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Central to our understanding of chemical reactivity is the principle of mass conservation, which is fundamental for ensuring physical consistency, balancing equations, and guiding reaction design. However, data-driven computational models…

In a recent paper [quant-ph/0604079], Conway and Kochen claim to have established that theories of the GRW type, i.e., of spontaneous wave function collapse, cannot be made relativistic. On the other hand, relativistic GRW-type theories…

量子物理 · 物理学 2007-05-23 Roderich Tumulka

In this paper we introduce a new approach for calculating dynamical properties within the numerical renormalization group. It is demonstrated that the method previously used fails for the Anderson impurity in a magnetic field due to the…

强关联电子 · 物理学 2009-10-31 Walter Hofstetter

While it is usually stated that dimensional regularization (DR) has no direct physical interpretation, consensus has recently grown on the idea that it might be endowed with special physical properties that would provide the mechanism that…

高能物理 - 理论 · 物理学 2022-09-21 Carlo Branchina , Vincenzo Branchina , Filippo Contino , Neda Darvishi

We review the main arguments against antigravity, a different acceleration of antimatter relative to matter in a gravitational field, discussing and challenging Morrison's, Good's and Schiff's arguments. Following Price, we show that, very…

广义相对论与量子宇宙学 · 物理学 2018-11-14 Gabriel Chardin , Giovanni Manfredi

A number of well-known difficulties in physics resulted from merging the theory of relativity with the Compton-de Broglie wave mechanics. Two such problems were the failure of Dirac's relativistic wave equation to predict the correct…

综合物理 · 物理学 2015-06-26 Ezzat G. Bakhoum

Current research in multimodal models faces a key challenge where enhancing generative capabilities often comes at the expense of understanding, and vice versa. We analyzed this trade-off and identify the primary cause might be the…

计算机视觉与模式识别 · 计算机科学 2026-04-01 Sen Ye , Mengde Xu , Shuyang Gu , Di He , Liwei Wang , Han Hu

I examine how two specific examples of modified gravity explanations of cosmic acceleration help us understand some general problems confronting cosmological tests of gravity: how do we distinguish modified gravity from dark energy if they…

宇宙学与河外天体物理 · 物理学 2009-11-05 Wayne Hu

In this comment on arXiv:2308.07360 it is pointed out that though the authors raise an important question on the prevailing presentations of the unimodular gravity their own presentation is incomplete as well as confusing equating…

广义相对论与量子宇宙学 · 物理学 2024-06-04 S. C. Tiwari

Despite the high performance achieved by deep neural networks on various tasks, extensive studies have demonstrated that small tweaks in the input could fail the model predictions. This issue of deep neural networks has led to a number of…

机器学习 · 计算机科学 2022-02-22 Ming-Chang Chiu , Xuezhe Ma

We know that the generally accepted theories of gravity and quantum mechanics are fundamentally incompatible. Thus, when we try to combine these theories, we must beware of physical pitfalls. Modern theories of quantum gravity are trying to…

高能物理 - 唯象学 · 物理学 2007-05-23 Michael Martin Nieto , T. Goldman , John D. Anderson , Eunice L. Lau , J. Pérez-Mercader

The reduction of dynamical systems has a rich history, with many important applications related to stability, control and verification. Reduction of nonlinear systems is typically performed in an exact manner - as is the case with…

最优化与控制 · 数学 2007-07-26 Paulo Tabuada , Aaron D. Ames , Agung Julius , George J. Pappas

In this reply we show that the criticisms raised by J. Noronha are based on a misapplication of the model we have proposed in [A. Jaouadi, M. Telmini, E. Charron, Phys. Rev. A 83, 023616 (2011)]. Here we explicitly discuss the range of…

量子物理 · 物理学 2015-07-09 A Jaouadi , M Telmini , Eric Charron

This is a companion to another paper. Together they rebut two widespread philosophical doctrines about emergence. The first, and main, doctrine is that emergence is incompatible with reduction. The second is that emergence is supervenience;…

物理学史与哲学 · 物理学 2011-06-06 Jeremy Butterfield

In a paper by Villata (2011), the possibility of a repulsive gravitational interaction between antimatter and ordinary matter was discussed. The author argued that this anti-gravity can be regarded as a prediction of general relativity,…

宇宙学与河外天体物理 · 物理学 2015-04-17 Yuan-Sen Ting

Modified Newtonian Dynamics (MOND) is an alternative to the dark matter hypothesis that attempts to explain the "missing gravity" problem in astrophysics and cosmology through a modification to objects' dynamics. Since its conception in…

宇宙学与河外天体物理 · 物理学 2025-05-29 Harry Desmond

Traditional general circulation models, or GCMs -- i.e. 3D dynamical models with unresolved terms represented in equations with tunable parameters -- have been a mainstay of climate research for several decades, and some of the pioneering…

大气与海洋物理 · 物理学 2022-12-21 V. Balaji , Fleur Couvreux , Julie Deshayes , Jacques Gautrais , Frédéric Hourdin , Catherine Rio

Contraction theory is a mathematical framework for studying the convergence, robustness, and modularity properties of dynamical systems and algorithms. In this opinion paper, we provide five main opinions on the virtues of contraction…

系统与控制 · 电气工程与系统科学 2025-07-24 Alexander Davydov , Francesco Bullo

Dynamic programming on tree decompositions is a frequently used approach to solve otherwise intractable problems on instances of small treewidth. In recent work by Bodlaender et al., it was shown that for many connectivity problems, there…

数据结构与算法 · 计算机科学 2013-06-03 Stefan Fafianie , Hans L. Bodlaender , Jesper Nederlof

According to Einstein, the trajectory of a particle that is predicted by special relativistic mechanics is well approximated by the trajectory predicted by Newtonian mechanics if the particle speed is low, i.e., much less than the speed of…

经典物理 · 物理学 2015-06-26 Boon Leong Lan