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The study of formations and dynamics of opinions leading to the so called opinion consensus is one of the most important areas in mathematical modeling of social sciences. Following the Boltzmann type control recently introduced in [G.…

Optimization and Control · Mathematics 2015-06-19 Giacomo Albi , Lorenzo Pareschi , Mattia Zanella

Recent developments in cosmology suggest that much of the universe is in a state of explosive, accelerated expansion, called inflation. We live in a "bubble" where inflation has ended, and other bubbles with diverse properties are…

High Energy Physics - Theory · Physics 2011-08-26 Alexander Vilenkin

I review the basis and limitations of plausible inference in cosmology, in particular the limitation that it can only provide fundamentally true inferences when the hypotheses under consideration form a set that is exhaustive. They never…

Cosmology and Nongalactic Astrophysics · Physics 2009-10-20 David W. Hogg

The observed late-time acceleration of the Universe may be the result of unknown physical processes involving either modifications of gravitation theory or the existence of new fields in high energy physics. In the former case, such…

Astrophysics · Physics 2008-11-26 N. Pires , Zong-Hong Zhu , J. S. Alcaniz

Observational cosmology is in its "golden age" with a vast amount of recent data on the distribution of matter and light in the universe. This data can be used to probe theories of the very early universe. It is small amplitude cosmological…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-19 Robert H. Brandenberger

The theory of cosmological perturbations is extended to spacetimes displaying isotropic expansion but anisotropic curvature. The perturbed Einstein equation and Boltzmann equations for massless and massive particles are derived in a general…

General Relativity and Quantum Cosmology · Physics 2014-05-08 T. G. Zlosnik

The rise of deep learning challenges the longstanding scientific ideal of insight - the human capacity to understand phenomena by uncovering underlying mechanisms. In many modern applications, accurate predictions no longer require…

Computational Physics · Physics 2025-06-05 Jean-Michel Tucny , Mihir Durve , Sauro Succi

Thanks to new technology of observations and fresh inputs from particle physics, cosmology has advanced on both observational and theoretical fronts. It is therefore opportune that we take stock of the cosmological situation today and…

Astrophysics · Physics 2016-08-30 J. S. Bagla , T. Padmanabhan , J. V. Narlikar

Generic models of propelled particle systems posit that the emergence of polar order is driven by the competition between local alignment and noise. Although this notion has been confirmed employing the Boltzmann equation, the range of…

Soft Condensed Matter · Physics 2013-11-26 Florian Thüroff , Christoph A. Weber , Erwin Frey

Some versions of quantum theory treat wave function collapse as a fundamental physical phenomenon to be described by explicit laws. One motivation is to find a consistent unification of quantum theory and gravity, in which collapse prevents…

Quantum Physics · Physics 2019-07-17 Adrian Kent

When humans infer underlying probabilities from stochastic observations, they exhibit biases and variability that cannot be explained on the basis of sound, Bayesian manipulations of probability. This is especially salient when beliefs are…

Neurons and Cognition · Quantitative Biology 2021-07-08 Arthur Prat-Carrabin , Florent Meyniel , Misha Tsodyks , Rava Azeredo da Silveira

Like students facing hard exam questions, large language models sometimes guess when uncertain, producing plausible yet incorrect statements instead of admitting uncertainty. Such "hallucinations" persist even in state-of-the-art systems…

Computation and Language · Computer Science 2025-09-08 Adam Tauman Kalai , Ofir Nachum , Santosh S. Vempala , Edwin Zhang

Broadband spontaneous macroscopic neural oscillations are rhythmic cortical firing which were extensively examined during the last century, however, their possible origination is still controversial. In this work we show how macroscopic…

Neurons and Cognition · Quantitative Biology 2015-11-03 Amir Goldental , Roni Vardi , Shira Sardi , Pinhas Sabo , Ido Kanter

We propose an alternative anthropic probability for calculating the probabilities in eternal inflation. This anthropic probability follows naturally from the weak anthropic principle, and does not suffer the freak observer or the typicality…

High Energy Physics - Theory · Physics 2007-08-31 Miao Li , Yi Wang

The role of memory time fluctuations for instabilities in random media is considered. It is shown that fluctuations can result in infinitely fast growth of statistical moments. The effect is demonstrated in the framework of light…

Plasma Physics · Physics 2025-01-13 S. Pavlenko , E. Illarionov , D. Sokoloff

Suppose an astronomer is equipped with a device capable of detecting emissions -- whether they be electromagnetic, gravitational, or neutrino -- from transient sources distributed throughout the cosmos. Because of source rate density…

Astrophysics · Physics 2009-11-11 D. M. Coward , R. R. Burman

This paper is a shortened version of the full paper that was published in the journal Frontiers of Psychology in May 2022. In recent decades, the scientific study of consciousness has significantly increased our understanding of this…

Neurons and Cognition · Quantitative Biology 2025-02-21 Nir Lahav , Zachariah A. Neemeh

It is widely accepted by physicists and philosophers of physics alike that there are certain contexts in which general relativity will "break down". In such cases, one expects to need some as-yet undiscovered successor theory. This paper…

History and Philosophy of Physics · Physics 2022-04-11 James Owen Weatherall

The evolution of the human mind through natural selection mandates that our conscious experiences are causally potent in order to leave a tangible impact upon the surrounding physical world. Any attempt to construct a functional theory of…

Neurons and Cognition · Quantitative Biology 2024-05-10 Danko D. Georgiev

The self-tuning brane scenario is an attempt to solve the cosmological constant problem in the context of extra dimensions. Rather than making the vacuum energy small, this approach proceeds by removing the gravitational effect of vacuum…

High Energy Physics - Theory · Physics 2009-11-07 Sean M. Carroll , Laura Mersini