Analog of Planck's constant for a colloid system

Based on the assumption of the instability of the colloidal state caused by the movement of charged particles, we previously obtained equations characterizing the structure of the colloid: a Schrödinger-type equation that defines the redistribution of thermal and potential energy in the colloid and a material equation – the diffusion equation with the Liesegang operator, which is connected directly with the substance, allowing find breaks in structures caused by vibrations of electrically charged particles. Such effects for colloidal chemical manifestations are called macroscopic quantum effects. That is, macroscopic quantum effects are a combination of phenomena in which the characteristic features of quantum mechanics are directly manifested in the behavior of macroscopic, for example, colloidal objects. As a rule, the behavior of macroscopic objects contains a large number of atoms and is described with high accuracy by the equations of classical physics, which do not include the characteristic quantum value – the constant bar. Based on the equations constructed by the authors, which are the equations of plasma hydrodynamics, a mathematical model is created that reduces the colloidal system to an equation similar to the Schrödinger equation and calculates a certain constant that is an analogue of the Planck constant for macroscopic colloidal systems and computes the constant of this equation , which is equal in magnitude . It differs significantly in magnitude from the Planck constant, because it characterizes the already complex macroscopic quantum oxyhydrate colloidal system.

On macroscopic intricate states

Purpose The present contribution is in the field of quantum modelling of macroscopic phenomena. The focus is on one enigmatic aspect of quantum physics, namely, the Einstein–Podolsky–Rosen paradox and entanglement. After a review of the state-of-the-art concerning macroscopic quantum effects and quantum interaction, this paper aims to propose a link between embryology and acupuncture in the framework of macroscopic intricate states induced by quantum mechanics. Design/methodology/approach The author uses the fractaquantum hypothesis which supposes that the quantum framework is applicable to all insecable elements in nature, whatever their size. Findings This contribution considers an open question related to a possible link between acupuncture and embryology: can a weak form of intrication be maintained during stem cell division to interpret the acupuncture meridians as an explicit manifestation of a macroscopic intricate system? The macroscopic structure suggested by quantum mechanics could be a beginning of explanation of acupuncture through the embryologic development. Research limitations/implications A fundamental hypothesis is the fact that during cell division, cells keep some weak intrication. Practical implications This contribution suggests a structure of the acupuncture meridians. The links between the acupuncture points have to be searched in the embryologic development of the individual through a weak remaing intrication of some of his cells and not in present explicit relations. Social implications A new link between occidental and oriental cultures is explored. Originality/value This contribution suggests conceptual links between acupuncture, embryology and macroscopic intricate states.

Excitation Spectrum of the Néel Ensemble of Antiferromagnetic Nanoparticles as Revealed in Mössbauer Spectroscopy

The excitation spectrum of the Néel ensemble of antiferromagnetic nanoparticles with uncompensated magnetic moment is deduced in the two-sublattice approximation following the exact solution of equations of motion for magnetizations of sublattices. This excitation spectrum represents four excitation branches corresponding to the normal modes of self-consistent regular precession of magnetizations of sublattices and the continuous spectrum of nutations of magnetizations accompanying these normal modes. Nontrivial shape of the excitation spectrum as a function of the value of uncompensated magnetic moment corresponds completely to the quantum-mechanical calculations earlier performed. This approach allows one to describe also Mössbauer absorption spectra of slowly relaxing antiferromagnetic and ferrimagnetic nanoparticles and, in particular, to give a phenomenological interpretation of macroscopic quantum effects observed earlier in experimental absorption spectra and described within the quantum-mechanical representation.