepton patterns. There are other important aspects of leptons to come in later Topics.

Topic_021_S4F7_tau_

Book figure 4.7, with tauon line added

Topic020       Topic022

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