[4] 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
[3] 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
[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 J2(ω) we prove that there exist infinitely many integers n such
that n = 2P1, n+1 = 3P2, ..., n+k-1 = (k+1)Pk are all composites for arbitrarily
long k, where P1, P2, ..., Pk 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 < Pg+1 long arithmetic progressions, but the primes have no k > Pg+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