[4] **viXra:1005.0112 [pdf]**
*submitted on 31 May 2010*

**Authors:** Ervin Goldfain

**Comments:** 19 pages, This contribution represents a sequel to CSF 28, (2006), 913-922.

Relativistic quantum field theory (QFT) describes fundamental interactions between
elementary particles occurring in an energy range up to several hundreds GeV. Extending
QFT beyond this range needs to account for the imbalance produced by unsuppressed
quantum fluctuations and for the emergence of non-equilibrium phase transitions.
Our underlying premise is that fractal operators become mandatory tools when
exploring evolution from low-energy physics to the non-equilibrium regime of QFT.
Canonical quantization using fractal operators leads to the concept of "complexon",
a fractional extension of quantum excitations and a likely candidate for non-baryonic
Dark Matter. A discussion on the duality between this new field-theoretic framework
and General Relativity is included.

**Category:** High Energy Particle Physics

[3] **viXra:1005.0072 [pdf]**
*replaced on 23 May 2010*

**Authors:** Steven Kenneth Kauffmann

**Comments:** 14 pages, Also archived as arXiv:1005.2641 [physics.gen-ph].

Solitary-particle quantum mechanics' inherent compatibility with special relativity is implicit in Schrödinger's
postulated wave-function rule for the operator quantization of the particle's canonical threemomentum,
taken together with his famed time-dependent wave-function equation that analogously treats
the operator quantization of its Hamiltonian. The resulting formally four-vector equation system assures
proper relativistic covariance for any solitary-particle Hamiltonian operator which, together with its canonical
three-momentum operator, is a Lorentz-covariant four-vector operator. This, of course, is always the
case for the quantization of the Hamiltonian of a properly relativistic classical theory, so the strong correspondence
principle definitely remains valid in the relativistic domain. Klein-Gordon theory impairs this
four-vector equation by iterating and contracting it, thereby injecting extraneous negative-energy solutions
that are not orthogonal to their positive-energy counterparts of the same momentum, thus destroying the
basis of the quantum probability interpretation. Klein-Gordon theory, which thus depends on the square
of the Hamiltonian operator, is as well thereby cut adrift from Heisenberg's equations of motion. Dirac
theory confuses the space-time symmetry of the four-vector equation system with such symmetry for its
time component alone, which it fatuously imposes, thereby breaching the strong correspondence principle
for the free particle and imposing the starkly unphysical momentum-independence of velocity. Physically
sensible alternatives, with external electromagnetic fields, to the Klein-Gordon and Dirac equations are
derived, and the simple, elegant symmetry-based approach to antiparticles is pointed out.

**Category:** High Energy Particle Physics

[2] **viXra:1005.0052 [pdf]**
*replaced on 27 Oct 2010*

**Authors:** Bodo Lampe

**Comments:** 12 pages, 1 table, 1 figure

Spin models are considered on a discretized inner symmetry space with tetrahedral symmetry as
possible dynamical schemes for the tetron model. Parity violation, which corresponds to a
change of sign for odd permutations, is shown to dictate the form of the Hamiltonian. It is
further argued that such spin models can be obtained from more fundamental principles by
considering a (6+1)- or (7+1)-dimensional spacetime with octonion multiplication.

**Category:** High Energy Particle Physics

[1] **viXra:1005.0019 [pdf]**
*submitted on 7 May 2010*

**Authors:** A.G. Kyriakos

**Comments:** 12 Pages.

In the previous paper (http://vixra.org/abs/1003.0169), which can be considered as an introduction
to the nonlinear theory, we have shown that the Standard Model (S?) is not an axiomatic, but an
algorithmic theory. In the proposed article the simplest (minimum) axiomatics is examined from the
point of view of the possible forms of its mathematical representation.

**Category:** High Energy Particle Physics