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There is a widespread assumption that the universe in general, and the Earth's biosphere in particular, is becoming more complex over time. This paper formulates this assumption as a macroscopic law, the law of increasing complexity, for a…

History and Philosophy of Physics · Physics 2026-03-02 Tatsuaki Okamoto

While modern physics and biology satisfactorily explain the passage from the Big Bang to the formation of Earth and the first cells to present-day life, respectively, the origins of biochemical life still remain an open question. Since…

Populations and Evolution · Quantitative Biology 2025-02-25 Praful Gagrani , David Baum

Traditionally evolution is seen as a process where from a pool of possible variations of a population (e.g. biological species or industrial goods) a few variations get selected which survive and proliferate, whereas the others vanish.…

Populations and Evolution · Quantitative Biology 2008-09-25 Rudolf Hanel , Stefan Thurner

The improbability of a spontaneously generated self-assembling molecule has suggested that life began with a set of simpler, collectively replicating elements, such as an enclosed autocatalytic set of polymers (or protocell). Since…

Adaptation and Self-Organizing Systems · Physics 2013-08-26 Liane Gabora

Evolution is the fundamental physical process that gives rise to biological phenomena. Yet it is widely treated as a subset of population genetics, and thus its scope is artificially limited. As a result, the key issues of how rapidly…

Populations and Evolution · Quantitative Biology 2017-08-23 Nigel Goldenfeld , Carl Woese

It has been proposed that, since the origin of life and the ensuing evolution of biological species, a second evolutionary process has appeared on our planet. It is the evolution of culture-e.g., ideas, beliefs, and artifacts. Does culture…

Populations and Evolution · Quantitative Biology 2019-07-09 Liane Gabora , Diederik Aerts

The evolution of complexity has been a central theme for Biology and Artificial Life (Bonner, 1988; Bedau et al., 2000). Complexification has been interpreted in different ways: as a process of diversification between evolving units…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Carlos Gershenson , Tom Lenaerts

Biological systems reach organizational complexity that far exceeds the complexity of any known inanimate objects. Biological entities undoubtedly obey the laws of quantum physics and statistical mechanics. However, is modern physics…

Other Quantitative Biology · Quantitative Biology 2018-02-26 Mikhail I. Katsnelson , Yuri I. Wolf , Eugene V. Koonin

Social evolutionary theory seeks to explain increases in the scale and complexity of human societies, from origins to present. Over the course of the twentieth century, social evolutionary theory largely fell out of favor as a way of…

Multiagent Systems · Computer Science 2025-02-27 David H. Wolpert , Kyle Harper

The emergence of cosmic structure is commonly considered one of the most complex phenomena in Nature. However, this complexity has never been defined nor measured in a quantitative and objective way. In this work we propose a method to…

Cosmology and Nongalactic Astrophysics · Physics 2016-11-29 Franco Vazza

The primordial confrontation underlying the existence of our universe can be conceived as the battle between entropy and complexity. The law of ever-increasing entropy (Boltzmann H-theorem) evokes an irreversible, one-directional evolution…

Physics and Society · Physics 2015-06-18 Sorin Solomon , Natasa Golo

Assembly theory predicts that a distinguishing signature of life is its ability to produce complex molecules in abundance, opening new possibilities for life detection. Experimental validation of this approach has so far relied on abiotic…

Biological Physics · Physics 2025-09-08 Alexandre Champagne-Ruel , Christopher P. Kempes , Cole Mathis

Complex systems, such as life and languages, are governed by principles of evolution. The analogy and comparison between biology and linguistics\cite{alphafold2, RoseTTAFold, lang_virus, cell language, faculty1, language of gene, Protein…

Populations and Evolution · Quantitative Biology 2026-03-18 Li-Min Wang , Hsing-Yi Lai , Sun-Ting Tsai , Chen Siang Ng , Kevin Sheng-Kai Ma , Shan-Jyun Wu , Meng-Xue Tsai , Yi-Ching Su , Daw-Wei Wang , Tzay-Ming Hong

Cosmologists wish to explain how our Universe, in all its complexity, could ever have come about. For that, we assess the number of states in our Universe now. This plays the role of entropy in thermodynamics of the Universe, and reveals…

Cosmology and Nongalactic Astrophysics · Physics 2024-09-30 Marina Cortês , Stuart A. Kauffman , Andrew R. Liddle , Lee Smolin

The theory of natural selection has two forms. Deductive theory describes how populations change over time. One starts with an initial population and some rules for change. From those assumptions, one calculates the future state of the…

Populations and Evolution · Quantitative Biology 2016-11-15 Steven A. Frank

Natural selection explains how life has evolved over millions of years from more primitive forms. The speed at which this happens, however, has sometimes defied formal explanations when based on random (uniformly distributed) mutations.…

Neural and Evolutionary Computing · Computer Science 2018-06-22 Santiago Hernández-Orozco , Narsis A. Kiani , Hector Zenil

The unreduced, universally nonperturbative analysis of arbitrary interaction process, described by a quite general equation, provides the truly complete, "dynamically multivalued" general solution that leads to dynamically derived,…

General Physics · Physics 2007-05-23 Andrei P. Kirilyuk

Biological evolution is a complex blend of ever changing structural stability, variability and emergence of new phenotypes, niches, ecosystems. We wish to argue that the evolution of life marks the end of a physics world view of law…

Other Quantitative Biology · Quantitative Biology 2012-01-11 Giuseppe Longo , Maël Montévil , Stuart Kauffman

It is well known that life on Earth alters its environment over evolutionary and geological timescales. An important open question is whether this is a result of evolutionary optimization or a universal feature of life. In the latter case,…

Adaptation and Self-Organizing Systems · Physics 2017-04-26 Cole Mathis , Tanmoy Bhattacharya , Sara Imari Walker

The emergence of life from inanimate matter presents a thermodynamic challenge: the Second Law of Thermodynamics dictates a global trend towards disorder, yet life constitutes localized pockets of profound organization. This paper presents…

Statistical Mechanics · Physics 2026-03-17 Shlomo Segal