IV. Ecosmomics: Independent Complex Network Systems, Computational Programs, Genetic Ecode Scripts

4. Universality Affirmations: A Critical Complementarity

Cocho, Germinal, et al. Rank Diversity of Languages: Generic Behavior in Computational Linguistics. PLoS One. Online April 7, 2016. Universidad Nacional Autónoma de México systems scientists including Carlos Gershenson describe self-similar recurrences in literary volumes with regard to how often specific words appear. As a comment, once again a double domain seems evident as even our narrative stories are found to exhibit the same, independent mathematical trace as everywhere else. See also in this journal Universality of Rank-Ordering Distributions in the Arts and Sciences by Gustavo Martinez-Mekler, et al (4/3, 2009). This work and many current papers appear to be closing on an epochal discovery, which has been intimated and sought through history, that some vital, informative source repeats itself as it manifests, genetic-like, in every emergent temporal and spatial realm.

Statistical studies of languages have focused on the rank-frequency distribution of words. Instead, we introduce here a measure of how word ranks change in time and call this distribution rank diversity. We calculate this diversity for books published in six European languages since 1800, and find that it follows a universal lognormal distribution. Based on the mean and standard deviation associated with the lognormal distribution, we define three different word regimes of languages: “heads” consist of words which almost do not change their rank in time, “bodies” are words of general use, while “tails” are comprised by context-specific words and vary their rank considerably in time. The heads and bodies reflect the size of language cores identified by linguists for basic communication. We propose a Gaussian random walk model which reproduces the rank variation of words in time and thus the diversity. (Abstract)

Corbetta, Alessandro and Federico Toschi. Physics of Human Crowds. Annual Review of Condensed Physics. 14/311, 2023. Eindhoven University of Technology system theorists provide a strong, exemplary illustration of how our public lives can also be seen to actually reflect the presence of an independent, common, mathematic program-like source. Yes, people indeed have their own wills, yet going forward, by our 21st century organic revolution it would serve us one and all to be aware of this deeper genetic-like guidance.

Understanding the behavior of human crowds is a key step toward a safer society and more livable cities. Despite the individual variability and will of single individuals, human crowds, from dilute to dense, invariably display a remarkable set of universal features and statistically reproducible behaviors. Here, we review ideas and recent progress in employing the language and tools from physics to develop a deeper understanding about the dynamics of pedestrians. (Abstract)

D’Amico, Guido, et al. A Theory of Taxonomy. arXiv:1611.03890. Physicists Guido, CERN Geneva, and Raul Rabadan, NYU, with biologist Matthew Kleban, Columbia University apply this method of species assortment to detect an invariant pattern across a wide range of natural and social phenomena. Search Didier Fraix-Burnet for a similar array for distributions of galaxies. Whatever does all this mean – might there be a cosmic anatomy and physiology?

A taxonomy is a standardized framework to classify and organize items into categories. Hierarchical taxonomies are ubiquitous, ranging from the classification of organisms to the file system on a computer. Characterizing the typical distribution of items within taxonomic categories is an important question with applications in many disciplines. Ecologists have long sought to account for the patterns observed in species-abundance distributions and computer scientists study the distribution of files per directory. Is there a universal statistical distribution describing how many items are typically found in each category in large taxonomies? Here, we analyze a wide array of large, real-world datasets -- including items lost and found on the New York City transit system, library books, and a bacterial microbiome -- and discover such an underlying commonality. A simple, non-parametric branching model that randomly categorizes items and takes as input only the total number of items and the total number of categories successfully reproduces the abundance distributions in these datasets. (Abstract)

Daniels, Bryan, et al. Criticality Distinguishes the Ensemble of Biological Regulatory Networks. Physical Review Letters. 121/138102, 2018. An ASU based collaboration of BD, Hyunju Kim, Doug Moore, Siyu Zhou, Harrison Smith, Brad Karas, and Sara Walker, along with Stuart Kauffman, achieve a strongest articulation to date of nature’s constant tendency to seek and reach a preferred, optimum poise and balance of archetypal conservative order and liberal creativity states. One is naturally led onto yin and yang, feminine and masculine principles, entity/empathy, fire/love, DNA/AND, brain hemispheres so on everywhere and forever. Each bigender harmony then forms and resides within a tripartite familial genome, quantum, atome, neurome, cosmome, atome and Taome. We gloss, but here and in concurrent 2018 entries is auspicious evidence for an historic, literate discovery of a once and future human uniVerse genesis code. An earlier version, Logic and Connectivity Jointly Determine Criticality in Biological Gene Regulatory Networks, is at arXiv:1805.01447.

The hypothesis that many living systems should exhibit near-critical behavior is well motivated theoretically, and an increasing number of cases have been demonstrated empirically. Here, we provide a first comprehensive survey of criticality across a diverse sample of biological networks, leveraging a database of 67 Boolean models of regulatory circuits, all of which are near critical. We show that criticality in biological networks is not predictable solely from macroscale properties. Instead, the ensemble of real biological circuits is jointly constrained by the local causal structure and logic of each node. In this way, biological regulatory networks are more distinguished from random networks by their criticality. (Abstract excerpt)

Davis, Martin. Universality is Ubiquitous. Floyd, Juliet and Alisa Bokulich, eds. Philosophical Explorations of the Legacy of Alan Turing. International: Springer, 2017. In this Volume 324 of the Boston Studies in the Philosophy and History of Science series, the NYU Courant Institute emeritus mathematician advises that this computational revolution reveals and quantifies a natural code in operation which programs life’s Earthly and cosmic evolution. As the algorithmic source independently runs, it results in exemplary instantiations, a universal repetition, at each and every stage and instance. In our worldwide midst, if of a mind to reflect, an epochal magnum opus, great work fulfillment is just being achieved.

6.5 Universality in Nature: Stephen Wolfram has famously argued for the significance of the existence of tiny abstract structures that already exhibit universality. In particular he has argued that universality is important in biological evolution. I conjecture that he is correct about this, though perhaps not in the way he intends. My conjecture is that DNA participates in the execution of algorithms that act on germ-plasm and so effect, and I’m guessing, speed up evolution. Let us suppose that the DNA includes a record of past evolutionary development. Next suppose that as part of the reproductive process algorithms modify the germ-plasm based on this record. If the change is beneficial to survival, Darwinian natural selection will preserve it. If anything like this is correct, then evolutionary change will not have been entirely dependent on random mutations, but will also include a quasi-teleological aspect. (157-158 excerpts)

De, A., et al. Non-equilibrium Critical Scaling and Universality in a Quantum Simulator.. arXiv:2309.10856. In a paper that could be seen as a thirty year review of these natural oscillatory dynamics from early inklings to our consummate global stage, University of Maryland, Michigan State University, Johns Hopkins University, Rice University, and Duke University computational theorists here describe their similar, default effectiveness even in these previously remote realm. And we record once again how the first paragraph cites this current fulfillment from universe to human.

Universality and scaling laws are hallmarks of equilibrium phase transitions and critical phenomena. However, extending these concepts to non-equilibrium systems remains a challenge. Here we use a trapped-ion quantum simulator to investigate non-equilibrium critical fluctuations following a quantum quench to the critical point. We show that the amplitude and timescale of the post-quench fluctuations scale with system size with distinct universal critical exponents. Our results demonstrate the ability of quantum simulators to explore universal scaling beyond the equilibrium paradigm. (Excerpt)

In recent years, much progress has been achieved in understanding emergent behaviour of isolated quantum systems out of equilibrium. Non-equilibrium many-body systems can now be studied by quantum dynamics. In the vicinity of a phase transition, the dynamics should give rise to universal critical behaviour which leads to scale-invariant spatio-temporal correlations. In general, universal non-equilibrium phenomena are relevant far beyond the scope of atomic, molecular and optic condensed matter physics, along with chemistry and biology. Examples range from glassy transitions in polymers, colloidal gels, and spin glasses to symmetry-breaking transitions in the Universe after the ‘Big Bang’ which all exhibit non-equilibrium critical behaviour. (1)

In this work, we have demonstrated the ability to identify the dynamical critical point of a disorder-to-order phase transition in a 1D transverse-field Ising model. We have observed the non-equilibrium critical behaviour upon single and double quenches with up to 50 ions and extracted the universal scaling exponents. Demonstrating the universal scaling behaviour highlights the self-verification ability of the quantum simulators in a regime that is difficult to access in classical computers. (5

Deco, Gustavo, et al. Deco, Gustavo, et al. Complex harmonics reveal low-dimensional manifolds of critical brain dynamics. Physical Review E. 111/014410, January, 2025. Universitat Pompeu Fabra, Barcelona and Oxford University open another window to view a neural-like nature which evolves and proceeds to attain a twintelligence (herein a reciprocal poise) and effective cognizance by way of this inherent self-organized complementarity and familiarity. We also note that the paper appears in a traditional physics journal as the two realms grow together and reunite as one.

The brain needs to perform time-critical computations to ensure survival, for which nonlocal, distributed computation at the whole-brain level make possible by self-organized criticality. These responses accord with Schrödinger's wave equation, so as to form a complex harmonics decomposition (CHARM) framework to express the complex network dynamics that are the key computational engines of critical brain dynamics. (Excerpt)

Del Papa, Bruno, et al. Criticality Meets Learning: Criticality Signatures in a Self-Organizing Recurrent Neural Network. PLoS One. May 26, 2017. Computational neuroscientists BDP and Jochen Triesch, Goethe University, Frankfurt, and Viola Priesemann, MPI Dynamics and Self-Organization press on with studies of a neural propensity to seek and reside at a preferred, simultaneous poise of more or less orderly states.

Many experiments suggest that the brain operates close to a critical state, based on signatures such as power-law distributed neuronal avalanches. In neural network models, criticality is a dynamical state that maximizes information processing capacities, e.g. sensitivity to input, dynamical range and storage capacity. Although models that self-organize towards a critical state have been proposed, the relation between criticality signatures and learning is still unclear. Here, we investigate criticality in a self-organizing recurrent neural network (SORN). We show that, after a transient, the SORN spontaneously self-organizes into a dynamical state that shows criticality signatures comparable to those found in experiments. Overall, our work shows that the biologically inspired plasticity and homeostasis mechanisms responsible for the SORN’s spatio-temporal learning abilities can give rise to criticality signatures in its activity. (Abstract excerpt)

Dobrovolska, Olena. Interrelationship Between Fractal Ornament and Multilevel Selection Theory. Biosemiotics. Online May, 2018. A Kharkiv National University of Radioelectronics, Ukraine philosopher achieves a unique synthesis across the sciences and the cultural ages. From an ancient land beset by internecine conflict, a woman scholar is able to cast an intellectual survey to broach an animate natural iteration. If to allow and consider, it promises to fulfill perennial wisdom as it reveals a universally recurrent pattern and process. As our worldwide sapience finds a cosmic biosemiosis via an informational agency, such a self-similarity and reference in kind can be noticed at each and every scale and instance. See also a 2018 paper by O. Mryglod for more an Ukranian uniVerse.

Interdisciplinarity is one of the features of modern science, defined as blurring the boundaries of disciplines and overcoming their limitations or excessive specialization by borrowing methods from one discipline into another, integrating different theoretical assumptions, and using the same concepts and terms. Biosemiotics, a field that arose at the crossroads of biology, semiotics, linguistics, and philosophy, enables scientists to borrow theoretical assumptions from semiotics and extend them to different biological theories. In the present research, the semiotic system of Ukrainian folk ornament is analyzed through the theory of fractals, key features of which are recursion and self-similarity. What follows is a discussion of how this assumption can contribute to the multilevel selection theory, one of the foundations of extended synthesis, which employs the concept of self-similarity at all levels of the biological hierarchy. (Abstract)

In the present research, the semiotic system of Ukranian folk ornament is analyzed through the theory of fractals, key features of which are recursion and self-similarity. As a result, an assumption is made about the fractal structure of culture and social life on a conceptual level. What follows is a discussion of how this assumption can contribute to the multilevel selection theory, one of the foundations of extended synthesis, which employs the concept of self-similarity at all levels of the biological hierarchy. (2)

Another typical fractal symbol is the Tree of Life, which is self-similar in two dimensions. First, the tree-shape is itself fractal, since every branch is a small, virtually identical copy of the whole tree. Second, self-repetition is evident in the structure of trees. The Tree of Life, which holds a special place in Ukranian culture, representing as it does the Universe and nature on one hand and the family on another. This symbol crops uo in many areas of Ukranian folk art, since the Tree represents the universe and the diversity of life forms, uniting the underworld (roots), the Earth (trunk), and heaven (branches). At the same time, it unites spirit (the growing parts during summertime: leaves, blossoms, and fruit) and matter (the bulk of the tree during the year). The other meaning is the family, consisting of many generations linking past, present, and future. Roots would be a family’s ancestors, while branches with leaves and blossoms would represent present and future generations. The tree of life emphasizes the similarity between humankind and family, the Universe and the individual. (12-13)

Dodig-Crnkovic, Gordana. Information, Computation, Cognition: Agent-Based Hierarchies of Levels. Muller, Vincent, ed. Fundamental Issues of Artificial Intelligence. Switzerland: Springer, 2016. In this select collection from a Philosophy and Theory of AI conference at Oxford University, the Chalmers University theorist, among her many writings (search) again offers a cogent recitation of life’s emergent, nested, repetitive iteration from atomic and biomolecular origins to our aware collective cognizance. This cosmic and Earthly evolution is seen to proceed by an interplay of agent entities in relational communication. As many concurrent papers herein attest, a fractal self- similarity is thus said to repeat in kind from universe to humanity.

In order to study within one framework cognition in living organisms (including humans) and machines (including cognitive software), this article is generalizing some common ideas, thus using extended concepts of , , , , , , , and . The basis is the idea of nature as a network of networks of that exchange information. This generalized type of exist on the level of fundamental particles, then on the higher level of atoms as composed of networks of elementary particles, then higher still there are molecules consisting of atoms as . Up in hierarchy of levels of organization of agents there are cells as networks of molecules, organisms as networks of cells, ecologies as networks of organisms, etc. In short there is a fractal structure with recurrent pattern of agents within agents on a variety of levels of organization. (142)

This volume offers a look at the fundamental issues of present and future AI, especially from cognitive science, computer science, neuroscience and philosophy. This work examines the conditions for artificial intelligence, how these relate to the conditions for intelligence in humans and other natural agents, as well as ethical and societal problems that artificial intelligence raises or will raise. The key issues this volume investigates include the relation of AI and cognitive science, ethics of AI and robotics, brain emulation and simulation, hybrid systems and cyborgs, intelligence and intelligence testing, interactive systems, multi-agent systems, and super intelligence. (Publisher)

Dunham, Christopher, et al. Nanoscale Neuromorphic Networks and Criticality. Journal of Physics: Complexity. 2/4 December, 2021. We record this entry by nine UCLA, University of Sydney, and UnLAB, Savannah, GA researchers as a latest example of many wide and deep areas where critical point behavior is being found. Its dynamic distinction is to become situated and balanced between more or less orderly or coherent phases. (As chimera theory notes, often in both states at once.) The paper reviews these phenomenal findings and goes on to describe how cerebral activity is seen as an archetypal instance.

Numerous studies suggest critical dynamics may play a role in information processing and task performance in biological systems. However, studying these systems can be challenging due to many biological variables that limit access to underlying physical processes. Here we offer a perspective on the use of abiotic, neuromorphic nanowire networks as a means to investigate critical dynamics in complex adaptive systems. Neuromorphic nanowire networks are composed of metallic nanowires and metal-insulator-metal junctions. They self-assemble into interconnected, variable-density forms and exhibit nonlinear electrical switching properties and information processing capabilities. We posit that such neuromorphic networks can function as abiotic physical systems for studying critical dynamics and computation. (Abstract excerpt)

Ermann, Leonardo, et al. Google Matrix Analysis (GMA) of Directed Networks. Reviews of Modern Physics. 87/4, 2015. Theoretical physicists Ermann, CNEA Argentina, with Klaus Frahm and Dima Shepelyansky (search), University of Toulouse, write a lengthy tutorial on such scale-free mathematical and topological methods including Markov chains, which are found to similarly apply from genomes to economies. But searching the title phrases does not result in a simple definition. As a gloss, a meld of directed graphs with weighted, oriented edges and the PageRank algorithms, topics considered in initial pages. This generic pattern is seen to appear in software architecture, the worldwide web, Wikipedia, social media, global trade, scientific citations, neural nets, gene regulation, and more. An allusion is made to Jorge Borges’ The Library of Babel that such a common recurrence could begin to bring some organizational sense across nature and society. See also prior papers GMA of DNA Sequences (1301.1626), and GMA of C.elegans Neural Network (1311.2013), and GMA of the World Network of Economic Activities (1504.06773) by these authors and colleagues. A further surmise might be that the constant system is much akin to a genome, a semblance of a universe to human genetic code.

In past ten years, modern societies developed enormous communication and social networks. Their classification and information retrieval processing become a formidable task for the society. Due to the rapid growth of World Wide Web, social and communication networks, new mathematical methods have been invented to characterize the properties of these networks on a more detailed and precise level. Various search engines are essentially using such methods. It is highly important to develop new tools to classify and rank enormous amount of network information in a way adapted to internal network structures and characteristics. This review describes the Google matrix analysis of directed complex networks demonstrating its efficiency on various examples including World Wide Web, Wikipedia, software architecture, world trade, social and citation networks, brain neural networks, DNA sequences and Ulam networks. The analytical and numerical matrix methods used in this analysis originate from the fields of Markov chains, quantum chaos and Random Matrix theory. (Article Abstract)

For DNA sequences of various species we construct the Google matrix G of Markov transitions between nearby words composed of several letters. The statistical distribution of matrix elements of this matrix is shown to be described by a power law with the exponent being close to those of outgoing links in such scale-free networks as the World Wide Web (WWW). At the same time the sum of ingoing matrix elements is characterized by the exponent being significantly larger than those typical for WWW networks. This results in a slow algebraic decay of the PageRank probability determined by the distribution of ingoing elements. The spectrum of G is characterized by a large gap leading to a rapid relaxation process on the DNA sequence networks. We introduce the PageRank proximity correlator between different species which determines their statistical similarity from the view point of Markov chains. The properties of other eigenstates of the Google matrix are also discussed. Our results establish scale-free features of DNA sequence networks showing their similarities and distinctions with the WWW and linguistic networks. (1301.1626 Abstract)

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