[5] **viXra:0904.0006 [pdf]**
*submitted on 24 Apr 2009*

**Authors:** C. A. Brannen

**Comments:** recovered from sciprint.org

Koide's mass formula relates the masses of the charged leptons. It is related to the
discrete Fourier transform. We analyze bound states of colored particles and show that
they come in triplets also related by the discrete Fourier transform. Mutually unbiased
bases are used in quantum information theory to generalize the Heisenberg uncertainty
principle to finite Hilbert spaces. The simplest complete set of mutually unbiased bases
is that of 2 dimensional Hilbert space. This set is compactly described using the Pauli
SU(2) spin matrices. We propose that the six mutually unbiased basis states be used
to represent the six color states R, G, B, R-bar, G-bar, and B-bar. Interactions between the colors
are defined by the transition amplitudes between the corresponding Pauli spin states.
We solve this model and show that we obtain two different results depending on the
Berry-Pancharatnam (topological) phase that, in turn, depends on whether the states
involved are singlets or doublets under SU(2). A postdiction of the lepton masses is
not convincing, so we apply the same method to hadron excitations and find that their
discrete Fourier transforms follow similar mass relations. We give 39 mass fits for 137
hadrons.

**Category:** High Energy Particle Physics

[4] **viXra:0904.0005 [pdf]**
*submitted on 11 Apr 2009*

**Authors:** Florentin Smarandache, V. Christianto

**Comments:** recovered from sciprint.org

There is beginning for anything; we used to hear that phrase.
The same wisdom word applies to us too. What began in 2005 as
a short email on some ideas related to interpretation of the Wave
Mechanics results in a number of papers and books up to now.
Some of these papers can be found in Progress in Physics or
elsewhere.

**Category:** History and Philosophy of Physics

[3] **viXra:0904.0004 [pdf]**
*submitted on 11 Apr 2009*

**Authors:** V. Christianto, Florentin Smarandache

**Comments:** recovered from sciprint.org

Science is of course very far from the art, nonetheless there are some aspects of science
which can be compared to art. For instance, there is elitic art who prefers that art is for
art only. On the other side, there is pop art, which relates smoothly to industrialisation.
And there is also avant garde art, which asserts that all things can be thought of as art
(like mirror, glasses, broken windows etc). Similarly, in science some researchers believe
that it is the best way to keep the 'ordinary people' outside of the traditional scientific
communication (for example, arxiv.org declares that it is an exclusive scientific channel
for scientists only), while on the other side people sometimes also wants to know what
happens behind the wall of scientific labs, and so on.

**Category:** History and Philosophy of Physics

[2] **viXra:0904.0003 [pdf]**
*submitted on 7 Apr 2009*

**Authors:** Chun-Xuan Jiang

**Comments:** recovered from sciprint.org

By using the Jiang's function J_{2}(ω) we prove that there exist infinitely many integers n such
that n = 2P_{1}, n+1 = 3P_{2}, ..., n+k-1 = (k+1)P_{k} are all composites for arbitrarily
long k, where P_{1}, P_{2}, ..., P_{k} are all
primes. This result has no prior occurrence in the history of number theory.

**Category:** Number Theory

[1] **viXra:0904.0001 [pdf]**
*submitted on 6 Apr 2009*

**Authors:** Chun-Xuan Jiang

**Comments:** recovered from sciprint.org

Using Jiang function we prove the foundamental theorem in arithmetic progression of primes.
The primes contain only k < P_{g+1} long arithmetic progressions, but the primes have no k > P_{g+1} long
arithmetic progressions. Terence Tao is recipient of 2006 Fields medal. Green and Tao proved
that the primes contain arbitrarily long arithmetic progressions which is absolutely false.
They do not understand the arithmetic progression of primes.

**Category:** Number Theory