The classical treatment of the Kepler problem leaves room for the description of the space region of the central body by a hyperbolic geometry. If the correspondence between the empty space and the space filled with matter is taken to be a harmonic mapping, then the region of atomic nucleus, like the one of the Sun for the planetary system proper, is described by hyperbolic skyrmions. This fact makes possible the description of the nuclear matter within framework of general relativity. The classical "hedgehog" solution for skyrmions can then be classically interpreted in terms of the characterizations of intra-nuclear forces.

The physicochemical properties of “smart” or stimuli-sensitive amphiphilic copolymers can be modeled as a function of their environment. In special, pH-sensitive copolymers have practical applications in the biomedical field as drug delivery systems. Interactions between the structural units of any polymer-drug system imply mutual constraints at various scale resolutions and the nonlinearity is accepted as one of the most fundamental properties. The release kinetics, as a function of pH, of a model active principle, i.e., Curcumin, from nanomicelles obtained from amphiphilic pH-sensitive poly(2-vinylpyridine)-b-poly(ethylene oxide) (P2VP-b-PEO) tailor-made diblock copolymers was firstly studied by using the Rietger-Peppas equation. The value of the exponential coefficient, n, is around 0.5, generally suggesting a diffusion process, slightly disturbed in some cases. Moreover, the evaluation of the polymer-drug system’s nonstationary dynamics was caried out through harmonic mapping from the usual space to the hyperbolic one. The kinetic model we developed, based on fractal theory, fits very well with the experimental data obtained for the release of Curcumin from the amphiphilic copolymer micelles in which it was encapsulated. This model is a variant of the classical kinetic models based on the formal kinetics of the process.

A fractal physics explanation for acute thrombotic occlusion in an apparently healthy coronary arteryThe acute arterial occlusion of an artery that has no significant preexistent lesions leads to dramatic consequences due to the lack of collateral substitutive circulation, as this kind of circulation usually develops within years in the presence of hemodynamic significant stenosis (1).Classical models which explain this phenomenon take into account the cracking of an intimal atheroma plaque, the activation of the prothrombogenic cascade through the denudation of the endothelium, and the formation of a completely occlusive thrombus in certain circumstances (2, 3). At least one counterargument should be considered: Why does an occlusive thrombus form so quickly in the absence of a stenosis when the sanguine flux is unaltered? Why the "wash-out'' phenomenon does not appear?Without contradicting these usual models, through a fractal model (4, 5), we will prove that the blocking of the lumen of an absolutely healthy artery can happen as a result of the "stopping effect" (even in the absence of disputable cracked and nonprotrusive atheroma plaque), in the conditions of a normal sanguine circulation.Therefore, if we consider blood a Bingham-type rheological fluid, then (1) where is the viscosity tangential unitary effort, is the deformation tangential unitary effort, is the velocity gradient with respect to the normal on the transversal section, and is the viscosity coefficient.Our fractal model (4, 5) was used for in vivo analyses of 10 clinical cases of patients with acute occlusive thrombus on an absolutely healthy artery. These cases were selected during a 2-year period (2013)(2014)(2015). Patients with atrial fibrillation were excluded for preventing mismatch with thromboembolic acute coronary occlusion. Patients with patent foramen ovale (diagnosed by transesophageal echocardiography) were excluded to avoid a paradoxical coronary embolism. Intravascular ultrasound or coronary CT angiography were not performed in these patients; although some irregularities could be seen on angiography, it is clear that there are no significant ulcerated atheroma plaques or major signs of parietal atherosclerosis. Also, in patients >50 years, an absolutely normal coronary wall is more likely a utopia. We performed EKG Holter monitoring in all patients for exclusion of paroxysmal atrial fibrillation.We present here the two most relevant cases (Fig. 1a-h) with thrombus dimensions of ≥60 mm (for the other eight cases, the thrombus dimensions were between 30 and 60 mm). For all the cases, our theoretical results were verified by coronarography images. 1) Patient 1 was a 52-year-old male patient who was diagnosed with acute inferolateral ischemia. Coronary angiography revealed an acute occlusive thrombus (4-4.5 mm diameter and 60-80 mm length) at the junction between segments I and II of the right coronary artery. After thrombus aspiration, a distal thrombotic embolism appeared with an apparently healthy artery (or possible minimal les...

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Abstract.The color is an interaction property: of the interaction of light with matter. Classically speaking it is therefore akin to the forces. But while forces engendered the mechanical view of the world, the colors generated the optical view. One of the modern concepts of interaction between the fundamental particles of matter -the quantum chromodynamics -aims to fill the gap between mechanics and optics, in a specific description of strong interactions. We show here that this modern description of the particle interactions has ties with both the classical and quantum theories of light, regardless of the connection between forces and colors. In a word, the light is a universal model in the description of matter. The description involves classical Yang-Mills fields related to color.