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We present a novel paradox in special relativity together with its solution. We call it the four particles paradox. The purpose of this paradox is pedagogical and therefore directed towards students and lecturers of physics. Even if most…

经典物理 · 物理学 2014-12-09 J. Manuel Garcia-Islas

It is shown how possible corrections to ordinary quantum mechanics described by the Lindblad equation might be detected by exploiting the great precision of atomic clocks.

量子物理 · 物理学 2016-11-02 Steven Weinberg

Consider the following story: A teacher announces to her students a test for the following week, such that the test will be ``surprising''. The students use this as the basis for a ``logical derivation'' and reach a contradiction, which…

逻辑 · 数学 2026-02-04 Martin Dietzfelbinger

In this article, we present several apparent paradoxes of special relativity and their respective solutions. These paradoxes have appeared since the advent of relativity in 1905, and in fact they are never paradoxes. From a didactic point…

科普物理 · 物理学 2023-07-13 G. Alencar , J. Macedo , L. Maranhão , P. Carneiro

Parrondo's paradox arises in sequences of games in which a winning expectation may be obtained by playing the games in a random order, even though each game in the sequence may be lost when played individually. We present a suitable version…

概率论 · 数学 2007-06-19 Antonio Di Crescenzo

Logical theories have been developed which have allowed temporal reasoning about eventualities (a la Galton) such as states, processes, actions, events, processes and complex eventualities such as sequences and recurrences of other…

人工智能 · 计算机科学 2017-05-03 B. O. Akinkunmi

We propose a solution to the quantum measurement paradox by first identifying its classical counterpart.

综合物理 · 物理学 2023-11-07 Alexander Givental

A global definition of time-asymmetry is presented. Schulman's two arrows of time model is criticized.

广义相对论与量子宇宙学 · 物理学 2007-05-23 Mario Castagnino , Luis Lara , Olimpia Lombardi

As a consequence of gravitomagnetism, which is a fundamental weak-field prediction of general relativity and ubiquitous in gravitational phenomena, clocks show a difference in their proper periods when moving along identical orbits in…

广义相对论与量子宇宙学 · 物理学 2007-05-23 H. Lichtenegger , W. Hausleitner , F. Gronwald , B. Mashhoon

The liar paradox is widely seen as not a serious problem. I try to explain why this view is mistaken.

历史与综述 · 数学 2017-02-14 Nik Weaver

This thesis presents the strong and weak forms of the Banach-Tarski paradox based on the Hausdorff paradox. It provides modernized proofs of the paradoxes and necessary properties of equidecomposable and paradoxical sets. The historical…

历史与综述 · 数学 2022-06-29 Mats Wahlberg

Agents' judgment depends on perception and previous knowledge. Assuming that previous knowledge depends on perception, we can say that judgment depends on perception. So, if judgment depends on perception, can agents judge that they have…

神经元与认知 · 定量生物学 2012-02-21 Ahmed M. Mahran

This paper gives a counterexample to the impossibility, by G\"odel's second incompleteness theorem, of proving a formula expressing the consistency of arithmetic in a fragment of arithmetic on the assumption that the latter is consistent.…

逻辑 · 数学 2007-05-23 Alexander S. Yessenin-Volpin , Christer Hennix

The Value Problem for weighted timed games (WTGs) consists in determining, given a two-player weighted timed game with a reachability objective and a rational threshold, whether or not the value of the game exceeds the threshold. This…

计算机科学与博弈论 · 计算机科学 2026-01-27 Quentin Guilmant , Joël Ouaknine , Isa Vialard

If time travel is possible, it seems to inevitably lead to paradoxes. These include consistency paradoxes, such as the famous grandfather paradox, and bootstrap paradoxes, where something is created out of nothing. One proposed class of…

广义相对论与量子宇宙学 · 物理学 2020-09-25 Jacob Hauser , Barak Shoshany

The origin and nature of time in complex systems is explored using quantum (or 'Feynman') clocks and the signals produced by them. Networks of these clocks provide the basis for the evolution of complex systems. The general concept of…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Scott Hitchcock

The phase of matter waves depends on proper time and is therefore susceptible to special-relativistic (kinematic) and gravitational (redshift) time dilation. Hence, it is conceivable that atom interferometers measure general-relativistic…

There are a number of problematic features within the current treatment of time in physical theories, including the "timelessness" of the Universe as encapsulated by the Wheeler-DeWitt equation. This paper considers one particular…

量子物理 · 物理学 2018-01-17 K. L. H. Bryan , A. J. M. Medved

The Delayed-Choice Quantum Eraser experiment is commonly interpreted as implying that in quantum mechanics a choice made at one time can influence an earlier event. We here suggest an extension of the experiment that results in a paradox…

量子物理 · 物理学 2021-11-29 Colm Bracken , Jonte R. Hance , Sabine Hossenfelder

This paper is concerned with the well known Jeffreys-Lindley paradox. In a Bayesian set up, the so-called paradox arises when a point null hypothesis is tested and an objective prior is sought for the alternative hypothesis. In particular,…

统计理论 · 数学 2015-03-16 Cristiano Villa , Stephen Walker