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A Sourcebook for the Worldwide Discovery of a Creative Organic Universe
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A. A Familiar Ecode: An Ecosmome to Geonome Critical Complementarity is Being Found Everywhere


The present entry is a circa 2018 – 2023 review and preview as an EarthSmart personsphere seems to reach a new phase of an integral convergent synthesis which closes on an actual discovery. This Planatural resource online since 2002 now covers 4,000 text pages with some 9,000 references across 85 sections. After the new, extensive Introduction above, here we enter another, latest survey with a current recital of its premises and rationales as a drafty, synoptic, outline proposal, so to ever gather so many aspects into natural narrative edification.

A Caveat Please recall that all this content is attributed to and drawn from a 21st century advent of a global person/sapiensphere whom might be learning and knowing on her/his own. Our premise is that such findings can be found across the scientific journals, if of a mind to allow and peruse. We record these writings are not my opinion but evidently there by themselves.

Altogether this reference resource entry has three modular parts. It opens with a 2023 EarthWise State of a Genesis UniVerse as an update survey of philosophia views and scientific achievements after the circa 2020 review above. The next section is Ecosmomics: 21 Century Studies of Independent, Generative, Self-Organized, Complex Adaptive Network Critical Systems. as an extensive 21st century retrospect of nonlinear, complexity science and statistical physics.

A 1990s – 2000 – 2015 period mostly engaged structural aspects by way of many interactive enties. Into the later 2010s, an increased perception and proof of a constant dynamic, cyclical activity began. By turns, a self-organized criticality, chimera oscillations, bistability, creative coherence became evident. Early on, neuroscientists found that cerebral faculties resided at an optimum poise of more or less order, inhibit or excite, and so on. By this 2023 year, a glimpse of a historic HumanEarth Discovery of a natural geneis graced and guided by one common, bigender, genetic-like ecode might at last be possible.



EARTHWISE 2022 STATE OF A GENESIS UNIVERSE

This ongoing review/preview is arranged inio several segments. It opens with a latest survey of apparent brain/mind-like cognitive qualities of a collective EarthSmart sapience. Our “second culture” Planatural PhiloSophia approach may then gather many convergent scientific aspects so as to envision an independent, abiding essence. As a main result, an array of revolutionary ecosmos uniVerse to EarthVersion features are recited as they just now reveal a unified, consistent procreative genesis. Its organic fertile, vitality arises from a self-organized, genomic-like code-script which energizes and informs a temporal course from uniVerse to us peoples.. We proceed with with a present glimpse fo a common, bigender, ciritical Naturome Ecode.

To continue, our rarest Earth has been able to support an evolutionary course of bodies, brains, intelligence, agency and selves to an extent it now appears as an episodic, unfolding, embryonic gestation. By this unique retrospect, an apparent Geonativity event at term is alluded to. But in the past few years, as Our EarthMost Occasion documents, a singular significance for our home bioplanet as a unique fittest candidate has arisen. By turns, if kinder wins over cinder, a sustainable Earthropocene era and ecocreative Ecosmocene futurity can open wide going forward.

Planatural PhiloSophia Wisdome

Major Evolutionary Emergent Transition At the ourset, a further stage might lately be seen in occurrence as it ascends to and closes over life’s planetary personsphere. Into these years, it has taken a while to recognize this as it may only now become evident.

Into 2023, new Major ETI section (V. A) entries, along with a special, extensive Human Socio-Cultural Evolution in Light of Evolutionary Transitions issue in Royal Society Philosophical Transactions B (February, see next), add a profound substantial credence for life's nested emergence from first occasions as vitality proceeds to rise by recurrent stages to just now close over our ovo/bio/neuro prodigious pediasphere.

Carmel, Yohay, et al. Human Socio-Cultural Evolution in Light of Evolutionary Transitions: Introduction to the Theme Issue. Royal Society Philosophical Transactions B. February 2023.

An EarthKinder Individuality As its Chap.V. Sect. A documents, each nested level from genes to peoples seems to take on a personal identity, often with a new genetic-like mode, as a new whole cellular grouping begins. We cite Planetary Progeny, KinderKind and so on in accord.

Global Earthificial Sapiensphere As a consequence, an equivalent brainy facility, as it self-organizes neural multiplexes can be seen as learning, gaining knowledge, and coming upon a real discovery by her/his own endeavor. But into later 2022 we add, an intense degree of hyper-active intelligent capacity has suddenly come into use by names such as generational AI, Large Language Models, chatGPT, see title module for references.

WholeWorld BiCameral Complementary Cognizance Such an implied, projected cerebral faculty (see Dan Graham, et al Chap. II, Sect C), ought to similarly take on archetypal discrete node and link relational phases. In this way a new, infant-like visionary encounter might accrue and occur on an KinderKind scale. We often cite a WumanWise essence so as to identify both halves of the mind, sky and uniVerse.

Sophia Sapiens: a Woman’s Ecosmos For these reasons, an ecological reproductive spacescape with an encoded fertility (From Eternity to Maternity) could well be viewed. As Gender Complements cites, a feminine competence uses each side join a fine acuity with a holistic, integral scene so as to achieve a meaningful witness. By another view, the olden philosophy term, aka PhiloSophia, could rightly be reversed as SophiaPhilo, so to note the primacy of a feminine field context, before particle objects.

Going on, it is imperative that an entrenched patriarchy be fully indicted as toxic egotist madmen brutalize, enslave, silence, any feminine quality. (Just read the daily Human Rights news.) Here is a fatal aberration of rapacious, barbaric violence that seems bent on a final Armageddon. Into 2023, Iranian, Afghan, all over suppression of women has harshly intensified, especially to block any education opportunities.


Phenomenal Knowledge To stay on message, a grand benefit would be a whole mindful ability to observe an independent existence with its own certain identity and
temporal course, (which left side men are unable to do), so tp allow this genesis vision. That is to say (as I have been told) we need to have a wherewithal to see something dynamic and formative going on by itself. Every facet of our occasion then gains a double dimension, whereof people become exemplary participants.

A Discovery Code Event For the time being, a note is made that a once and future concept that this universal presence, however vast, comes with a built-in way it is made and meant to be known by we Earthlings. Wuman and universe. microcosm and Macrocosm are one and the same as some manner of a familial ecosmos.

eLibrary of eCosmos Over the 21st century, as these qualities, features, occurrences reinforce over the 21st century, as the many topical website references attest, a worldwise edition of an open “accumulated knowledge repository” has come to envelope so as to provide an integral knowledge to guide us through. That is to say our Participatory role much involves an Iteracy Literacy achievement by way of its genetic-like hereditary code

A Procreative Family Ecosmos UniVerse

A Revolutionary Procreative Organic Ecosmos Universe We can now move on to an epochal encounter of an animate, innately fertile, “pregnant” (C. de Duve) emergent development as it altogether forms in our knowsphere midst. An olden left side, men only mode has wound up with a pointless morbidity, case closed, not even Ptolemaic. In regard, one can now gather and integrate many features and qualities that can just now be found across the literature.

But a comparison of these old and new moribund machine to an innate organic fertility views, it is important to note that our ascendant EarthVersion is distinguished by a second deep dimension of an immaterial, mathematic, genomic-like source. Particles are “pointless, “peoples” are surely not. This independent realm then carries an informative prescription so as to generate, self-organize, and impel phenotype-like phenomenal beings and becomings from uniVerse to our peopleVerse.

A Moon to MultiVerse Spacescape At this point, this 400 year historic expanse is known, in our home uniVerse, to be populated with a trillion or so galaxies, each with billions of vicarious stars. Since c. 2000, an epochal discovery of myriad stellar orrerys with some sextillion profligate global objects has occurred. A philosophia point could add that it is beginning to seem that an entire uniVerse may have a certain, knowable identity and temporal course of its own

Solar/Ovular Planetary Incubators Similarly, as the ExoEarths section reports, there are current inklings that these starry systems may have an overall conducive, life-bearing, evolutionary essence. As if sunny incubators, habitable (benign) mid-zones then favor longer-duration bioworlds (see Earth Alive) can give life a chance to evolve, develop, personify and maybe rise to become worldwise progeny.

A UniVersal Naturome Ecode

Ecosmomics: An Independent, Informative Genomic Source With an organic, fertile spacescape in place, an essential biological astro-milieu ought then be considerably graced with its own innate, genetic quality. This Chapter IV describes and documents many ways since the 1990s that such a mathematic, generative source cause has been found, quantified, explained and distilled to a common code. Thus a bigender familial form and its exemplary, omic/iconic result lately distinguishes everything and everyone with a heretofore unkonwn actual, factual image and significance.

Since the 1990s, complex adaptive systems, multiplex neural networks, cellular automata, fractal invariances, interactive agents, computational intelligences qualities have been found to infuse and inform every scale and instance from universe to us. A prime 21st century finding is that as these archetype modes (node/link, me/We) engage in communicative behaviors, they proceed to self-organize into emergent, viable patterns and processes into ensembles. In accord, a major achievement of our global genius in the 2020s is that a whole spatial and temporal recurrence in kind has been robustly proven.

In more regard, the full Natureome section next provides extensive references as this common result becomes evident over every depth and breath. A timeline from 2000 to 2015 to 2022 now defines a scientific sequence as many initial versions were clarified and melded into one iconic, biconic and triune animate unity (aka as yin/yand and Tao). These earlier years, focussed on a spatial-component complex adaptive systems phase (John Holland, Murrary Gell Mann) through to c. 2015. The node/link network theories and topologies over this period added more structural features.

However in the later 2010s, a second dynamic, reciprocal process became evident which this biological phenomena appears to seek and settle into. First cited in the 1970s by Stuart Kauffman, and the 1980s by Per Bak, one could note Dante Chialvo and Miguel Munoz (search names) today. This steady propensity has been dubbed a Self-Organized Criticality whence a temporal fluidity maintains a middle balance between more or less orderly, polar states. Altogether it seems that life knows best and prefers an active contrast between such archetypal modes for any organic or social instance.

Nature’s “sweet spot” poise. These 21st century anatomy and physiology, fractal and vitality, have been dubbed by this title (Chialvo) for this node/link, me/We, past/future golden mean. Another “Chimera” version (Anna Zakharova) is seen to reside in both phases at once. As a latest example, we cite Phase Transitions and Criticality in the Collective Behavior of Animals by Pawel Romanczuk and Bryan Daniels at (arXiv:2211.03879.) wherein Humboldt University and Arizona State University theorists conceive a convergent synthesis of these form and function proclivities. The paper will be a chapter for the 2023 Volume VII of the World Scientific series Order, Disorder, and Criticality, edited by Yuri Holovatch in Lviv, Ukraine.

Thus our historic, intended quest proceeds to gain a textual literacy (iteracy) that a natural narrative maybe written in so to discern an infinite affinity of an iconic, biconic, and triconic (yang, yin, Taome) scriptome For a specific example 2022 articles such as Self-Organized Critical Dynamics (B. Tadic, Dynamics 2/2/2022) and Universality of Functional Diversity Across Human Organizations (Vicky Yang, arXiv:2208.06487) among many more, attest to a consistent, genome-like exemplar from uniVerse to us peoples. And on this December 6, I come upon an especially apt synthetis Critical Phenomenon in Embryonic Organization by Camilla Autorino Camilla and Nicoletta Petridou in Current Opinion in Systems Biology (Vol. 31, Sept. 2022).

An Evolutionary Developmental Embryonic Gestation

With all this in place, we reach life’s Ecosmic and Earthly progression from spontaneous network origins all the way to a major planetary personsphere fultillment. From 2022, a once and future appreciation can arise in an animate, fecund, encoded procreativity. (Indeed in Darwin’s day, a popular theme was “universal gestation.”) But a 20th century study of skeletal bodies and a random modern synthesis led to its denial and demise. Nut we can now list an array of advances into a worldwise century which can reveal an oriented “genesis synthesis.”

As Chap. V enters in such detail, an informative source of a self-organizing, genetic-like code vivifies a reproductive course. By the 2020s, a nested major transitions scale of a cellular wholes extends all the way to our global resolve forms. Into this year, a new Chapter VI can describe a neural, cognitive encephalization which proceeds, thickens, learns, quickens, along with metabolism and morphology.

As this evolutionary ascent goes forth, a relative degree of individual proactive agency and behavior in cohesive groupings, aka creative union, fluoresces and flourishes. In addition, as Chap. V, D records, in 2019 the British Linnean Society and colleagues (Peter Corning, Stuart Newman) realized that it was no longer possible to ignore, or deny that a teleological, orthogenetic orientation was actually going on. (See Chapter V for many more reasons.)

An EarthWinian Celestial Optimization We make note of this broadly present selective process which has been found to extend across a natural genesis procreation. Please refer to Universal Evolution. Cosmopoiesis: An Autocatalytic, Self-Made Universe, Biteracy: Algorithmic Computation and other section for many citations. This novel feature will have major implications with regard to the Super Earth Nova and Earthernity concepts. But the question then arises as to what quality is nature’s genesis trying to select for? In some fundament way, it involves our reception and continuance of the ecosmome code program.


A PediaKind EarthDay A 1990 – 2020 – 2030 – 2060 GeoNativity Event

As our Planatural Genesis introduction above notes, the website considers, life’s long evolution can take on an actual identity as an embryonic developmental gestation. As on occasion in these essays, and by reference entries lately quantify, we cite some affinities between a person (mother) and a gravid bioglobe. As one may just follow this theme, three prime features might serve. As references by Karin Schwab, Hugo Largercrantz, Jean-Pierre Changeux and others cite, it has been found that at some point in the birth/hatch process each fetus awakens from a long dream sleep to their own self-consciousness. In an oviparous case, each hatchling has had to break their shell by their own initiative. Another aspect for any organism would be the reception, in some form, of their own personal genetic complementary code.


ECOSMOMICS: 21ST CENTURY STUDIES OF INDEPENDENT GENERATIVE, SELF-ORGANIZED, COMPLEX ADAPTIVE, NETWORK, CRITICAL SYSTEMS

Circa 1990s to 2015 Structural Features

As a way to express this occasion, we here trace the scientific origins, development, and a 2020s integral synthesis of self-active complexity phenomena by way of a 1990 to 2022 sequential orientation. In retrospect, this thirty year span can be sorted into 1990, 2000, 2005, 2010, 2015, 2018, 2020/2021 and 2022 phases so as to convey its divergent, convergent and now integrative fulfillment. By this late vista, a spiral transition from individuals to our present global collaborative success can be viewed.

As an apocalyptic madness and despair sets in, an intent of these new introductions is to attribute a concurrent knowledge edification to our emergent Earthuman personshpere sapience, aka a thinking and learning planet. As this website resource documents, a conceptual 21st century procreative ecosmic revolution seems underway. If of a mind to allow and view. An extant reality may then be revived from morbidity to organic life and peoples which is distinguished with an independent, informative, mathematical genetic code everywhere. Some 400 years after Galileo, a natural narrative might finally be known as written in a familial scriptomics.

1990 A subsequent major emergent evolutionary transition in individuality could be seen to begin with the end of the cold war standoff. I visited the Santa Fe Institute in 1987 where the complexity revolution was much initiated. Coincidentally an unprecedented era began whence worldwide communication, travel, and trade became increasingly possible. At the same while this epochal revision of complex, self-organizing, systems science takes of in depth and diversity. The parallel appearance of graphic computational abilities provided a vital component.

2000 Into this new century, and millennium (quite timely), personal laptop computers, faster mainframes, and Internet websites began to form an interlinked capacity. But Apple and Microsoft programs are rudimentary, Google, Amazon, et al are fledgling start-ups. The study of “nonlinear” dynamic phenomena in many guises such as complex adaptive systems, synergetics, automata, fractals, et al (see Chap. IV for an extensive survey) came to inform theoretical and experimental endeavors.

2005 Early stages of scientific publisher and academic library websites were just coming online. I still had to go to MIT to fetch paper books such as The Knowledge Grid (Hai Zhuge) and to Yale for Self-Organization and Evolution of Social and Biological Systems (Hemelrijk), This later collection was the first time that wherein entries from molecular and microbial domains to animal groups to languages began to report something similar going on at each instantiation.

2010 After a decade of interlinked hardware and software advances, along with more user access, scientific journals shifted to a paperless online presence. (My own view is that both human-scale paper and faster cyberspace modes should have been kept, especially so students. A worldwise sapiensphere began to form and intensify into billions of site content-filled sites such as encyclopedias. As this global facility stirred into a relative mind of her/his own (Daniel Graham 2021, et alia), by an evident consideration, it might be seen as commencing to learn on its (her/his) prodigious own. At this date, the presence of nature’s multiplex networks from neural to metabolic and celestial realms gained recognition.

2015 A phenomenal Ecopernican revolution enters a convergent phase of integrative synthesis. As quantum and classical systems united, astronomic raiments gained an active fertility, and life’s physiological, cellular and cognitive scales organized themselves, an independent code-script became well implied. A common informative, bigender-like source which served to form emergent vitalities could be readily distilled. Life’s symbiotic unions, and biosemiotic encodings also were also as a prime movers. In tandem, a historic advance in artificial intelligence (AI) occurred whereof brain-like neural nets were found to be a much better method.


A New Dynamic Activity Phase 2015 to 2020 to 2023

2018 A further quality could now be appreciated whence these natural patterns and processes were realized to seek and reside at a self-organized critical balance of entity and community modes. See Colloquium: Criticality and Dynamical Scaling in Living Systems by Miguel Munoz for a premier paper. At an accelerating pace, a strong recognition that an ecosmic universal genesis performs best at a dynamic bigender poise of neuron + synapse, me member + we group, DNA biomolecule + AND regulatory net, and ever on, became widely articulated.

2020/2021 As this EarthMinder intelligence may reach an epic moment of observant self-cognizance, our planetary progeny is now well informed and prepped to actually discover a natural genesis uniVerse to human/Wuman EarthVerse procreation. In accord, such a fertile organic spontaneity seems to be rooted in and spring from one, genetic-like (familial) program. A once and future UniVersality For a working word, a “Naturome” source code is dubbed as a once and future “Universality” by virtue of its whole scale recurrence. Search “Alexandria” for a December 2019 conference by this name, sponsored by the NSF director France Cordoba.

2022 At the same while that tragic horrors consume and imperil we peoples and whole Earth, by robust verifications in evidence everywhere, such a dispensation may at last be possible. As the prime references cited herein indicate, a new convergent phase distinguished by a uniVerse to humanVerse invariant scale and exemplary instance is newly evident. Here are three new, apropos citations.

Into 2022, three more significant quantifications about an optimum social preference of a member/group, conserve/create, compete/cooperate, past/future complementsarity which poise in a dynamic harmony. From Lebanon to Sri Lanka and everywhere else no guidance of how and why to live altogether exists, nor can any such basis even be imagined. Yet as these works attest, its Confucius or confusion. At this late hour, a natural, golden mean balance has at last been well proven.

As the Earth Learn 2022 introduction above, and the whole website recites, its singular edification is the presence of one, common iconic genotype-like pattern and process, form and function in kind. An archetypal array of particle/wave, DNA/AND, neuron/net, left/right brain, member/group define a bigender complementarity. Our title mentions Familial because altogether these identities make up a triality of light, genome, neorome, and so on. As Chapter IV documents, their dynamic activity is then found to prefer and reside a balanced poise between more or less order.

At this point in 2022 of real March Madness, when all degrees of senseless carnage are going on, it would serve to consider what such a concurrent UniVersality affirmation could well imply and inform. A common bigender, familial code is just coming to light which is found to be in self-similar, invariant effect across every spatial and temporal, stars to starlings, realm. By this integral verification, a true affinity between micro-ecosmic wuman beings and the entire macro-ecosmic procreative spacescape is becoming evident. As tradition has long averred, the whole, infinite uniVerse and our infinitesimal epitome are indeed one and the same.

2023 As this online subject content and more proceeds into another year, each chapter and section comes with a new notable reference list to replace the 2020 version. Going forward, a whole outline 2023 - 2030 module for especial contributions is now posted after An Earthumanity Era. As a strong sign that this vital poise view grows apace, a book version The Cortex and the Critical Point: Understanding the Power of Emergence. by John Beggs (see review below) has now been published, see review below.


As another way to evince how this significant perception has spread across the universe and Earthversion, here next is a citation litany from Integral Occasion all the way to Phenomenal Peoples. And all these entries are continually updated as they grow in breadth and depth.

INTEGRAL OCCASIONS
Artime, Oriol and Manlio De Domenico. From the Origin of Life to Pandemics: Emergent Phenomena in Complex Systems. Philosophical Transactions of the Royal Society A. May 2022.
Tadic, Bosiljka and Roderick Melnik. Self-Organized Critical Dynamics as a Key to Fundamental Features of Complexity in Physical, Biological and Social Networks. Dynamics. 2/2, 2022.
Chen, Luyao, et al. AI of Brain and Cognitive Sciences: From the Perspective of First Principles. arXiv:2301.08382.
Sanchez-Puig, Fernanda, et al. Heterogeneity Extends Criticality. arXiv.2208.06439. August 2022.
Villani, Marco, et al. Evolving Always-Critical Networks. Life. 10/3, 2020.

CELESTIAL REALMS
Kartvelishvili, Guram, et al. Self-Organized Critical Multiverse. arXiv:2003.12594.
Aschwanden, Markus. The Fractality of Astrophysical Self-Organized Criticality. arXiv:2203.12484.
Pereverzev, Sergey. Dark Matter Searches and Energy Accumulation and Release in Materials. arXiv:2212.13964.
Wei, Jun-Jie. Scale Invariance in X-ray Flares of Gamma-ray Bursts. arXiv:2212.08818.

QUANTUM, MATERIAL
Ohler, Simon, et al. Towards Learning Self-Organized Criticality of Rydberg Atoms using Graph Neural Networks. arXiv:2207.08927.
Mondal, Suman, et al. Self-Organized Criticality of Magnetic Avalanches in Disordered Ferrimagentic Material. arXiv:2210.05183.
Sherman, Nicholas, et al. Universality of Critical Dynamics with Finite Entanglement. arXiv:2301.09681.
Tsakmakidis, Kosmas, et al. Quantum Coherence-Driven Self-Organized Criticality. Science Advances. March 2018

EARTH SYSTEM
Smyth, William, et al. Self-Organized Criticality in Geophysical Turbulence. Nature Scientific Reports. 9/3747, 2019.
Jensen, Henrik. Brain, Rain and Forest Fires: What is Critical about Criticality: In Praise of the Correlation Function. Journal of Physics: Complexity. 2/032002, 2021.
Cheraghalizadeh, J., et al. Simulating Cumulus Clouds Based on Self-Organized Criticality. arXiv:2211.06111.

CELLULARITY
Zimatore, Giovanna, et al. Self-organization of Whole-gene Expression through Coordinated Chromatin Structural Transition. Biophysics Reviews. 2/031303, 2021.
Ge, Xiaofei, et al. Self-Organized Critical Dynamics of RNA Virus Evolution. arXiv:2204.08627.
Vidiella, Blai, et al. Engineering Self-Organized Criticality in Living Cells. Nature Communications. 12/4415, 2021.
Proverbio, Daniele, et al. Buffering in Cell Regulation Motifs Close to Criticality. arXiv:2212.08600.

ORGANISM AND COMMUNITY
Autorino, Camilla and Nicoletta Petridou. Critical Phenomenon in Embryonic Organization, Current Opinion in Systems Biology. Vol. 31, Sept. 2022.
Shpurov, Ivan and Tom Froese. Evidence of Critical Dynamics in Movements of Bees inside a Hive. Entropy. 24/12, 2022.
Schaposnik, Laura, et al. Animal Synchrony and Agent’s Segregation. arXiv:2212.07505.
Zamponi, Nahuel, et al. Scale Free Density and Fluctuations in the Dynamics of Large Microbial Ecosystems. arXiv:2206.12384.

CEREBRAL DYNAMICS
Tian, Yang, et al. Theoretical Foundations of Studying Criticality in the Brain. Network Neuroscience. 6/4, 2022.
Shettigan, Nandan, et al. On the Biophysical Complexity of Brain Dynamics. Dynamics. 2/2, 2022.
Plenz, Dietmar, et al. Self-Organized Criticality in the Brain. Frontiers in Physics. July 2021.
Magnasco, Marcelo. Robustness and Flexibility of Neural Function through Dynamical Criticality. Entropy. 24/5, 2022

HUMAN PHENOMENON
Tang, Xun and Huifang Ye. Metaphorical Language Change Change is Self-Organized Criticality. arXiv:2211.10709.
West, Bruce, et al. Relating Size and Functionality in Human Social Networks through Complexity. PNAS. 117/31, 2022.
Notarmuzi, Daniele, et al. Universality, Criticality and Complexity of Information Propagation in Social Media. arXiv:2109.00116.


ECODE 2023: EARTHKINDER READS A UNIVERSAL, INDEPENDENT ECOSMOME TO GEONOME EXEMPLARY ENDOWMENT

After our current Ecosmos to Earthmost status report, a 30 year complexity science progressive revolution can be seen to attain a convergent veracity via an infinite affinity. It is then incumbent to note that our collaborative sapience has in fact begun to glimpse and achieve a historic discovery of an actual greater genesis with its own phenomenal identity, ecode genetic-like essence, and a procreative purpose. As a way to express, we next gather an initial array of salient references with Independent Universality, Exemplary Epitomes and Earthropocene Geonome/Phenome sections.

An Ecosmome Independent Universality In an Creative Organic UniVerse, a major Earthumanity sapience has been able to perceive and decipher an independent, genetic-like, informative, source-script with a bigender, familial heredity in effect.

Artime, Oriol and Manlio De Domenico. From the Origin of Life to Pandemics: Emergent Phenomena in Complex Systems. Philosophical Transactions of the Royal Society A. May 2022.
When a large number of entities interact with each other and their environment, higher spatio-temporal outcomes often spontaneously arise. This emergent phenomenon holds for a broad range of complex systems from physical to biological and social related to collective behavior.

Allard, Antoine, et al. Geometric Description of Clustering in Directed Networks. arXiv:2302.09055.
Zhou, Zheng, et al. Fractal Quantum Phase Transitions: Critical Phenomena Beyond Renormalization. arXiv:2105.05851.

Goldbeter, Albert. Dissipative Structures in Biological Systems: Bistability, Oscillations, Spatial Patterns and Waves. Philosophical Transactions A. Vol. 276/20170376, 2018.
This review will discuss the conceptual relevance of dissipative structures as the dynamical bases for non-equilibrium self-organization in biological systems,

Bianconi, Ginestra. Multilayer Networks: Structure and Function. Oxford: Oxford University Press, 2018.
Zakharaova, Anna. Chimera Patterns in Networks. International: Springer, 2020.

Lopez, Roberto, et al. The Excitatory-Inhibitory Branching Process: Cortical Asynchronous States, Excitability, and Criticality. arXiv:2203.16374.
Voit, Maximilian and Hildegard Meyer-Ortmanns. Emerging Criticality at Bifurcation Points in Heteroclinic dynamics. Physical Review Research. 2/4, 2020.

Tadic, Bosiljka and Roderick Melnik. Self-Organized Critical Dynamics as a Key to Fundamental Features of Complexity in Physical, Biological and Social Networks. Dynamics. 2/2, 2022.
Studies of complex systems reveal collective behaviours that emerge due to self-organised critical fluctuations. By physical, biological, and social network exemplars, we show how a self-organised criticality occurs by way of reciprocal topologies and a driving force.

Wolfram, Stephen. The Physicalization of Metamathematics and Its Implications for the Foundations of Mathematics. arXiv:2204.05123.
But our Physics Project suggests that underneath everything there is a general abstract structuration and that our physical laws arise in an inexorable way from this informative basis.


Exemplary Epitomes Everywhere As the entire Planatural Genesis website has come to document, our EarthSmart transition has proceeded to report an invariant presence in kind from astrome, quantome and atome phases through life’s personal/planetary development to our humanEarth epitome.

Perc, Matjaz. Beauty in Artistic Expressions through the Eyes of Networks and Physics. Journal of the Royal Society Interface. March 11, 2020.

Berezhiani, Lasha, et al. The Complex Galactic Dynamics of Dark Matter Superfluidity. arXiv:2212.10577.
We consider self-interacting bosonic dark matter with superfluidity to show that optimum theory parameter space corresponds to thermalized dark matter halos.

Antonello, Priscila, et al. Self-organization of In Vitro Neuronal Assemblies Drives to Complexity Network Topology. eLife. 11/e74521, 2022.
Kulkarni, Suman, et al. Information Content of Note Transitions in the Music of J. S. Bach. arXiv:2301.00783.

Kocoglu, Cemile, et al. How Network-based Approaches can Complement Identification Studies in Frontotemporal Dementia. Trends in Genetics. 38/9, 2022. This review considers genetic approaches in FTD and network biology concepts to better identify complex neurological disease.

Ciss, Mamadou, et al. Description of the Cattle and Small Ruminants Trade Network in Senegal. arXiv:2301.11784.
We present a procedure based on temporal network theory to identify possible sentinel locations using two indicators: vulnerability and time of infection.
Pan, Yi-Ru, et al. Universality and Scaling in Complex Networks from Periods of Chinese History. Chaos. January 2023.

Sarkanych, Petro, et al. Network Analysis of the Kyiv Bylyny Cycle – East Slavic Epic Narratives. arXiv:2203.10399.
Witthaut, Dirk, et al. Collective Nonlinear Dynamics and Self-Organization in Decentalized Power Grids. Reviews of Modern Physics. February 2022.

Tadic, Bosilijka. Cyclical Trends of Network Load Fluctuations in Traffic Jams. Dynamics. 2/4, 2022.
The transport of information packets in complex networks is a prototype system for the study of traffic jamming, a nonlinear dynamic phenomenon that arises with increased traffic load and limited road capacity.

Fugenschuh, Marzena and Feng Fu. Overcoming Vaccine Hesitancy by Multiplex Social Network Targeting. arXiv:2302.07813.
Social factors of disease prevention are a main basis behavioral epidemiology. Our findings provide insight into network-based methods during a viral pandemic.

Gysi, Deisy and Katja Nowick. Construction, Comparison and Evolution of Networks in Life Sciences and Other Disciplines. Journal of the Royal Society Interface. May, 2020.
Network approaches apply in many fields for they display complex relationships between entities as well as group-level properties. Our focus is the life sciences across molecular, ecological, neuropsychological and evolutionary aspects.

Yang, Vicky Chuqiao, et al. Scaling and the Universality of Function Diversity across Human Organizations. arXiv:2208.06487.


Earthropocene Geonome/Phenome Vitality Here are initial reports of a double naturome ecode scenario that includes both an intrinsic, invormative guides and its (wo)manifest result from stars to starlings and our own cultural benefit going forward.

Grossberg, Stephen. Conscious Mind, Resonant Brain: How Each Brain Makes a Mind. New York: Oxford University Press,, 2022.

Araujo, Nuno, et al.. Steering Self-Organization through Confinement. arXiv:2204.10059.
These concepts arose in the late 20th century and define collective structures and patterns that arise from many interactive units, such as molecules, colloidal particles, cells, animals, pedestrians and so on.

Gagler, Dylan, et al. Scaling Laws in Enzyme Function Reveal a Biochemical Universality. PNAS. 119/9, 2022.
Ouellette, Nicholas. A Physics Perspective on Collective Animal Behavior. Physical Biology. 19/2, 2022.

Corbetta, Alessandro and Federico Toschi. Physics of Human Crowds. Annual Review of Condensed Physics. 14/311, 2023.
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.

Khanra, P., et al. Endowing Networks with Desired Symmetries and Modular Behavior. arXiv:2302.1548.

West, Geoffrey. Scale: The Universal Laws of Growth, Innovation, Sustainability, and the Pace of Life, in Organisms, Cities, Economies, and Companies. New York: Penguin, 2017.

Turker, Meliksah and Haluk Bingol. Multi-Layer Network Approach in Modeling Epidemics in an Urban Town. European Physical Journal B. February 2023.
In order to mitigate the negative impact of the epidemics, researchers viewed the pandemic using forecasting techniques and epidemics simulations on networks.


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Almeira, Joaquin, et al. Tricritical Behavior in a Neural Model with Exitatory and Inhibitory Units. arXiv:2207.02320. Researchers in Argentina and Italy including Dante Chialvo add further evidence for nature’s wide preference to seek and reside at such a sweet poise state between more or less relative coherence.

While the support for the relevance of critical dynamics to brain function is increasing, there is less agreement on the exact nature of the advocated critical point. Thus, a considerable number of theoretical efforts address which mechanisms and what transitions can be exhibited by neuronal networks models. The present work describes the effect of incorporating a fraction of inhibitory neurons on the collective dynamics. As we show, this results in a tricritical point for highly connected networks.

Antonello, Priscella, et al. Self-organization of In Vitro Neuronal Assemblies Drives to Complexity Network Topology. eLife. 11/e74521, 2022. Federal University of Sao Paulo, and Indiana University neuroscientists including Olaf Sporns and John Beggs post a sophisticated technical and theoretic study about innate cerebral tendencies to preferentially give rise to an optimum intricacy of parts and wholes. Our cognitive abilities thus organize themselves from the earliest get go for learning, communication and sage integrity to our retrospect global facility.

Activity-dependent self-organization plays a vital role as it underlies connectivity patterns in neural circuits. By combining neuronal cultures, network neuroscience methods and information theory, we can study how complex network topologies emerge from local interactions. We found that the number of network links grew over the course of development, shifting from a segregated to a more integrated architecture. In agreement with previous in silico and in vitro studies, a small-world modular format was detected by way of strong clustering among neurons. These findings leverage new insights into how neuronal effective networks relate to how neuronal forms and functions organize themselves. (Abstract excerpt)

Our findings suggest that plasticity and homeostatic mechanisms drive the emergence of segregated and integrated architectures in developing effective networks by reinforcing synchronized spontaneous activity. These processes induce a predictive relationship between the spike trains of pre- and post-synaptic neurons that produces reliable effective network patterns, such as the clustering of low firing rate neurons, the formation of modules, and the connection of high firing rate neurons across modules, integrating them. Such mechanisms, despite being independent of the exact physical location of each neuron, showed to have a preference to link neurons that are closer to each other. Finally, this organization involves a level of randomness, but it is greatly dependent on the heterogeneity of the firing rate of neurons. (Conclusion)

Anwar, Sayeed, et al. Self-organized bistability on globally coupled higher-order networks.. arXiv:2401.02825. In these 2020s complex system studies proceed to delve deeper and uncover vital new features. Here Indian Statistical Institute, Kolkata, KU Leuven, Belgium and Immanuel Kant Baltic Federal University, Kaliningrad neuroscientists including Nikita Frolov add a significant notice of nature’s tendency to seek and reside at an optimum state between two opposite but reciprocal modes of being. This middle way poise achieves a bilateral resonance rather than a total fixation on one or the other poles.

Self-organized bistability (SOB) stands as a critical behavior for the systems adjusting themselves to this dynamic balance. Recently, SOB has been found in a scale-free network as a recurrent transition to a global synchronization. Here, we extend the theoretical boundaries to a higher-order network. We use statistical data from spontaneous synchronized events to demonstrate the crucial role SOB plays in initiating and terminating temporary synchronized events. (Excerpt)

Multistability is a prevalent phenomenon observed in both man-made and real-world systems, characterized by consistent stable states. This poise plays a crucial role in regulating processes in living systems operating on different scales, from organ system interactions to neural synchronization. Typically, in normal conditions, neural activity in the brain demonstrates distinct power-law (scale-free) distributed avalanches, which is indicative of underlying self-organized criticality. (1)

To summarize, here we have reported a theoretical investigation of SOB by a globally coupled Kuramoto network with higher-order interaction. Our study reveals that the interplay between consumption and recovery rates results in a region of critical bistable dynamics. Within this regime, the critical dynamics allow for a self-sustaining toggling from the state of incoherence to coherence. (8)

Aschwanden, Markus and Manuel Guedel.. Self-Organized Criticality in Stellar Flares. arXiv:2106.06490. Solar and Stellar Astrophysics Laboratory, Palo Alto and University of Vienna (search MA) researchers report an even more robust propensity for all manner of natural phenomena such as active sunny stars to hold to scale-invariant self-similarities. Of especial note is a persistent arrival at this middle way balance. See also The Universality of Power Law Slopes in the Solar Photosphere by MA and Nived Nhalil at 2211.08323 for later work.

What does it mean when we say that stellar flares exhibit self-organized criticality? If stellar flares would occur by pure random processes, their size distribution would fit a Poissonian or Gaussian function. In contrast, the fact that stellar flares are consistent with power law functions strongly supports the evolution of nonlinear (exponential-growing) energy dissipation processes, triggered by local fluctuations that exceed a system-wide threshold. The statistics of physical parameters in such nonlinear energy dissipation processes can be expressed with volumetric scaling laws, characterized by the scale-free probability, the (spatial) fractal dimension, classical diffusion, and the flux-volume scaling. (11)

Autorino, Camilla and Nicoletta Petridou. Critical Phenomenon in Embryonic Organization. Current Opinion in Systems Biology. Vol. 31, September, 2022. European Molecular Biology Laboratory, Heidelberg University biochemists describe an historic conceptual advance in this regard by a novel ability to perceive and quantify self-organized criticalities in effect during prenatal development. As the quotes say, even life’s earliest formative phases can be traced to a deep physical source. See also Programmed and Self-Organized Flow of Information during Morphogenesis by Claudio Collinet and Thomas Lecuit in Nature Reviews Molecular Cell Biology (22/245, 2021).

For a concurrent paper (these insights seem just now possible) see Animal Synchrony and Agent’s Segregation by Laura Schaposnik, et al (arXiv:2212.07505). We also note a 1995 paper Evolution as a Self-Organized Critical Phenomena by Per Bak, et al (PNAS, 92/5219) in response to initial their notices of SOC theories. Some three decades later might it be again considerable, by way of our global collaborations, to understand how we all arose from a conducive ecosmos.

The physics of critical points lies behind the organization of various complex systems, from molecules to ecosystems. Several functional benefits emerge when operating at a “criticality” state. Here, we propose that introducing this dynamic concept in developmental biology may explain remarkable features of embryonic development, such as collective behavior and fitness. Recent interdisciplinary work has studied embryogenesis within statistical physics frameworks and found that biochemical and biomechanical processes do indeed resemble critical phenomena. In regard we discuss gene expression, cell differentiation, and tissue mechanics whereby a critical balance can foster an optimum organization. (Abstract)

Many natural phenomena are considered to operate via similar mechanisms. Evolutionary systems, bird flocks, epidemic spreading, immune systems, intelligent behavior, neuronal activity, and gene expression are only a subset of biological phenomena that although display differences in their physical characteristics, such as size, shape, and material composition, also express remarkable similarities in their mode of organization and function. A major commonality is that they can be described using general frameworks of statistical physics by way of critical points in phase transitions (PTs). Criticality is traced from unique mathematical traits using PTs theories which can be studied via dynamical systems frameworks or statistical mechanics. Given that these traits are universal and largely independent, it is considered that such a deep theoretical basis can somehow wholly serve to explain the behavior of various critical occasions across nature. (1)

This search for a unifying theory of natural complexity an active research direction in physics. Why are biologists becoming more and more interested in it? Living systems appear to “know” how to reproducibly develop, as well as evolve and adapt to environments. One hypothesis is that their fitness is gained at criticality, since operating close to a critical point can balancing between functional regimes, so the system may efficiently shift between them. (2) The natural physics to seek and reside at a critical juncture can even be seen, by our work, to underlie embryo development, ranging from gene expression and cell differentiation, to tissue mechanics and morphogenesis. (5)

In conclusion, the developing embryo exhibits complex physical traits, which biologists attribute to the numerous mechanochemical interactions. Biology, however, shows that development needs to be approached as a whole, as a critical system. By utilizing statistical physics, scientists will be able to bridge theory and experiments to address the functional role of criticality in embryo development. (6)

Barjuan, Laia, et al, Laia. et al. Optimal navigability of weighted human brain connectomes in physical space. arXiv:2311.10669. University of Barcelona system physicists contribute a further finesse of cerebral interactions which are specifically seen to improve the clear conveyance of information. Their work proceeds on to the notice of a persistent tendency to reach a middle balance point for this optimum performance. So once again it seems this common propensity to attain a best situation this way indeed appears as nature’s universal poise from quanta to astral to neural realms.

The architecture of the human connectome supports communication protocols relying on distances between brain regions or on the intensities of connections. However, these modes do not combine information about the two or reaches full efficiency. Here, we introduce a spectrum of routing strategies that joins link weights and embedded connectomes to transmit signals. We found that there is an intermediate region, a sweet spot, in which navigation achieves maximum communication. This phenomenon is robust and independent of the configuration of weights. Our results indicate that the intensity and topology of neural connections and brain geometry interplay to boost communicability to best support responses to stimuli. (Abstract)


In this work, we introduce a theoretical framework for the interplay between spatial distances and link weights in neural communication processes, and apply it to human connectomes to identify the distinctive roles played by the hard and soft wirings. The former describes the spatial distances in geometric embeddings, and the latter entails the weights of links between connected brain regions. We found that there is an intermediate region in this spectrum, a sweet spot, in which connectomes become maximally navigable and achieve full communication efficiency. (1)

Barzon, Giacomo, et al. Criticality and Network Structure Drive Emergent Oscillations in a Stochastic Whole-Brain Model. Journal of Physics: Complexity. 3/3, 2022. After some years into the 21st century, and original notices in the 1980s and before, by these 2020s University of Padova systems theorists including Samir Suweis can now reach a deep theoretical and empirical quantification of a critically-poised universality across the ecosmos to cerebral capacities so to provide a dynamic middle-way optimum poise between more or less, closed and open coherence. See Heterogeneity Extends Criticality by Fernanda Sanchez-Puig, et al herein for another 2022 instance.

Overall, here we have shown in detail how network structure plays a fundamental, yet sometimes poorly understood, role. Therefore, we believe that our work will serve as a baseline for future analytical efforts in explaining the nature of the observed transition under more relaxed assumptions, e.g., in the presence of a non-trivial distribution of weights and different topologies, to further understand the influence of both in the emergence of critical features in the human brain. Possible approaches may include the use of heterogeneous mean-field methods as done in the study of epidemic spreading or annealed network approximations. All in all, we believe that our findings are a further contribution to the still puzzling ‘critical brain hypothesis’. (11)

Beggs, John. The Cortex and the Critical Point: Understanding the Power of Emergence.. Cambridge: MIT Press, 2022. The veteran Indiana University neurophysicist has been studying these cerebral propensities for some 15 years. As a lead authority, into the 2020s the evidence is strong enough that a collegial book length treatment is possible. As this section and site reports, it is now well founded in both theory and test that brains seek, prefer and reside at this locus of optimum performance. As the case broadly builds, this phenomenal principle can be seen as nature’s common choice from celestial, quantum and material realms, life’s genetic and organic development and onto human societies. The work has since become newsworthy such as When Does the Brain Operate at Peak Performance? by JB, see quote (Quanta, January 31, 2023) See also, e.g., Fosque, L., et al. Quasicriticality Explains Variability of Human Neural Dynamics across Life Span. arXiv:2209.02592 with JB as a coauthor.

But if I were to try to explain in a paragraph, I would say this - it is like when water, at just the right pressure, changes into steam. For a moment it is both a flowing liquid and individual molecules zipping around in the air. Neurons can act this way too, firing synchronously then breaking of to improvise by themselves. Just at this transition. They are both independent and interdependent with all other neurons. Right here at what we will call the critical point, information flows easily, computations are most facile, and the brain is very sensitive to inputs. Here intricate patterns of waves, oscillations, and avalanches of activity arise most readily. (1)

Most broadly, there are two main consequences for a neural network that operates near the critical point. First, it will have scale-free properties which are linked to optimal information processing. Second it will exhibit universality, as we explored in this chapter. (105)

Over the last few decades, an idea called the critical brain hypothesis has been helping neuroscientists understand how the human brain operates as an information-processing powerhouse. It posits that the brain always teeters between two phases of activity: a relative quiet, less orderly side, and a more active, attentive mode,. The hypothesis predicts that between these conditions, at a “sweet spot” known as the critical point, the brain has an ideal balance of variety and structure so as to produce the most complex and information-rich patterns. (Beggs, Quanta)

Beiro, Mariano, et al. Signs of Criticality in Social Explosions. arXiv:2305.01944. University of Buenos Aires, Singapore University of Social Sciences, Nanyang Technological University, Singapore, Complexity Science Hub Vienna (Stefan Thurner) and International Valencian University, Spain systems theorists describe a unique, extensive project which has found that even this hyper-active, multi-faceted public intensity tends toward, exhibits and is distinguished a self-organized ciriticalities which endow near-optimum communicative conditions.

The success of an on-line movement could be defined by a shift to off-line street actions of protests. One may view these macro-behaviors as spontaneous interactions, which will give rise to common simplifications on several statistics. Here, we go on to observe of signs of criticality in such dynamic public demonstrations. Namely, the same power-law exponents are found whenever the distributions are calculated, either due to the same windows-time or the number of hashtags. By means of network arrays, we show that the systems take on two correlations with high or low values of modularity. The importance of analysing systems near a critical point is that any small disturbance can escalate and induce large-scale -- nationwide -- chain reactions. (Abstract excerpt)

Butler, Travis and Georgi Georgiev. Self-Organization in Stellar Evolution: Size-Complexity Rule. arXiv:2202.02318. Assumption University, Worcester, MA physicists (search GG) post a strong notice to date of nature’s deep propensity to organize itself into dynamic, invariant states everywhere. In this astral case, how stars form is seen as an another exemplary result. An historic importance then becomes an implied mathematic source code which exists in generative effect independently of any certain scale or instance. In regard, such recurrent features in kind from celestial to cultural phases are cited as a 2022 presence and proof of a true universality. As our Earthuman epic reaches a consummate moment, this entry, A Physics Perspective on Collective Animal Behavior (N. Ouellette 2022), and many others are coming altogether so to reveal and discover a cocreative uniVerse to wumanVerse familial genesis.

Complexity Theory is highly interdisciplinary, therefore any regularities must hold on all levels of organization, independent on the nature of the system. An open question in science is how complex systems self-organize to produce emergent structures and properties by way of non-equilibrium thermodynamics. There is a quantity-quality transition which holds across natural systems, which is often known as the size-complexity rule. We apply this standard to stars to compare them with other complex systems so to find universal patterns of self-organization independent of the substrate. This rule goes under different names in different disciplines and systems of different nature, such as the area-speciation rule, economies of scale, scaling relations in biology and for cities, and many others. (Abstract excerpt)

Chen, Lei, et al. Metallic Quantum Criticality Enabled by Flat Bands in a Kagome Lattice. arXiv:2307.09431.. As the quotes convey, Rice University Center for Quantum Materials, Vienna University of Technology and SUNY Stony Brook physicists including Jennifer Cano and Silke Paschen delve deeply into these substantial realms and scientific features to reveal still another exemplary statement of nature’s optimum self-organized balance. See also Quantum Criticality Enabled by Intertwined Degrees of Freedom by this group for a broader version in PNAS. (120/30, 2023.)

Strange metals arise in a variety of platforms for strongly correlated electrons, ranging from the cuprates, heavy fermions to flat band systems. We study a Hubbard model on a kagome lattice so as to construct a Kondo lattice description. We identify a Mott transition with a quantum critical point at which quasiparticles a strange metallicity emerges. Our theoretical work opens up a new route for realizing beyond-Landau quantum criticality and novel quantum phases that it nucleates. (Excerpts)

For the first time, we have theoretically realized a metallic quantum critical point enabled by the flat bands of a kagome lattice, with properties that parallel the well established strange metallicity of heavy fermion systems. (28) Our findings also reveal new interconnections among a variety of correlated electron platforms, and point to new platforms for beyond-Landau quantum criticality. (30)

Chen, Luyao, et al. AI of Brain and Cognitive Sciences: From the Perspective of First Principles. arXiv:2301.08382. Sixteen Chinese length scholars under the auspices of the AI of Brain and Cognitive Sciences Research Group, Beijing Academy of Artificial Intelligence, and Beijing University post an array of chapters, per the first quote, in an effort to advance AI abilities by better appreciations of how our own cerebral faculties have actually formed and well function. Our main interest is Criticality: Bringing New Perspectives to the Brain and AI, which gathers and presents an extensive, latest survey as this realization lately gains a wide, quantified acceptance. The two longer quotes are from this section.

This paper collects six such first principles summarized by the research team, “AI of Brain and Cognitive Sciences”, in the Beijing Academy of Artificial Intelligence (BAAI). They are attractor network, criticality, random network, sparse coding, relational memory, and perceptual learning. On each topic, we review its biological background, fundamental property, potential application to AI, and future development.

The framework of criticality is a powerful tool to understand and analyze complex systems because many systems in physics and nature are in a critical state. In the past 20 years, researchers found that biological neural networks in the brain operate close to a critical state, which provides a new perspective on studying brain dynamics. It is known that the critical state is important for brain activities/functions because it optimizes numerous aspects of information transmission, storage, and processing. In addition, some brain diseases are believed to be related to the deviation from the critical state, which also opens a new window for diagnosing and treating these diseases. In the field of artificial intelligence, the framework of the critical state is used to analyze and guide both the structural design and weight initialization of deep neural networks, suggesting that operating close to a critical state may be considered one of the fundamental principles governing computations in neural networks. (9)

The critical state gives us a new perspective to study biological and artificial neural networks. At present, the framework of criticality has not only been used to understand neural dynamics and brain diseases but also to analyze the operation of deep neural networks and guide the design for further improvement. Through theoretical analysis and numerical simulations, we know that the critical state of the network can be controlled by some simple control parameters, such as branching ratio, spectral radius, and input-output Jacobian singular values. This makes it possible to analyze or tune the overall behavior of complex networks through statistics that are easy to observe. We believe that the framework of criticality will play an even more important role in helping us better understand the constraints applied to artificial neural networks and to design better architectures as well as dynamical rules to improve its performance in complex information processing. (14)

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