[4] **viXra:0909.0041 [pdf]**
*submitted on 21 Sep 2009*

**Authors:** Jonathan J. Dickau

**Comments:** 23 Pages. Special thanks to Paola Zizzi, who invited this submission for the Quantum
Spaces special issue of Entropy. It was later withdrawn by the author, but appears here as
submitted, with a slight correction to the abstract.

Quantum-Mechanical objects and phenomena have a different nature, and follow a different set
of rules, from their classical counterparts. Two interesting aspects are the superposition of
states and the non-locality of objects and phenomena. A third aspect, that gives quantum-mechanical
objects which have common roots a non-local connection, is quantum entanglement. This paper takes
up the question of whether these three properties of quantum mechanical systems facilitate the
action of entropy's increase, in terms of creating a condition where energy is dispersing, or
going from being localized to being more spread out over time. Quantum Mechanics gives each
quantum entity the nature of a container or vehicle for both energy and information, some part
of which is necessarily non-local. The author feels that quantum-mechanical systems take on aspects
of computing engines, in this context. He discusses how the onset of chaos is possible with even
the simplest calculational processes, how these processes also result in complexity building,
and why both of these dynamics contribute to the character of entropy as observed in ordinary
affairs, or with macroscopic systems.

**Category:** Quantum Physics

[3] **viXra:0909.0038 [pdf]**
*submitted on 16 Sep 2009*

**Authors:** C. L. Herzenberg

**Comments:** 11 Pages.

An expanding universe of finite duration appears to impose limits on the temporal and
spatial extent of quantum waves. These limitations seem to be able to bring about
localization for sufficiently large quantum objects that can resemble classical behavior. A
threshold for a transition from quantum to classical behavior of a physical object is
derived in terms of the magnitude of its moment of inertia.

**Category:** Quantum Physics

[2] **viXra:0909.0035 [pdf]**
*replaced on 17 Apr 2010*

**Authors:** V.A.Induchoodan Menon

**Comments:** 12 Pages.

De Broglie when he introduced the concept of the phase wave to
represent a particle, he assumed that in the rest frame of reference the
particle will have the form of a standing vibration. According to the
author, this was a serious mistake. He shows that instead, had de
Broglie assumed a standing luminal wave structure for the particle, it
would have led him to very exciting insights. The author shows that
in a relativistic transformation the average energy and the momentum
of the forward and the reverse waves forming the standing wave
transform exactly like the energy and momentum of a particle.
Besides, the plane wave expansion which is used to represent a
particle in quantum mechanics is found to emerge directly from this
standing wave structure. He proposes to extend the approach to
incorporate the spin of the particle and also provide a simple
explanation for the Pauli's exclusion principle.

**Category:** Quantum Physics

[1] **viXra:0909.0004 [pdf]**
*submitted on 1 Sep 2009*

**Authors:** Carlos Castro, Jorge Mahecha

**Comments:** 16 pages, This article appeared in Progress in Physics vol. 1 (2006) 38-45.

A new nonlinear Schrödinger equation is obtained explicitly from the
(fractal) Brownian motion of a massive particle with a complex-valued
diffusion constant. Real-valued energy plane-wave solutions and solitons
exist in the free particle case. One remarkable feature of this nonlinear
Schrödinger equation based on a ( fractal) Brownian motion model, over
all the other nonlinear QM models, is that the quantum-mechanical energy
functional coincides precisely with the field theory one. We finalize by
showing why a complex momentum is essential to fully understand the
physical implications of Weyl's geometry in QM, along with the interplay
between Bohm's Quantum potential and Fisher Information which has
been overlooked by several authors in the past.

**Category:** Quantum Physics