We consider processes of emergence within the conceptual framework of the Information Loss principle and the concepts of systems conserving information; systems compressing information; and systems amplifying information. We deal with the supposed incompatibility between emergence and computability tout-court. We distinguish between computational emergence, when computation acquires properties, and emergent computation, when computation emerges as a property. The focus is on emergence processes occurring within computational processes. Violations of Turing-computability such as non-explicitness and incompleteness are intended to represent partially the (...) properties of phenomenological emergence, such as logical openness, given by the observer’s cognitive role; structural dynamics where change regards rules rather than only values; and multi-modelling where multiple non-equivalent models are required to model such structural dynamics. In this way, we validate, from an epistemological viewpoint, models and simulations of phenomenological emergence where the sequence of events constitutes the natural, analogical non-Turing computation which a cognitive complex system can reproduce through learning. Reproducibility through learning is different from Turing-like computational iteration. This paper aims to open a new, non-reductionist understanding of the conceptual relationship between emergence and computability. (shrink)

This book is a state-of-the-art review on the Physics of Emergence. Foreword v Gregory J. Chaitin Preface vii Ignazio Licata Emergence and Computation at the Edge of Classical and Quantum Systems 1 Ignazio Licata Gauge Generalized Principle for Complex Systems 27 Germano Resconi Undoing Quantum Measurement: Novel Twists to the Physical Account of Time 61 Avshalom C. Elitzur and Shahar Dolev Process Physics: Quantum Theories as Models of Complexity 77 Kirsty Kitto A Cross-disciplinary Framework for the Description of Contextually Mediated (...) Change 109 Liane Gabora and Diederik Aerts Quantum-like Probabilistic Models Outside Physics 135 Andrei Khrennikov Phase Transitions in Biological Matter 165 Eliano Pessa Microcosm to Macrocosm via the Notion of a Sheaf (Observers in Terms of t-topos) 229 Goro Kato The Dissipative Quantum Model of Brain and Laboratory Observations 233 Walter J. Freeman and Giuseppe Vitiello Supersymmetric Methods in the Traveling Variable: Inside Neurons and at the Brain Scale 253 H.C. Rosu, O. Cornejo-Perez, and J.E. Perez-Terrazas Turing Systems: A General Model for Complex Patterns in Nature 267 R.A. Barrio Primordial Evolution in the Finitary Process Soup 297 Olof Gornerup and James P. Crutchfield Emergence of Universe from a Quantum Network 313 Paola A. Zizzi Occam's Razor Revisited: Simplicity vs. Complexity in Biology 327 Joseph P. Zbilut Order in the Nothing: Autopoiesis and the Organizational Characterization of the Living 339 Leonardo Bich and Luisa Damiano Anticipation in Biological and Cognitive Systems: The Need for a Physical Theory of Biological Organization 371 Graziano Terenzi How Uncertain is Uncertainty? 389 Tibor Vamos Archetypes, Causal Description and Creativity in Natural World 405 Leonardo Chiatti . (shrink)

Non c’è dubbio: la scienza è il basso ostinato del tempo, il tema principale della nostra cultura. I giornali dedicano uno spazio crescente all’ultima scoperta, i festival e le letture pubbliche veicolano le nuove visioni del mondo e la lettura scientifica dei fatti e dei comportamenti fa capolino anche nel quotidiano. Il rischio è quello di dimenticare che la scienza è una pratica cognitiva,non una piramide di verità rivelate e accumulate una volta per tutte. Educare alla scienza significa dunque spaziare (...) tra conoscenze variamente interconnesse, attraversate dalle correnti dell’incertezza, evitando cristallizzazioni ideologiche e tentazioni mediatiche di semplificazione. I saggi qui raccolti si muovono fra fisica teorica, biologia e intelligenza artificiale: l’eredità di Turing, la figura di Majorana, la scala di Planck, il bosone di Higgs, i sistemi viventi, gli agenti economici, il riduzionismo e i processi emergenti, passando per i rapporti tra scienza, letteratura e arte. Il tutto organizzato come una serie di piccole variazioni musicali sul tema delle proiezioni culturali e mediatiche della scienza e delle sue inevitabili implicazioni epistemologiche, etiche, estetiche. (shrink)

Beyond Peaceful Coexistence: The Emergence of Space, Time and Quantum brings together leading academics in mathematics and physics to address going beyond the 'peaceful coexistence' of space-time descriptions (local and continuous ones) and quantum events (discrete and non-commutative ones). Formidable challenges waiting beyond the Standard Model require a new semantic consistency within the theories in order to build new ways of understanding, working and relating to them. The original A. Shimony meaning of the peaceful coexistence (the collapse postulate and non-locality) (...) appear to be just the tip of the iceberg in relation to more serious fundamental issues across physics as a whole. Chapters in this book present perspectives on emergent, discrete, geometrodynamic and topological approaches, as well as a new interpretative spectrum of quantum theories after Copenhagen, discrete time theories, time-less approaches and 'super-fluid' pictures of space-time. As well as stimulating further research among established theoretical physicists, the book can also be used in courses on the philosophy and mathematics of theoretical physics. (shrink)

Recently the interest in Bohm realist interpretation of quantum mechanics has grown. The important advantage of this approach lies in the possibility to introduce non-locality ab initio, and not as an "unexpected host". In this book the authors give a detailed analysis of quantum potential, the non-locality term and its role in quantum cosmology and information. The different approaches to the quantum potential are analysed, starting from the original attempt to introduce a realism of particles trajectories (influenced by de Broglie's (...) pilot wave) to the recent dynamic interpretation provided by Goldstein, Durr, Tumulka and Zanghì, and the geometrodynamic picture, with suggestion about quantum gravity. Finally we focus on the algebraic reading of Hiley and Birkbeck school, that analyse the meaning of the non-local structure of the world, bringing important consequences for the space, time and information concepts. (shrink)