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The St. Petersburg paradox is the oldest paradox in decision theory and has played a pivotal role in the introduction of increasing concave utility functions embodying risk aversion and decreasing marginal utility of gains. All attempts to…

Optimization and Control · Mathematics 2021-11-30 V. I. Yukalov

Heavy-Fermions provide an extreme example of the utility of the idea of continuity and analyticity in physics. Their discovery and study in the past thirty years has added a fascinating chapter to condensed matter physics. I briefly review…

Strongly Correlated Electrons · Physics 2016-08-31 C. M. Varma

This chapter introduces evolutionary antifragility as the time-scale interaction characteristics of a natural dynamic system. It describes the benefit derived from input distribution unevenness, based on the emergent system dynamics and its…

Populations and Evolution · Quantitative Biology 2025-04-25 Cristian Axenie , Roman Bauer , Oliver Lopez Corona , Elvia Ramirez-Carrillo , Ari Barnett , Jeffrey West

Life systems are complex and hierarchical, with diverse components at different scales, yet they sustain themselves, grow, and evolve over time. How can a theory of such complex biological states be developed? Here we note that for a…

Biological Physics · Physics 2024-10-03 Kunihiko Kaneko

What is the true meaning of quantum superposition? Can a particle genuinely reside in several places simultaneously? These questions lie at the heart of this paper which presents an updated survey of some important stages in the evolution…

Quantum Physics · Physics 2017-08-31 Eliahu Cohen , Avshalom C. Elitzur

In 1993, just about a century after the epoch of Classical Invariant Theory and almost 30 years after Mumford's seminal book on Geometric Invariant Theory, Bernd Sturmfels approached the subject from a new, algorithmic perspective in his…

Commutative Algebra · Mathematics 2024-03-20 Gregor Kemper

We critically investigate some evolutionary aspects of the famous Drake equation, which is usually presented as the central guide for the research on extraterrestrial intelligence. It is shown that the Drake equation tacitly relies on…

Astrophysics · Physics 2009-11-07 Milan M. Cirkovic

Drawing upon a body of research on the evolution of creativity, this paper proposes a theory of how, when, and why the forward-thinking story-telling abilities of humans evolved, culminating in the visionary abilities of science fiction…

Neurons and Cognition · Quantitative Biology 2019-03-15 Liane Gabora

Unimodular quantum cosmology admits wavepacket solutions that evolve according to a kind of Schr\"odinger equation. Though this theory is equivalent to general relativity on the classical level, its canonical structure is different and the…

General Relativity and Quantum Cosmology · Physics 2022-12-07 Natascha Riahi

In this paper we derive the Schroedinger equation by assuming it describes the time evolution of a deterministic and reversible process that leaves at each moment in time a different observable well defined; that is, it allows an accurate…

Quantum Physics · Physics 2008-09-08 Gabriele Carcassi

I argue that Deutsch's model for the behavior of systems traveling around closed timelike curves (CTCs) relies implicitly on a substantive metaphysical assumption. Deutsch is employing a version of quantum theory with a significantly…

Quantum Physics · Physics 2016-01-19 Lucas Dunlap

Several authors have recently explored the idea that physical constants such as c and G might vary over time and have formulated theories describing this variation that can address a range of cosmological problems. Such work typically…

Astrophysics · Physics 2007-05-23 A. Buchalter

The EPR (Einstein, Podolsky, Rosen) argument and the Schrodinger cat paradox are revisited in relation with modern quantum optics and atomic physics and with the concept of decoherence. It is shown that the questions raised fifty years ago…

Quantum Physics · Physics 2007-05-23 Pierre Roussel

We study the problem of existence of response solutions for a real-analytic one-dimensional system, consisting of a rotator subjected to a small quasi-periodic forcing. We prove that at least one response solution always exists, without any…

Dynamical Systems · Mathematics 2015-05-20 Livia Corsi , Guido Gentile

The Fermi paradox highlights the dichotomy between the lack of physical contact with other civilizations and the expectation that technological civilizations are assumed likely to evolve in many locations in the Milky Way galaxy, given the…

Popular Physics · Physics 2014-06-18 Daniel Cartin

Darwin's book, Origin of the Species has been a source of public controversy for more than hundred and fifty years. Court cases and mountains of words have not dispelled this controversy. In this paper, a quantitative approach using simple…

Populations and Evolution · Quantitative Biology 2010-06-04 Vernon Williams

We explore Fermi's Paradox via a system of differential equations and using simulations of dispersal and interactions between competing interplanetary civilizations. To quantify the resources and potentials of these worlds, three different…

Physics and Society · Physics 2024-11-04 Gregory Roudenko , Yurrian Pierre-Boyer

Time-dependent Schroedinger equation represents the basis of any quantum-theoretical approach. The question concerning its proper content in comparison to the classical physics has not been, however, fully answered until now. It will be…

Quantum Physics · Physics 2007-05-23 Milos V. Lokajicek

In this Letter, we investigate the effects of a time-dependent, short-ranged interaction on the long-time expansion dynamics of Fermi gases. We show that the effects of the interaction on the dynamics is dictated by how it changes under a…

Quantum Gases · Physics 2022-02-02 Jeff Maki , Shizhong Zhang , Fei Zhou

In this paper, a solution to Zeno's paradox of motion was offered and a possible, based on observations and empirical viewpoint, interpretation. A gedanken experiment was proposed in accordance to our empirical and experimental paradigm,…

History and Philosophy of Physics · Physics 2025-09-16 Manuel A. B. Bache , Jorge Hernandez-Contreras