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The cerebrum of mammals spans a vast range of sizes and yet has a very regular structure. The amount of folding of the cortical surface and the proportion of white matter gradually increase with size, but the underlying mechanisms remain…

Neurons and Cognition · Quantitative Biology 2022-06-14 Marc H. E. de Lussanet

This paper examines a number of analytic models which can describe the gravitationally stabilized fusion reactor of the Sun. An analytical multiparameter model is shown to reproduce various structure parameters such as density, mass,…

Classical Analysis and ODEs · Mathematics 2016-09-06 Hans J. Haubold , Arak Mathai Mathai

Multimodal normal incestual systems are investigated in terms of multiple categories. The different sorted composition of operators are exhibited as 2-cells in multiple categories built up from 2-categories giving rise to different axioms.…

Category Theory · Mathematics 2015-08-11 Joaquín Díaz Boils

The monster tower is a tower of spaces over a specified base; each space in the tower is a parameter space for curvilinear data up to a specified order. We describe and analyze a natural stratification of these spaces.

Algebraic Geometry · Mathematics 2023-08-21 Alex Castro , Susan Jane Colley , Gary Kennedy , Corey Shanbrom

The notion of composite system made up of distinguishable parties is investigated in the context of arbitrary convex spaces.

Quantum Physics · Physics 2019-08-21 Florio M. Ciaglia , Alberto Ibort , Giuseppe Marmo

We give an introduction to the cosmological multiverse, aimed at an audience of artists. We discuss general relativity -- our modern theory of gravity -- and the cosmological constant, which is widely believed to be responsible for the…

Popular Physics · Physics 2026-05-27 Oliver Janssen

In this brief note, we would like to point out that large-scale structures like galaxies and superclusters would arise quite naturally in the universe.

Astrophysics · Physics 2007-05-23 B. G. Sidharth

Real-world design processes often involve the evolution and divergence of design paths (by branching, revising, merging, etc.), especially when multiple stakeholders or teams operate concurrently and/or explore different alternatives for…

Software Engineering · Computer Science 2025-09-09 Sylvain Guérin , Salvador Martinez , Ciprian Teodorov

Recent analysis of the distribution of clusters of galaxies is reviewed. Clusters of galaxies located in rich superclusters form a quasiregular lattice. The mean power spectrum of galaxies and clusters has been found, it has a peak at…

Astrophysics · Physics 2007-05-23 Jaan Einasto

Research done during the previous century established our Standard Cosmological Model. There are many details still to be filled in, but few would seriously doubt the basic premise. Past surveys have revealed that the large-scale…

Astrophysics · Physics 2008-11-26 Bernard J. T. Jones , Vicent J. Martinez , Enn Saar , Virginia Trimble

We review three studies of information flow in social networks that help reveal their underlying social structure, how information spreads through them and why small world experiments work.

Disordered Systems and Neural Networks · Physics 2017-08-23 Bernardo A. Huberman , Lada A. Adamic

We consider redshift drift in a general space-time as expressed in terms of physically interpretable multipole series. An important realisation from the derived results is that redshift drift cannot in general be thought of as a direct…

General Relativity and Quantum Cosmology · Physics 2021-02-03 Asta Heinesen

Our laws of nature and our cosmos appear to be delicately fine-tuned for life to emerge, in a way that seems hard to attribute to chance. In view of this, some have taken the opportunity to revive the scholastic Argument from Design,…

History and Philosophy of Physics · Physics 2015-05-22 Klaas Landsman

A standard theoretical paradigm for the formation of large-scale structure in the distribution of galaxies has now been established, based on the gravitational instability of cold dark matter in a background cosmology dominated by vacuum…

Astrophysics · Physics 2007-05-23 Peter Coles

Cosmological models that invoke a multiverse - a collection of unobservable regions of space where conditions are very different from the region around us - are controversial, on the grounds that unobservable phenomena shouldn't play a…

History and Philosophy of Physics · Physics 2018-01-17 Sean M. Carroll

We define and study complex structures and generalizations on spaces consisting of geodesics or harmonic maps that are compatible with the symmetries of these spaces. The main results are about existence and uniqueness of such structures.

Differential Geometry · Mathematics 2019-01-14 László Lempert

Observations on the past provide some hints about what will happen in the future, and this can be quantified using information theory. The ``predictive information'' defined in this way has connections to measures of complexity that have…

Statistical Mechanics · Physics 2007-05-23 William Bialek , Naftali Tishby

We assume that the universe consists of clusters which in turns have sub-clusters and the sub-clusters have sub-subclusters and so on. Confining to three-dimensional space, it is shown that the universe is expanding if entropy of the…

General Physics · Physics 2007-05-23 Shahid N. Afridi , M. Khalid Khan

A better understanding of the formation of large-scale structure in the Universe is arguably the most pressing question in cosmology. The most compelling and promising theoretical paradigm, Inflation + Cold Dark Matter, holds that the…

Astrophysics · Physics 2009-10-30 Michael S. Turner

In our previous arXiv papers ("The Information and the Matter", v1, v5; more systematically the informational conception is presented in the paper "The Information as Absolute", 2010) it was rigorously shown that Matter in our Universe -…

General Physics · Physics 2021-09-08 Sergey V. Shevchenko , Vladimir V. Tokarevsky