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Niels Bohr's arguments indicating the non-applicability of quantum methodology to the study of the ultimate details of life given in his book "Atomic physics and human knowledge" conflict with the commonly held opposite view. The bases for…

Quantum Physics · Physics 2019-03-07 Brian D. Josephson

The apparently trifling unexpected hanging paradox has generated an enormous philosophical literature. We introduce the mathematician to this literature, paying special attention to aspects that involve nontrivial mathematics. This xxx…

Logic · Mathematics 2011-06-28 Timothy Y. Chow

Here, by introducing a version of Unexpected hanging paradox first we try to open a new way and a new explanation for paradoxes, similar to liar paradox. Also, we will show that we have a semantic situation which no syntactical logical…

Logic · Mathematics 2015-06-30 Farzad Didehvar

Taking the decoherence into account, we investigate nonclassical features of the optical Schr\"odinger cat states in one mode and two coupled-modes systems with two-photon driving. In the one mode system, the relationship between the…

Quantum Physics · Physics 2017-07-19 X. L. Zhao , Z. C. Shi , M. Qin , X. X. Yi

Schr\"odinger's cat originates from the famous thought experiment querying the counterintuitive quantum superposition of macroscopic objects. As a natural extension, several "cats" (quasi-classical objects) can be prepared into coherent…

Let $T_{\epsilon}$ be the lifespan for the solution to the Schr\"odinger equation on $\mathbb{R}^d$ with a power nonlinearity $\lambda |u|^{2\theta/d}u$ ($\lambda \in \mathbb{C}$, $0<\theta<1$) and the initial data in the form $\epsilon…

Analysis of PDEs · Mathematics 2017-03-10 Yuji Sagawa , Hideaki Sunagawa , Shunsuke Yasuda

The classical logical antinomy known as Richard-Berry paradox is combined with plausible assumptions about the size i.e. the descriptional complexity of Turing machines formalizing certain sentences, to show that formalization of language…

Computation and Language · Computer Science 2008-07-25 Stefano Crespi Reghizzi

The purpose of this manuscript is to provide a short pedagogical explanation why "quantum collapse" is not a metaphysical event, by pointing out the analogy with a "classical collapse" which is associated with the Monty Hall Paradox.

Quantum Physics · Physics 2007-05-23 Doron Cohen

The article presents the detailed analysis of the watch paradox. It is shown that it arose because of unjustified, as it turned out, identification of watch readings at the moment of its return with the time read by it.

General Physics · Physics 2007-10-02 I. A. Solomeshch

The aim of this paper is to find the exact solutions of the Schrodinger equation. As is known, the Schrodinger equation can be reduced to the continuum equation. In this paper, using the non-linear Legendre transform the equation of…

Quantum Physics · Physics 2018-10-17 E. E. Perepelkin , B. I. Sadovnikov , N. G. Inozemtseva , A. A. Tarelkin

The origins of life stands among the great open scientific questions of our time. While a number of proposals exist for possible starting points in the pathway from non-living to living matter, these have so far not achieved states of…

Populations and Evolution · Quantitative Biology 2017-05-24 Sara I. Walker

The fundamental aim of the paper is to correct an harmful way to interpret a Goedel's erroneous remark at the Congress of Koenigsberg in 1930. Despite the Goedel's fault is rather venial, its misreading has produced and continues to produce…

History and Overview · Mathematics 2022-09-15 Giuseppe Raguni

The theoretical biologist Robert Rosen developed a highly original approach for investigating the question "What is life?", the most fundamental problem of biology. Considering that Rosen made extensive use of mathematics it might seem…

Other Quantitative Biology · Quantitative Biology 2017-08-15 Ivo Siekmann

The 1961 Ellsberg paradox is typically seen as an empirical challenge to the subjective expected utility framework. Experiments based on Ellsberg's design have spawned a variety of new approaches, culminating in a new paradigm represented…

Theoretical Economics · Economics 2023-01-10 Christoph Kuzmics , Brian W. Rogers , Xiannong Zhang

Recently, the educational initiative TED-Ed has published a popular brain teaser coined the 'frog riddle', which illustrates non-intuitive implications of conditional probabilities. In its intended form, the frog riddle is a reformulation…

Data Analysis, Statistics and Probability · Physics 2017-05-03 Daniel Hetterich , Florian Geissler

Notwithstanding its long history and compelling motivation, research seeking to explicate the emergence life (EoL) has throughout been a cacophony of unresolved speculation and dispute; absent still any clear convergence or other inarguable…

Populations and Evolution · Quantitative Biology 2023-12-05 Elbert Branscomb

Ever since the advent of quantum mechanics, it has been clear that the atoms composing matter do not obey Newton's laws. Instead, their behavior is described by the Schroedinger equation. Surprisingly though, until recently, no clear…

Quantum Physics · Physics 2007-05-23 Tanmoy Bhattacharya , Salman Habib , Kurt Jacobs

The possibility of a fundamental consistency between the basic quantum principles and reduction (so-called wave function reduction) is reexamined. The mathematical description of an organized macroscopic device is constructed explicitly as…

Quantum Physics · Physics 2010-02-15 Roland Omnes

The Wigner's friend paradox concerns one of the most puzzling problems of quantum mechanics: the consistent description of multiple nested observers. Recently, a variation of Wigner's gedankenexperiment, introduced by Frauchiger and Renner,…

Gray (2015) argued that the Fermi paradox (FP) is a misnomer, and it is not a valid paradox. Gray also speculated that the argument was misattributed to Fermi, whose lunchtime remarks did not pertain to the existence of extraterrestrial…

General Physics · Physics 2016-10-03 Milan M. Cirkovic