Many physicists believe that the Higgs boson is the last “elementary”
particle which will be discovered. Many more physicists are patiently waiting
for the discovery of a whole set of s-particles. Then, there are someone still
believing that there are 4

^{th}generation of quarks and leptons. Of course, these questions will be answered by the LHC data one day, perhaps. Yet, can these questions be answered in this AP (Axiomatic Physics)? The answer is a big Yes. There are only 48 elementary particles exactly, no more or less.
In this AP, the space-time is not an egg-laying hen but is
with a definite structure which is described with the equation below.

Delta S = N * C * (Delta T)

= (i^n1, i^n2, i^n3) * C * (Delta T) ..................... Equation zero

The n1, n2 and n3 can take the numbers
{1, 2, 3 or 4}. That is, this N (trait matrix) describes a 64 state set (4 x 4
x 4 = 64). The inner-product (IP) of each this state can be of four values {+/-
1, +/- 3}.

That is, this inner product (IP) of
N gives rise to two groups with two sub-groups each.

a. Positive (32 dimensions)

1. When IP = +1 (24 dimensions or states)

2. When IP = +3 (8 dimensions or states)

b. Negative (32 dimensions)

1. When IP = -1 (24 dimensions or states)

2. When IP = -3 (8 dimensions or states)

Why should n1, n2 and n3
take the numbers {1, 2, 3 or 4}? It is because that “time” has four dimensions
in this AP, {+/- t, +/- it}.

Why are there
three seats in N? I discussed this in my previous posts and will discuss it
again soon. Yet, I will skip this question for now.

In “Prequark
Chromodynamics, http://www.prequark.org/ “, on the rock bottom of this AP universe, there are
two Prequark charges; [V (Vacutron), the vacuum] and [A (Angultron),
an innate angle]. With these two charges and three seats, only four different
kinds of states (or particles) can be formed, and I have given them the names
of u- or d-quark and electron or neutrino. The fact that they have the same
names as the known quarks and leptons is purely incidental.

When the seating arrangement is distinguishable for the four
particles above, the two quarks above will become six distinguishable quarks
(could be identified with three colors). Thus, the four states (or particles)
above become 8 distinguishable states (or particles).

As there are 24 states when IP = +1, there can be three groups
of states (or particles), as 24/8 = 3. When IP = 3, those states (8 of them)
are not particles in this AP.

Thus, in this AP (Axiomatic Physics), the N (trait matrix)
gives rise to the followings,

i.
two rock bottom charges; V and A. Why, I will discuss this later.

ii. three seats (identified with three
colors).

iii.
64 dimensions (states), consequence of the “time” having 4 dimensions and the
“space” having 3 seats.

iv. only 48 of
the 64 states are particles. The other 16 states are pure vacuum.

Now, in this AP, there are three groups of particles (the
three generations). And, in each group, there are two types of particles
(quarks or leptons). Then, each type has two flavors, such as, [(u- or d-quark)
and (electron or neutrino)]. Of course, there is another set which is the
anti-particles (when IP = -1), also with only 24 states (anti-particles). The
above calculation is purely axiomatic in the framework of this AP while adding
any “external elements” (not part of this axiom system) into the system is not
allowed.

In conclusion, this AP (Axiomatic Physics) can accommodate
“only” three generations of particles with two types of particles in each
generation, and two flavors for each type of particle. Of course, there is an
identical copy of the anti-particle universe. Thus, if any additional
“fundamental” (not composite) particle (such as the Higgs boson, the 4

^{th}generation quarks or any s-particles) is discovery, then this AP must need to be amended. Before that, the issue of the origin of flavor and of generation is, now, answered.
In this AP, the force carries [photons, gluons and weak
bosons (W and Z)] are not considered as the spacetime “structure” elementary
particles. While the W and Z bosons are well-defined particles in observational
sense, they are only the transient states in this AP (see the article “Neutron Beta
Decay, at http://www.prequark.org/Q2.htm
“.

Furthermore, the numbers {64, 48 and 24} are the vital
numbers for calculating many other “structure” parameters in this AP. And, we
will see their appearances in many AP equations.

Note: the detail of the equation zero was discussed on the
page 26 of the book “Super Unified Theory” (ISBN 0-916713-02-4,
Copyright # TX 1-323-231, Library of Congress Catalog Card Number 84-90325). This book is available in many university libraries around the
world, and that library info is available at the WorldCat (the world's largest
library catalog).

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