Invariance under twisting for crossed products

We prove a result of the type ''invariance under twisting'' for Brzezinski's crossed products, as a common generalization of the invariance under twisting for twisted tensor products of algebras and the invariance under twisting for quasi-Hopf smash products. It turns out that this result contains also as a particular case the equivalence of crossed products by a coalgebra (due to Brzezinski).Comment: 8 page

Epigenetic Information-Body Interaction and Information-Assisted Evolution from the Perspective of the Informational Model of Consciousness

Introduction: the objective of this investigation is to analyses the advances of understanding in the epigenetic processes and to extract conclusions concerning the information-based evolution from the perspective of the Informational Model of Consciousness (IMC). Analysis of epigenetic mechanisms: it is shown that the study of the epigenetic mechanisms are of increasing interest not only to discover the responsible mechanisms of some diseases, but also to observe the acquisition and transmission mechanisms of some traits to the next generation/ transgenerations, without affecting the DNA sequences. These advances were especially supported by the spectacular progresses in the high technological tools like digital microfluidic techniques and semiconductor-based detection systems, allowing to apply sequencing methods of DNA and to observe its structural modifications. The specific typical steps of the epigenetic mechanisms are analysed, showing that these mechanisms could be fully described in terms of information, as signal transmission agents embodying or disembodying information in three different stages and under specific conditions, including especially the signal persistence as a main conditional epigenetic factor. Results concerning the information-assisted evolution from the perspective of IMC: the epigenetic mechanisms are discussed as a function of each component of the informational system of the organism, consisting in memory, decisional operability, emotional reactivity, metabolic driving processes, genetic transmission, genetic info-generator and the info-connection explaining the special extra-power properties of the mind. It is shown that the epigenetic mechanisms could be related to the specific functions of each informational component, mainly exhibiting five levels of integration of information as matter-related information, culminating with the stable integration in the procreation cells and transmission to the next generation. The results were extended to explain the transgenerational adaptive processes of isolated population groups. Conclusion: the epigenetic mechanisms discussed within IMC allow to understand the transgenerational adaptation as an information-assisted proces

The Informational Model of Consciousness: Mechanisms of Embodiment/Disembodiment of Information

It was shown recently that information is the central concept which it is to be considered to understand consciousness and its properties. Arguing that consciousness is a consequence of the operational activity of the informational system of the human body, it was shown that this system is composed by seven informational components, reflected in consciousness by corresponding cognitive centers. It was argued also that consciousness can be connected to the environment not only by the common senses, but also by a special connection pole to the bipolar properties of the universe, allowing to explain the associated phenomena of the near-death experiences and other special phenomena. Starting from the characteristics of this model, defined as the Informational Model of Consciousness and to complete the info-communication panorama, in this paper it is analyzed the info-connectivity of the informational system with the body itself. The brain areas where the activity of each informational component are identified, and a definition of consciousness in terms of information is proposed. As the electrical connectivity by means of the nervous system was already proved, allowing the application of the analysis and developing tools of the information science, a particular attention is paid to the non-electrical mechanisms implied in the internal communication. For this, it is shown that the key mechanisms consists in embodiment/disembodiment processes of information during the inter and intra communication of the cells. This process can be modeled also by means of, and in correlation with specific concepts of the science and technology of information, referred to network communication structures, and is represented by epigenetic mechanisms, allowing the acquired trait transmission to the offspring generation. From the perspective of the informational model of consciousness, the human organism appears therefore as a dynamic reactive informational system, actuating in correlation with matter for adaptation, by embodiment/disembodiment processes of information