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Induction is a form of reasoning that starts with a particular example and generalizes to a rule, namely, a hypothesis. However, establishing the truth of a hypothesis is problematic due to the potential occurrence of conflicting events,…

Other Statistics · Statistics 2025-03-03 Youngjo Lee

Recently Pop ({\it Solar Phys.} {\bf 276}, 351, 2012) identified a Laplace (or double exponential) distribution in the number of days with a given absolute value in the change over a day, in sunspot number, for days on which the sunspot…

Solar and Stellar Astrophysics · Physics 2015-06-11 Patrick L. Noble , Michael S. Wheatland

We have found an empirical law for the variation of the length of the Earth's day with geologic time employing Wells's data. We attribute the lengthening of the Earth's day to the present cosmic expansion of the Universe. The prediction of…

General Physics · Physics 2008-11-21 Arbab I. Arbab

Is life most likely to emerge at the present cosmic time near a star like the Sun? We address this question by calculating the relative formation probability per unit time of habitable Earth-like planets within a fixed comoving volume of…

Cosmology and Nongalactic Astrophysics · Physics 2016-08-31 Abraham Loeb , Rafael A. Batista , David Sloan

Whether the fate of our species can be forecast from its past has been the topic of considerable controversy. One refutation of the so-called Doomsday Argument is based on the premise that we are more likely to exist in a universe…

Other Statistics · Statistics 2016-11-10 Fergus Simpson

The Sun is expected to increase its radiant output by about 10% per billion years. The rate at which the radius of the Earth's orbit would need to increase in order to keep the present value of the Sun's radiant flux at the Earth constant…

Popular Physics · Physics 2017-11-27 Mark A. Wessels

Standard solar models predict a solar luminosity that gradually increased by about 30% over the past 4.5 billion years. Under the faint sun, Earth should have been frozen solid for most of its existence. Yet, running water is observed to…

Astrophysics · Physics 2015-06-24 Nir J. Shaviv

A moderately massive early Sun has been proposed to resolve the so-called faint early Sun paradox. We calculate the time-evolution of the solar mass that would be required by this hypothesis, using a simple parametrized energy-balance model…

Astrophysics · Physics 2011-02-11 David A. Minton , Renu Malhotra

The difference between consecutive daily Sunspot Numbers was analysed. Its distribution was approximated on a large time scale with an exponential law. In order to verify this approximation a Maximum Entropy distribution was generated by a…

Solar and Stellar Astrophysics · Physics 2012-01-31 Mihail-Ioan Pop

A simple closed-form expression for the number of days between the winter solstice and the latest sunrise is derived. Formulas for the summer solstice and the sunset are derived as well. These approximate formulas make it easy to see the…

Astrophysics · Physics 2008-11-26 Matthias Reinsch

For more than 140 years the chemical composition of our Sun has been considered typical of solar-type stars. Our highly differential elemental abundance analysis of unprecedented accuracy (~0.01 dex) of the Sun relative to solar twins,…

Earth and Planetary Astrophysics · Physics 2015-05-14 J. Melendez , M. Asplund , B. Gustafsson , D. Yong , I. Ramirez

Human aging is marked by a steady rise in the risk of dying with age-a process demographers call senescence. Over the past century, life expectancy has risen dramatically, but is this because we are aging slower, or simply starting it…

Applications · Statistics 2026-04-13 Silvio Cabral Patricio

Models of the Sun's long-term evolution suggest that its luminosity was substantially reduced 2-4 billion years ago, which is inconsistent with substantial evidence for warm and wet conditions in the geological records of both ancient Earth…

Earth and Planetary Astrophysics · Physics 2018-12-19 Christopher Spalding , Woodward W. Fischer , Gregory Laughlin

The observation that we are among the first 10^{11} or so humans reduces the prior probability that we find ourselves in a species whose total lifetime number of individuals is much higher, according to arguments of Carter, Leslie, Nielsen,…

General Relativity and Quantum Cosmology · Physics 2012-12-24 Tomas Kopf , Pavel Krtous , Don N. Page

The prediction of the strength of future solar cycles is of interest because of its practical significance for space weather and as a test of our theoretical understanding of the solar cycle. The Babcock-Leighton mechanism allows…

Solar and Stellar Astrophysics · Physics 2018-08-29 Jie Jiang , Jing-Xiu Wang , Qi-Rong Jiao , Jin-Bin Cao

We present a detailed analysis of the possible future Sun's rotational evolution scenario based on the 8 Gyr-old solar twin HIP 102152. Using HARPS high-cadence observations (and TESS light curves), we analyzed the modulation of a variety…

Solar and Stellar Astrophysics · Physics 2020-04-01 Diego Lorenzo-Oliveira , Jorge Meléndez , Geisa Ponte , Jhon Yana Galarza

Individual probabilities refer to the probabilities of outcomes that are realized only once: the probability that it will rain tomorrow, the probability that Alice will die within the next 12 months, the probability that Bob will be…

Machine Learning · Computer Science 2023-05-09 Aaron Roth , Alexander Tolbert , Scott Weinstein

Recent precise observations of solar global parameters are used to calibrate an upgraded solar model which takes into account magnetic fields in the solar interior. Historical data about sunspot numbers (from 1500 to the present) and solar…

Astrophysics · Physics 2015-06-24 Sabatino Sofia , Linghuai H. Li

Ambitious civilizations that expand for resources at an intergalactic scale could be observable from a cosmological distance, but how likely is one to be visible to us? The question comes down to estimating the appearance rate of such…

Cosmology and Nongalactic Astrophysics · Physics 2020-02-20 S. Jay Olson

The 11-year solar cycle is the dominant pattern of solar activity reflecting the oscillatory dynamo mechanism in the Sun. Solar cycles were directly observed since 1700, while indirect proxies suggest their existence over a much longer…

Solar and Stellar Astrophysics · Physics 2021-03-30 I. G. Usoskin , S. K. Solanki , N. Krivova , B. Hofer , G. A. Kovaltsov , L. Wacker , N. Brehm , B. Kromer
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