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The initial techniques developed in Euclid's Elements, well before the use of the parallel postulate, are reexamined in order to clarify even the most obscure details, particularly those related to equality, superposition and angle…

Metric Geometry · Mathematics 2025-02-04 Peter M Johnson

This is an informal introduction to the ideas of decoherence and emergent classicality, including a simple account of the decoherent histories approach to quantum theory. It is aimed at undergraduates with a basic appreciation of quantum…

Quantum Physics · Physics 2009-11-11 J. J. Halliwell

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

We re-evaluate the great Leibniz-Newton calculus debate, exactly three hundred years after it culminated, in 1712. We reflect upon the concept of invention, and to what extent there were indeed two independent inventors of this new…

History and Overview · Mathematics 2012-12-13 Nicholas Kollerstrom

The feud between Robert Hooke and Isaac Newton has remained ongoing even after 300 years, over whether Newton should have acknowledged Hooke's influence on his graphical method of constructing planet orbits, the celebrated Proposition 1,…

History and Philosophy of Physics · Physics 2021-06-15 Siu A. Chin

The quest for historically impactful science and technology provides invaluable insight into the innovation dynamics of human society, yet many studies are limited to qualitative and small-scale approaches. Here, we investigate scientific…

Physics and Society · Physics 2015-02-19 Jinhyuk Yun , Pan-Jun Kim , Hawoong Jeong

Finding roots of equations is at the heart of most computational science. A well-known and widely used iterative algorithm is the Newton's method. However, its convergence depends heavily on the initial guess, with poor choices often…

Numerical Analysis · Mathematics 2020-04-09 Ankush Aggarwal , Sanjay Pant

Newtonian gravity can be regarded as a hypothetic-deductive system where the inverse square law is the starting point from which gravitational phenomena are deduced. This operational form of presenting gravity endorses problem solving and…

History and Philosophy of Physics · Physics 2019-06-12 Joao A M Pereira

I show how Hamilton's philosophical commitments led him to a causal interpretation of classical mechanics. I argue that Hamilton's metaphysics of causation was injected into his dynamics by way of a causal interpretation of force. I then…

History and Philosophy of Physics · Physics 2020-11-25 Christopher Gregory Weaver

This article is a short review on the concept of information. We show the strong relation between Information Theory and Physics, and the differences between classical and quantum information, with emphasis in their manipulation through…

Physics Education · Physics 2007-05-23 F. L. Marquezino , R. R. Mello Junior

This thesis will be focused on the classical capacity of quantum channels, one of the first areas treated by quantum information theorists. The problem is fairly solved since some years. Nevertheless, this work will give me a reason to…

Quantum Physics · Physics 2016-09-08 David A. Herrera-Martí

Classical linear wave superposition produces the appearance of interference. This observation can be interpreted in two equivalent ways: one can assume that interference is an illusion because input components remain unperturbed, or that…

Quantum Physics · Physics 2013-07-17 Ghenadie N. Mardari , James A. Greenwood

A goal of physics is to understand the greatest possible breadth of natural phenomena in terms of the most economical set of basic concepts. However, as the understanding of physics has developed historically, its pedagogy and language have…

General Physics · Physics 2020-10-21 B. C. Regan

Some attack scientific rationality, others defend it, but both miss the point. What both parties take to be scientific rationality is actually a species of irrationality masquerading as scientific rationality. The current orthodox…

History and Philosophy of Physics · Physics 2020-01-29 Nicholas Maxwell

``No one has ever touched Zeno without refuting him''. We will not refute Zeno in this paper. Instead we review some unexpected encounters of Zeno with modern science. The paper begins with a brief biography of Zeno of Elea followed by his…

Popular Physics · Physics 2011-08-04 Z. K. Silagadze

Throughout history, a relatively small number of individuals have made a profound and lasting impact on science and society. Despite long-standing, multi-disciplinary interests in understanding careers of elite scientists, there have been…

Digital Libraries · Computer Science 2020-05-26 Jichao Li , Yian Yin , Santo Fortunato , Dashun Wang

A simple method to enhance the quality of communication is to send a carrier with its copies. Classical information theory says that information behaves quantitatively under copying. In other words, if a carrier is more informatic than…

Quantum Physics · Physics 2020-09-04 Jisho Miyazaki

The aim of this paper is i) to argue for the feasibility and fruitfulness of a balance between the phenomenological method seeking intuitive evidence and the axiomatic-deductive method and ii) that there should be a mutual understanding…

History and Overview · Mathematics 2024-10-29 Clarence Protin

From a general abstract system theoretical perspective, a quantum-like system description in the spirit of a generalized Quantum Theory may appear to be simpler and more natural than a classically inspired description. We investigate the…

Quantum Physics · Physics 2015-03-25 Hartmann Römer

More than a speculative technology, quantum computing seems to challenge our most basic intuitions about how the physical world should behave. In this thesis I show that, while some intuitions from classical computer science must be…

Quantum Physics · Physics 2007-05-23 Scott Aaronson
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