Singularity Transition in Biosystem with Infinite Number of Conserved Links with Surroundings

Stages of natural evolution such as biogenesis and abiogenesis are the well-recognized terms to characterize the very different phases of life development. Traditionally, an abiogenesis is believed as the early stage of evolution that is mainly the chemistry phase dealing with intercoupling between the complex polymer chains when manifestations of life assumes substantial participation of cooperative effects. It its turn, a biogenesis as the subsequent stage of evolution is the period for prevalence of Darwin’s laws showing, in particular, in battle among separate species in the way of variability-heredity contest. In this article, we discuss possible nature of the transition between above stages as a normal result of progress in an evolutionary system simulated by mathematical model of open system with infinite number of conserved links with system surroundings. It is shown that the biosystem, in transition point experiences the deep reconstruction in existing pattern of energy exchange which leads to emergence of the more complicated and advanced stage of evolution. Our study showed that the found transition point can be considered as a singularity point in system evolution. In its turn, the evolution stages with the dissimilar meaning are the physical placeholders for stage of abiogenesis and biogenesis in natural evolution, correspondingly.

Analysis of S waves singularity points in porous rock with two orthogonal sets of mesoscale fractures

SUMMARY The shear waves phase velocity surfaces in orthorhombic (ORT) and lower symmetry anisotropic models touch each other in one or more points resulting in so called singularity points or acoustic axes. These singularity points result in dramatic changes of velocities, amplitudes and polarizations creating problems in seismic data processing and analysis. Considering the frequency-dependent anisotropy due to mesoscale fractures in Chapman's model, we describe the singularity points in porous rock with two orthogonal sets of mesoscale fractures. First, we give the equations for frequency-dependent phase velocities of P, S1 and S2 waves in this anelastic ORT media. Then, we derive the expressions for frequency-dependent singularity points within the symmetry planes and discuss the conditions to detect the existence of singularity point. Finally, the influences of frequency, porosity, fracture density, fracture scale and saturating fluid style on the positions of singularity points within the symmetry plane are investigated.

Wave characteristics in elliptical orthorhombic media

An elliptical anisotropic medium is defined as a simplified representation of anisotropy in which the anelliptic parameters are set to zero in all symmetry planes. Despite of the fact that this model is rather seldom observed for real rocks, it is often used as a reference model. The P-wave equations for an elliptical anisotropic medium is well known. However, the S-wave equations have not been derived. Thus, we define all wave modes in elliptical orthorhombic models focusing mostly on the S-wave properties. We show that all wave modes in elliptical orthorhombic model are generally coupled and analyze the effect of additive coupling term. As the result, there is an S wave fundamental singularity point located in one of the symmetry planes depending on the relative magnitude of S wave stiffness coefficients.

AI, Norms, Big Data, and the Law

This is an overview article regarding artificial intelligence (AI) and its potential normative implications. Technology has always had inherent normative consequences not least due to AI and the use of algorithms. There is a crucial difference between algorithms in a technical sense and from a social-science perspective. It is a question of different orders of normativity—the first related to the algorithm as a technical instruction and the second to the consequences springing from the first order. I call these last-mentioned norms algo norms. These are embedded in the technology and determined by the design of the AI. The outcome is an empirical question. AI and algo norms are moving targets, which call for a novel scientific approach that relates to advanced practice. Law actualizes primarily for preventive reasons in relation to negative aspects of the new technology. No major regulatory scheme for AI exists. In the article, I point out some areas that raise the need for legal regulation. Finally, I comment on three main challenges for the digital development in relation to AI: (1) the energy costs; (2) the singularity point; and (3) the governance problems.

Quantum corrections to the accretion onto a Schwarzschild black hole in the background of quintessence

It is well known that quantum effects may lead to removal of the intrinsic singularity point of back holes. Also, the quintessence scalar field is a candidate model for describing late-time acceleration expansion. Accordingly, Kazakov and Solodukhin considered the existence of back-reaction of the spacetime due to the quantum fluctuations of the background metric to deform a Schwarzschild black hole, which led to a change of the intrinsic singularity of the black hole to a 2-sphere with a radius of the order of the Planck length. Also, Kiselev rewrote the Schwarzschild metric by taking into account the quintessence field in the background. In this study, we consider the quantum-corrected Schwarzschild black hole inspired by Kazakov–Solodukhin’s work, and the Schwarzschild black hole surrounded by quintessence deduced by Kiselev to study the mutual effects of quantum fluctuations and quintessence on the accretion onto the black hole. Consequently, the radial component of the 4-velocity and the proper energy density of the accreting fluid have a finite value on the surface of its central 2-sphere due to the presence of quantum corrections. Also, by comparing the accretion parameters in different kinds of black holes, we infer that the presence of a point-like electric charge in the spacetime is somewhat similar to some quantum fluctuations in the background metric.

Man in Time: Russia — the Last Century

The last century is filled with victories and failures, passions, and interests. World wars and revolutions, the change of political regimes, ideologies, and ideological orientations — all this provoked a formation of social and political chaos, which sometimes had to be overcome in a totalitarian way through sole commanding and by one-party dictatorship. At the same time, one can observe the successes of cognition, culture, scientific and technological development, which, however, can hardly be called “progress”. Because the mass destruction weapons of certain “partners” in globalism have also been increased. Ready for self-destruction, “man in time” did not become yet the master of his destiny in the last century, but in many ways remained a mystery to himself. Despite the fact that over the past century man has learned a lot about his own psychology, consciousness and subconscious, he still needs further self-knowledge no less than in those times when the Oracle of Delphi called for it. Today, as ancient times, one needs to know better what motivates his sometimes rational, and sometimes, mildly speaking, very strange behavior. Who is man in time? To understand this, one must go beyond the limits of itself being to other times and spaces. Even to times and spaces of a cosmic scale, to the spaces and to the depths of our Universe, where a man was born and will disappear, perhaps preserved in its cosmic memory. The memory of the Universe is symbolized by world constants that arose as a result of the Big Bang and the birth of the Universe from a singularity point. Memory of man inherits this property of the Cosmos. The memory is a system-forming factor that creates man and its world. This is what rigorous science can offer to explain the cosmic origin of man and his memory. Artistic imagery can continue the efforts of science. Culture, literature, first of all, can create imageries that will tell about man and his time more than abstract theory. The imageries will tell that man has not yet lost his freedom of creativity. He must remember the past, live in the present, look and go to the future.

Triple-Cell Origami Structure for Multistable Transition Sequences

With the infinite design space and the excellent folding-induced deformability, origami has been recognized as an effective tool for developing reconfigurable structures. Particularly, the multistable origami structure, which possesses more than one stable configuration that is distinct in shape and mechanical properties, has received wide research attention. Generally, the origami structure reaches a kinematic singularity point when switching among different stable configurations. At this critical state, multiple switching sequences are possible, and the actual transition is generally hard to predict. In this paper, evolving from the conventional bistable Miura-ori unit, a triple-cell origami structure with eight potential stable configurations is proposed, which serves as a platform for investigating the transition sequences among different stable configurations. To quantify the overall elastic potential of the structure, besides the conventional elastic energy originating from the rigid folding creases, extra elastic potential induced by the mismatch among the cells are introduced, so that folding of the triple-cell structure is no longer a strict single degree-of-freedom mechanism. Instead, the three cells can deform asynchronously to avoid reaching the kinematic singularity point. Hence, under displacement loading, the transition sequence of the multistable structure is predicted by performing optimization on the elastic potential energy. It shows that sequences with multifarious characteristics are possible, including reversible and irreversible transitions, and transitions with symmetric and asymmetric energy barriers. Considering that the fundamental transition mechanisms are of great significance in understanding the quasi-static and dynamic behaviors of multistable structures, the results could be potentially employed for developing morphing structures, adaptive metamaterials, and mechanical logic gates.