The Larson Research Center

The online development of RST-based physical theory here at the LRC is an experiment in itself. The reason for taking this path is to provide maximum visibility into the process for students and donors. The idea is to develop the Structure of the Physical Universe Document (SPUD), as an interactive, living, document that both documents the development of the theory and provides a basis for discussion and teaching of the principles involved.

Consequently, the development of the SPUD should be our main focus. However, it’s been somewhat neglected in our initial efforts, while most of the work has gone into writing the three blogs. Unfortunately, this has resulted in a fragmented commentary, as the topics of the blog entries tend not to follow a linear path of development.

However, the theoretical development has progressed to the point where we really need to get it documented in the SPUD, so we will begin doing that next. Meanwhile, the blogs will be a running commentary on the SPUD work, and aspects of the implications, the backtracking, the mistakes, the breakthroughs, the problems, the rumination, etc, associated with the development effort.

In this way, even though the commentary is necessarily fragmented, the logical, linear, development of the theory (the product we might say) will always be available in an organized form for study and analysis.

Currently, we are concentrating on the “Material Combinations” section of the SPUD, where we are working on describing the S|T units as the preons of standard model entities. In the course of this effort, we are refining the ideas about the preons, first discussed in this blog (here), in some interesting ways. One of these has to do with the dimensions of scalar magnitudes.

Recall that, as we follow the logic from the unit space|time progression to the time speed-displacements (SUDRs), and the space speed-displacements (TUDRs), we have three dimensions of SUDR|TUDR combo units (S|T units), which are our preons of standard model entities: the time-like, the space-like, and the light-like, dimensions of progression, where we assigned primary colors to each: Time-like progressions (with net time displacements) are red, space-like progressions (with net space displacements) are blue, and light-like progressions are green.

Adding one or more SUDRs to the initial S|T unit,

ds/dt = 1|2 + 1|1 + 2|1 = 4|4 num

alters the light-like (green) progression of this S|T unit in two ways,

(1|2 + 1|1 + 2|1) + (1|2) = (2|4 + 2|1 + 2|1) = 6|6 num 

With two red SUDRs and one blue TUDR the resultant S|T unit is “redder” than the initial S|T unit; that is, it has more “red” time speed-displacement than “blue” space speed-displacement, so the color of the S|T unit, which we can represent with the 2D color magenta, when the number of 1D red and blue components in the unit are equal, shifts to a redder shade of magenta, when there are more SUDRs than TUDRs, and a bluer shade of magenta, when there are more TUDRs than SUDRs. 

However, while a shift in the 2D color of the unbalanced S|T unit, either to the redder end of the spectra, or to the bluer end of the spectra, indicates the relative number of time and space speed-displacements in a given S|T unit, the question arises, does it also indicate a shift in the “direction” of the unit’s progression; In other words, while the progression of the magenta 4|4 unit is light-like (green), with equal space and time progression, is the progression of the 6|6 unit shifted either in the time-like (red) “direction” or the space-like  (blue) “direction?” 

We can plot these three cases of S|T units, as shown in figure 1 below, assuming that the shift in color equates to a shift in the “direction” of the progression:

Figure 1. Three Instances of S|T Unit Progression

Of course, a shift in the red “direction” corresponds to a slower speed of progression, while a shift in the blue “direction” corresponds to higher speed of progression, contrary to observation, where photons of varying frequency always propagate at c-speed, so what is going on? 

Well, this is an interesting point, because as it turns out, even though the number of SUDRs and TUDRs in a given S|T combo unit may be equal or unequal, the total ratio of space to time progression is always 1:1; that is, 4|4 = 6|6 = n|n = 1|1. This means, that the plots in figure 1 above are incorrect, because while the color of the arrows change, depending upon the relative number of SUDRs and TUDRs in an S|T unit, the unit value of the total progression is always conserved. This means that adding SUDRs and/or TUDRs to S|T units changes the color of the unit, but not the “direction” of its progression in the world line chart, just as the frequency of photons can vary, without changing their speed of propagation.

Consequently, we can represent a two-dimensional result of combining two, orthogonal, one-dimensional values of progression, as a frequency change, but without affecting the speed of progression, which always remains at unity. Still, while 4|4 = 6|6 = 1|1, the quantity of progression of a 4|4 S|T unit is not the same as the quantity of progression of a 6|6 unit, for a given number of steps of progression, since the constituent number of SUDR and TUDR oscillations are happening in parallel so to speak

For example, after three cycles of progression (2 units per cycle) in a 4|4 S|T unit, there are a total of 3 x 4|4 = 12|12 total nums, while in the 6|6 unit there are 3 x 6|6 = 18|18 total nums. Moreover, while there is only one S|T unit with the 4|4 magnitude, there are two S|T units corresponding to the 6|6 magnitude, or, in general, to the n|n magnitude, when n > 4, depending on which “direction” the unbalance occurs. Thus, in the 6|6 unit, the two values are

2|4 + 2|1 + 2|1 = 6|6, and

1|2 + 1|2 + 4|2 = 6|6,

The red and the blue magnitudes, we might say. Switching to the continuous reference system, also see the difference, as the SUDR value, at 1/2 = .5, is 1/4 the size of the TUDR value, at 2/1 = 2. Hence, in this system, the magnitude of the red 6|6 unit is

2(1/2) + 2 + 2 = 5, and the blue 6|6 unit is

1/2 + 1/2 + 2(2) = 5.

And there is only one continuous value for the 4|4 unit:

1/2 + 1/1 + 2/1 = 3.5

I have no idea yet what all this implies, but it’s clear to see that it parallels the idea of a ground state of energy, since there is nothing less than 1|1 = 0, or 1/1 = 1, and if we incorporate this “green” dimension into our plots on the world line chart, clearly, the range of n|n values would be orthogonal to both the time-like and space-like dimensions.

Interesting.