LIFETIME
OF CARGON,
THE MUON
Larson states that the apparent lifetime of cargon is the sum of its own proper lifetime and the time required for the conversion of the ckrypton rotations to massless neutrons [1]. This conversion of the cosmic type rotation, namely (3)(3)0 of cKr to the material type rotation, M ½½0 of the massless neutron, involves two distinct steps: firstly, there is the “scalar inversion” resulting in the change of scalar direction, from the standpoint of the temporal zero (the initial level of negative rotation) to that of the spatial zero (the initial level of positive rotation), converting the (3)(3)0 rotations to the 110 rotation (along with the concomitant conversion of the rotational base). Secondly, there is the “splitting” phenomenon, which results in two single rotating systems of the massless neutrons, M ½½0, from the double rotating system of the above 110 rotation. Thus, the apparent lifetime of cAr comprises three components:
The Decay Time: The proper lifetime of the cAr, td , in the material environment is the onedimensional lifetime, t_{1D}, which has been evaluated [2] as 1.233148 * 10^{8} sec. Thus,
t_{1D} is also the unit of time that is relevant in the computation of the inversion and splitting times. The Inversion Time: It must be recalled that the two sectors of the physical universe— the material and the cosmic—are distinguished by the nature of the reference frames to which each belongs. The timespace region of our sector is reckoned from the standpoint of the stationary spatial frame of reference, while the spacetime region of the cosmic sector is reckoned from the standpoint of the stationary temporal reference frame. The onedimensional lifetime, t was evaluated from a consideration of the kinetics of the entry from the spacetime region to the timespace region. However, in the inversion of the rotational units of the cosmic type to those of the material type, there is an additional factor to be taken into consideration. This is because, while the evanescent manifestation of a decaying catom in the material sector is analogous to the temporary sojourn of an alien visitor on a tourist visa, the scalar inversion amounts to nothing less than a complete naturalization. The catom exists inside one natural unit of time, the “space region” of the spacetime sector, whereas the material atom (or particle) exists inside one natural unit of space, the “time region” of the timespace sector. Consequently, the inversion of the catom involves the crossing of the unit time boundary as well as the unit space boundary. But since our observations and measurements are carried out in the timespace region, outside the unit space (time region), the additional factor we need to consider is that arising out of the crossing of the unit time boundary only. The total number of possible directions—the quantization of orientation, we may say—in the time region that the scalar effect of the rotation can take is calculated by Larson [3] to be 156.44. Therefore, in the absence of any preferential direction, the probability, p, that the scalar inversion takes place in a unit of time (i.e., t_{1D}.) would be 1/156.44. But this number, 156.44, is specifically applicable to the time region motion only in relation to our spatial zero point of view, or the analogous case of the space region motion in relation to the temporal zero point of view. As already mentioned, the inversion of the negative rotations (3)(3)0 to the positive rotations 110 is tantamount to switching the viewpoint from the negative zero to the positive zero. Although this entails no change from the natural standpoint, it amounts to a shifting of 8 displacement units from the standpoint of our stationary reference system [4]. In view of this 8unit separation between the positive and negative zero points, the total number of positive orientations in the space region, namely 156.44 as reckoned from the negative zero standpoint, becomes 8 * 156.44, when reckoned from the positive zero standpoint. Consequently, the probability of inversion, p, becomes 1/(8 * 156.44). Over and above these, there is a numerical amplification arising out of the fact that x units measured from zero speed in time are equivalent to 8x units measured from zero speed in space. Thus, one unit of motion in time “ . . . the smallest amount that can exist, is equivalent to seven units measured from the spatial zero. . .”[5]. Remembering that, whereas the previous factor 8 applies on the other side of the unit time boundary and therefore increases the total possibilities (i.e., reduces p), the factor 7 magnifies the motion on this side of the boundary and increases p. Thus we arrive at the value of the probability p as 7/(8 * 156.44). Since p is the probability that the inversion takes place in unit time, the mean time, required for the completion of the inversion event is 1/p. That is,
It must be realized that the 110 combination is inherently unstable from the probability considerations [6], whereas the massless neutron, M ½½0, is a stable structure. Insofar as the scalar inversion from (3)(3)0 leads to the improbable pattern 110, the splitting time, t_{s,} is negative. This is the same thing as saying, in common parlance, that a more probable condition is realized earlier than a less probable one. This clarifies the reason why t_{1D} and not t_{nat} is the pertinent time unit in the splitting. The time computation concerning any event after the 110 event requires consideration of t as the proper time unit since the event 110 marks the end of the inversion. But the M ½½0 event is before the 110 event and thus the relevant time unit is still t_{1D}. Thus,
