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This preprint concerns a mathematically rigorous treatment of an interesting physical phenomenon in relativity theory. We would like to draw the reader's attention particularly to the abstract mathematical formalism of relativity (which was…

Mathematical Physics · Physics 2007-05-23 T. Matolcsi , M. Matolcsi , T. Tasnádi

Visualization as a discipline often grapples with generalization by reasoning about how study results on the efficacy of a tool in one context might apply to another context. This work offers an account of the logic of generalization in…

Human-Computer Interaction · Computer Science 2025-08-12 Alex Kale

There are many books on the classical subject of special relativity. However, after having spent a number of years, both in relativistic engineering and research with relativity, I have come to the conclusion that there exist a place for a…

Classical Physics · Physics 2026-03-26 Evgeny Saldin

The Palatini formulation is used to develop a genuine connection theory for general relativity, in which the gravitational field is represented by a Lorentz-valued spin connection. The existence of a tetrad field, given by the Fock-Ivanenko…

General Relativity and Quantum Cosmology · Physics 2007-05-23 R. Aldrovandi , H. I. Arcos , J. G. Pereira

Very special relativity (VSR) keeps the main features of special relativity but breaks rotational invariance. It can not be regarded as a fundamental symmetry of nature because many observed phenomena depend on the existence of Lorentz…

High Energy Physics - Theory · Physics 2014-09-22 Jorge Alfaro , Victor O. Rivelles

I give a pedagogical introduction to the concepts and the tools that are necessary to study particle physics models in higher dimensions. I then give a more detailed presentation of warped compactifications and discuss their possible…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Rattazzi

This article reports on an investigation of student understanding of the concept of time in special relativity. A series of research tasks are discussed that illustrate, step-by-step, how student reasoning of fundamental concepts of…

Physics Education · Physics 2021-02-03 Rachel E. Scherr , Peter S. Shaffer , Stamatis Vokos

Effective physics learning, especially in complex topics, requires balancing mathematical formalism with conceptual understanding. Conceptual problem-solving involves connecting math to physical reality, and using an epistemological…

Physics Education · Physics 2025-11-24 Matteo Tuveri , Andrea Pierfrancesco Sanna , Mariano Cadoni

We present how to implement special relativity in computer games. The resultant relativistic world shows the time dilation and Lorentz contraction exactly, not only for the player but also for all the nonplayer characters, who obey the…

Classical Physics · Physics 2017-10-05 Daiju Nakayama , Kin-ya Oda

Teaching the general theory of relativity to high school or undergraduate students must be based on an approach that is conceptual rather than mathematical. In this paper we present such an approach that requires no more than elementary…

Physics Education · Physics 2015-06-19 C. Zahn , U. Kraus

The distinction between the real positions of moving objects in a single reference frame and the apparent positions of objects at rest in one inertial frame and viewed from another, as predicted by the space-time Lorentz Transformations, is…

General Physics · Physics 2010-06-17 J. H. Field

In order to describe natural phenomena, science develops sophisticated models that use mathematical and formal languages which seem, and often are, very far from common experience. When a phenomenon is not accessible to our senses, its…

Physics Education · Physics 2016-01-08 Vera Montalbano

What is a visualization? There is limited utility in trifling with definitions, except insofar as one serves as a tool for communicating and conceptualizing our subject matter; a statement of identity for a community. To establish…

Human-Computer Interaction · Computer Science 2020-09-30 Amy Rae Fox

Common-sense physical reasoning in the real world requires learning about the interactions of objects and their dynamics. The notion of an abstract object, however, encompasses a wide variety of physical objects that differ greatly in terms…

Machine Learning · Computer Science 2020-12-16 Aleksandar Stanić , Sjoerd van Steenkiste , Jürgen Schmidhuber

This chapter provides three tutorial exercises on physics-constrained regression. These are implemented as toy problems that seek to mimic grand challenges in (1) the super-resolution and data assimilation of the velocity field in image…

Fluid Dynamics · Physics 2025-12-02 Miguel A. Mendez , Jan van Den Berghe , Manuel Ratz , Matilde Fiore , Lorenzo Schena

This Resource Letter provides some guidance on issues that arise in teaching general relativity at both the undergraduate and graduate levels. Particular emphasis is placed on strategies for presenting the mathematical material needed for…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Robert M. Wald

Large language models have become multimodal, and many of them are said to integrate their modalities using common representations. If this were true, a drawing of a car as an image, for instance, should map to a similar area in the latent…

Computer Vision and Pattern Recognition · Computer Science 2025-08-29 Diogo Freitas , Brigt Håvardstun , Cèsar Ferri , Darío Garigliotti , Jan Arne Telle , José Hernández-Orallo

In this paper, we investigate the problem of how to effectively master tool-use to solve complex visual reasoning tasks for Multimodal Large Language Models. To achieve that, we propose a novel Tool-supervised Reinforcement Learning…

Computer Vision and Pattern Recognition · Computer Science 2026-04-23 Qihua Dong , Gozde Sahin , Pei Wang , Zhaowei Cai , Robik Shrestha , Hao Yang , Davide Modolo

This article explores the constraints of perception and cognition in relativistic physics. Describing reality as a cognitive representation of our sensory inputs, the article shows how the limitations in perception translate to the…

General Physics · Physics 2007-05-23 Manoj Thulasidas

The development of a workshop using the language, techniques, and processes of visual art to introduce particle physics concepts is described. Innovative delivery methods committed to the interaction and collaboration of different…

Physics Education · Physics 2018-08-01 I. Andrews , K. Nikolopoulos
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