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This is a prelude to a book which I intend to publish. This paper describes my temporary thoughts on Einstein's pathway to the special theory of relativity. See my papers on my thoughts on Einstein's pathway to his general theory of…

History and Philosophy of Physics · Physics 2012-04-10 Galina Weinstein

We study the pages in Albert Einstein's 1916 landmark paper in the Annalen der Physik where he derived his field equations for gravity. Einstein made two heuristic and physically insightful steps. The first was to obtain the field equations…

History and Philosophy of Physics · Physics 2016-08-23 Sam Walters

In the first part of this paper I review some of the difficulties that seem to obstruct generally valid definitions of "general covariance" and/or "background independence" The second and more historical part deals with a rather strange…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Domenico Giulini

This article offers a critical engagement with J\"urgen Renn's historiographical approach, with particular focus on "The Evolution of Knowledge" and "The Einsteinian Revolution" (co-authored with Hanoch Gutfreund). It explores how Renn…

History and Philosophy of Physics · Physics 2025-05-07 Galina Weinstein

The main purpose of the present paper is to show that a correction of one mistake was crucial for Einstein's pathway to the first version of the 1915 general theory of relativity, but also might have played a role in obtaining the final…

History and Philosophy of Physics · Physics 2013-10-11 Galina Weinstein

With the advent of Open Science, researchers have started to publish their research artefacts (i. e., data, software, and other products of the investigations) in order to allow others to reproduce their investigations. While this…

Digital Libraries · Computer Science 2019-05-02 Max Schröder , Frank Krüger , Sascha Spors

Einstein's first mention of the uniformly rotating disk in print was in 1912, in his paper dealing with the static gravitational fields. After the 1912 paper, the rotating disk problem occurred in Einstein's writings only in a 1916 review…

History and Philosophy of Physics · Physics 2015-04-23 Galina Weinstein

The Einstein Toolkit represents a unique opportunity for students to explore the world of numerical relativity, without the need for high-level computing power or knowledge of the mathematics behind the simulations themselves. This document…

General Relativity and Quantum Cosmology · Physics 2020-11-30 Nicholas Choustikov

Hilbert's paper on ``The Foundations of Physics (First Communication),'' is now primarily known for its parallel publication of essentially the same gravitational field equations of general relativity which Einstein published in a note on…

History and Philosophy of Physics · Physics 2007-05-23 Tilman Sauer

Solving Einstein's equations precisely for strong-field gravitational systems is essential to determining the full physics content of gravitational wave detections. Without these solutions it is not possible to infer precise values for…

General Relativity and Quantum Cosmology · Physics 2019-09-04 Robert A. Eisenstein

Combining deeper insight of Einstein's equations with sophisticated numerical techniques promises the ability to construct accurate numerical implementations of these equations. We illustrate this in two examples, the numerical evolution of…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Dave Neilsen , Luis Lehner , Olivier Sarbach , Manuel Tiglio

The objective of this paper is not simply to present an historical overview of Einstein's cosmological considerations, but to discuss the central role they played in shaping the paradigm of relativistic cosmology. This, we'll show, was a…

History and Philosophy of Physics · Physics 2014-02-14 Daryl Janzen

In his 1916 ground-breaking general relativity paper Einstein had imposed a restrictive coordinate condition, his field equations were valid for coordinate systems which are unimodular. Later, Einstein published a paper on gravitational…

History and Philosophy of Physics · Physics 2016-02-15 Galina Weinstein

Starting with Einstein's famous papers of 1905, we review some of the ensuing developments and their impact on present-day physics. We attempt to cover topics that are of interest to historians and philosophers of science as well as to…

History and Philosophy of Physics · Physics 2007-05-23 Domenico Giulini , Norbert Straumann

A historical account of Einstein's 'Fernparallelismus' approach towards a unified field theory of gravitation and electromagnetism is given. In this theory, a space-time characterized by a curvature-free connection in conjunction with a…

History and Philosophy of Physics · Physics 2007-05-23 Tilman Sauer

This paper provides an algebraic reconstruction of Einstein's own argument for the incompleteness of quantum mechanics -- the one that he thought did not make it into the EPR paper -- in order to clarify the assumptions that underlie an…

Quantum Physics · Physics 2023-04-19 Iulian D. Toader

This paper gives a detailed pedagogic presentation of the central concepts underlying a new algorithm for the numerical solution of Einstein's equations for gravitation. This approach incorporates the best features of the two leading…

General Relativity and Quantum Cosmology · Physics 2007-05-23 N. Bishop , R. Isaacson , R. Gomez , L. Lehner , B. Szilagyi , J. Winicour

Background: As traditional coding tasks in education become increasingly vulnerable to the use of Generative AI, there is a critical need for authentic, project-based assessments that evaluate students' scientific inquiry. To address this…

Physics Education · Physics 2026-05-11 Sean Savage , Amir Bralin , Paul Hur , N. Sanjay Rebello

We recently reported the discovery of an unpublished manuscript by Albert Einstein in which he attempted a 'steady-state' model of the universe, i.e., a cosmic model in which the expanding universe remains essentially unchanged due to a…

History and Philosophy of Physics · Physics 2015-06-05 Cormac O'Raifeartaigh , Simon Mitton

This paper presents correspondence between Albert Einstein and the mathematical analyst J. L. B. Cooper on the Einstein-Podolsky-Rosen (EPR) paradox of quantum theory published in 1935. Two letters written by Cooper, and the replies from…

History and Philosophy of Physics · Physics 2025-07-17 P. L. Butzer , D. E. Edmunds , G. Roepstorff , G. Schmeisser , R. L. Stens