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Why the Fermi paradox may not be well explained by Wong and Bartlett's theory of civilization collapse. A Comment on: 'Asymptotic burnout and homeostatic awakening: a possible solution to the Fermi paradox?' (2022) by Wong and Bartlett.
J R Soc Interface
October 2024
School of Management and Governance, University of New South Wales, Australia.
Wong and Bartlett explain the Fermi paradox by arguing that neither human nor extra-terrestrial civilizations can escape the time window singularity which, they claim, results from the way in which social characteristics of civilizations follow super-linear growth curves of cities. We question if data at the city level necessarily can lead to conclusions at the civilization level. More specifically, we suggest ways in which learnings from research, foresight, diversity and effective future government might act outside of their model to regulate super-linear growth curves of civilizations, and thus substantively increase the likelihood of civilizations progressing towards higher levels of the Kardashev scale.
View Article and Find Full Text PDFExactly solvable Stuart-Landau models in arbitrary dimensions.
Phys Rev E
September 2024
Department of Physics, Indian Institute of Technology Delhi, Delhi 110016, India.
We use Clifford's geometric algebra to extend the Stuart-Landau system to dimensions D>2 and give an exact solution of the oscillator equations in the general case. At the supercritical Hopf bifurcation marked by a transition from stable fixed-point dynamics to oscillatory motion, the Jacobian matrix evaluated at the fixed point has N=⌊D/2⌋ pairs of complex conjugate eigenvalues which cross the imaginary axis simultaneously. For odd D there is an additional purely real eigenvalue that does the same.
View Article and Find Full Text PDFUltrasound-dependent kinetics of bone mineralization.
Bone
March 2024
Department of Biology, Valdosta State University, Valdosta, GA 31698, USA. Electronic address:
Bone Mineral Density (BMD) is an important parameter in the development of orthopedic fracture-healing methods. A recent article (Inoue, S., et al.
View Article and Find Full Text PDFPath integral approach to universal dynamics of reservoir computers.
Phys Rev E
March 2023
Graduate School of Advanced Mathematical Sciences, Meiji University, Tokyo 164-8525, Japan.
In this work, we give a characterization of the reservoir computer (RC) by the network structure, especially the probability distribution of random coupling constants. First, based on the path integral method, we clarify the universal behavior of the random network dynamics in the thermodynamic limit, which depends only on the asymptotic behavior of the second cumulant generating functions of the network coupling constants. This result enables us to classify the random networks into several universality classes, according to the distribution function of coupling constants chosen for the networks.
View Article and Find Full Text PDFRole extraction for digraphs via neighborhood pattern similarity.
Phys Rev E
November 2022
Université catholique de Louvain, Department of Mathematical Engineering, Av. Lemaitre 4, B-1348 Louvain-la-Neuve, Belgium.
We analyze the recovery of different roles in a network modeled by a directed graph, based on the so-called Neighborhood Pattern Similarity approach. Our analysis uses results from random matrix theory to show that, when assuming that the graph is generated as a particular stochastic block model with Bernoulli probability distributions for the different blocks, then the recovery is asymptotically correct when the graph has a sufficiently large dimension. Under these assumptions there is a sufficient gap between the dominant and dominated eigenvalues of the similarity matrix, which guarantees the asymptotic correct identification of the number of different roles.
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