Authors:
Vu B Ho
Pages: 139 - 146 Abstract: As shown in our work on spacetime structures of quantum particles, Schrödinger wavefunctions in quantum mechanics can be utilised to construct the geometric structures of quantum particles which are considered to be three-dimensional differentiable manifolds. In this work we will extend this kind of geometric formulation of quantum particles by showing that wavefunctions that are normally used to describe wave phenomena in classical physics can in fact also be utilised to represent three-dimensional differentiable manifolds which in turns are identified with quantum particles. We show that such identification can be achieved by using a three-dimensional wave equation to construct three-dimensional differentiable manifolds that are embedded in a four-dimensional Euclidean space. In particular, the dual character that is resulted from the identification of a wavefunction with a three-dimensional differentiable manifold may provide a classical basis to interpret the wave-particle duality in quantum mechanics. PubDate: 2018-09-26 DOI: 10.12691/ijp-6-5-1 Issue No:Vol. 6, No. 5 (2018)

Authors:
A. Waddahou; M. Chahid, A. Maârouf Pages: 147 - 154 Abstract: The aim of this paper is to determine the full order parameter profiles close to the surface for a system made of two strongly coupled paramagnetic sublattices of respective moments φ and ψ. The material exhibits a para-ferrimagnetic transition at some critical temperature Tc greater than the room temperature. The free energy describing the physics of the system is of Landau type, and involves, beside quadratic and quartic terms in both φ and ψ, a lowest-order coupling, -Coφψ where Co0, we determine the order parameter profile near surfaces. We show, in particular, that the magnetization behavior is governed, in addition of λs and the bulk correlation length ξb-, by a new length La. We have interpreted this latter as the width of the ordered ferrimagnetic layer close to the surface. Finally, we examine the extraordinary (λsTc) transitions. PubDate: 2018-10-07 DOI: 10.12691/ijp-6-5-2 Issue No:Vol. 6, No. 5 (2018)

Authors:
XiaoLin Li
Pages: 155 - 160 Abstract: In the projection gravitation theory, the center of a gravitational source is an empty hole, not black hole. The gravitation can be understood as a new kind of Lorentz symmetry breaking. Multiple empty holes can merge together to form a large empty hole. So the empty holes form a thermodynamic system. So the empty hole has thermodynamic properties, such as entropy and temperature. We discuss two models of empty holes merging. The first model derives out a result that empty hole entropy is proportional to the radius of the empty hole. The second model can simply derive out the formula of black hole entropy in General Relativity. The black hole entropy is just a special case in empty hole. Two models get the same result that the temperature of the empty hole is inversely proportional to its radius. The empty hole has a new statistical distribution mode, that is the empty hole distribution. In the new projection gravitation, the Planck energy and the Planck length have a new and different physical meaning. The two constants represent a special kind of association relationship that has not yet been understood by humans. PubDate: 2018-10-12 DOI: 10.12691/ijp-6-5-3 Issue No:Vol. 6, No. 5 (2018)