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Derrick's theorem on the nonexistence of stable time-independent scalar field configurations [G. H. Derrick, J. Math. Phys. 5, 1252 (1964)] is generalized to finite systems of arbitrary dimension. It is shown that the "dilation" argument…

High Energy Physics - Theory · Physics 2007-05-23 Artur B. Adib

Big Bang models of the Universe predict rapid domination by curvature, a paradox known as the flatness problem. Solutions to this problem usually leave the Universe exactly flat for every practical purpose. Explaining a nearly but not…

Astrophysics · Physics 2009-10-31 John D. Barrow , Joao Magueijo

In this work, we explore constraints on the emergence and longevity of technologically intelligent civilizations in our Galaxy, considering the Fermi paradox. We argue that under optimistic assumptions about the probability of life and…

Astrophysics of Galaxies · Physics 2026-02-27 Sohrab Rahvar , Shahin Rouhani

This is an analysis of the recently published article `Quantum theory cannot consistently describe the use of itself' by D. Frauchiger and R. Renner~\cite{1}. Here I decipher the paradox and analyze it from the point of view of de…

Quantum Physics · Physics 2018-12-13 Aurélien Drezet

The Darwinian paradigm of biological evolution is based on the separability of the variation and selection processes. As a result, the population thinking had always been an integral part of the Darwinian approach. I propose an alternative…

Other Quantitative Biology · Quantitative Biology 2007-05-23 Vasily Ogryzko

Quantum counterparts of Schrodinger's classical bridge problem have been around for the better part of half a century. During that time, several quantum approaches to this multifaceted classical problem have been introduced. In the present…

Quantum Physics · Physics 2025-03-11 Olga Movilla Miangolarra , Ralph Sabbagh , Tryphon T. Georgiou

The history of weak interactions starting with Fermi's creation of the beta decay theory and culminating in its modern avatar in the form of the electroweak gauge theory is described. Discoveries of parity violation, matter-antimatter…

History and Philosophy of Physics · Physics 2014-03-14 G. Rajasekaran

The paper discusses the basic paradoxes of thermodynamics and quantum mechanics. The approaches to solution of these paradoxes are suggested. The first one relies on the influence of the external observer (environment), which disrupts the…

Chaotic Dynamics · Physics 2013-08-02 Kupervasser Oleg

This review is an introduction to theoretical models and mathematical calculations for biological evolution, aimed at physicists. The methods in the field are naturally very similar to those used in statistical physics, although the…

Statistical Mechanics · Physics 2015-06-24 Barbara Drossel

In this paper we consider the extent to which a lack of observations from SETI may be used to quantify the Fermi paradox. Building on previous research, we construct a geometrical model to compute the probability of at least one detection…

Instrumentation and Methods for Astrophysics · Physics 2025-12-29 Matthew Civiletti

Complementarity tells us we cannot know precisely the values of all the properties of a quantum object at the same time: the precise determination of one property implies that the value of some other (complementary) property is undefined.…

Quantum Physics · Physics 2023-08-30 Lorenzo Maccone

In 1932, Fermi presented a two-atom model for determining whether quantum mechanics is consistent with causality, and concluded that indeed it is. In the late 1960's, Shirokov and others found that Fermi's approximations may not have been…

Quantum Physics · Physics 2020-03-13 J. S. Ben-Benjamin

The concept of an evolutionarily stable strategy (ESS), introduced by Smith and Price, is a refinement of Nash equilibrium in 2-player symmetric games in order to explain counter-intuitive natural phenomena, whose existence is not…

Computational Complexity · Computer Science 2017-01-30 Themistoklis Melissourgos , Paul Spirakis

Una de las presuposiciones de la ciencia desde los tiempos de Galileo, Newton y Laplace ha sido la previsibilidad del mundo. Esta idea ha influido en los modelos cientificos y tecnologicos. Sin embargo, en las ultimas decadas, el caos y la…

Adaptation and Self-Organizing Systems · Physics 2009-06-01 Carlos Gershenson

Epstein introduced an agent-based model called Demographic Prisoner's dilemma. He shows, via simulations, that cooperation in this spatial evolutionary repeated game can be sustained. In order to do proves, we put on this model a particle…

Probability · Mathematics 2016-09-22 Sylvain Gibaud

We study in this paper certain properties of the responses of dynamical systems to external inputs. The motivation arises from molecular systems biology. and, in particular, the recent discovery of an important transient property, related…

Systems and Control · Computer Science 2015-03-17 Oren Shoval , Uri Alon , Eduardo Sontag

This work advances and substantiates the thesis that the resolution of this crisis lies in the domain of possibility theory, specifically in the axiomatic approach developed in Bychkovs article. Unlike numerous attempts to fix Dempster…

Artificial Intelligence · Computer Science 2025-12-08 Bychkov Oleksii , Bychkova Sophia , Lytvynchuk Khrystyna

Fermi helped establish a new framework for understanding matter, based on quantum theory. This framework refines and improves traditional atomism in two crucial respects. First, the elementary constituents of matter belong to a very small…

History and Philosophy of Physics · Physics 2007-05-23 Frank Wilczek

Using the Fermi Golden Rule analysis developed in several results by the first author, we prove asymptotic stability of asymmetric nonlinear bound states bifurcating from linear bound states for a quintic nonlinear Schr\"odinger operator…

Analysis of PDEs · Mathematics 2011-03-02 Scipio Cuccagna , Jeremy L. Marzuola

Many-body states described by a Schr\"{o}dinger equation include states of overlapping waves of non-vanishing interaction energies. These peculiar states formed in many-body transitions remain in asymptotic regions, and lead a new component…

High Energy Physics - Phenomenology · Physics 2020-06-24 Kenzo Ishikawa , Yutaka Tobita