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Starting from the well-known light-clock thought experiment to derive time dilation and length contraction, it is shown that finding the Lorentz Transformation requires nothing more than the most trivial vector addition formula. The form…

General Physics · Physics 2007-05-23 J. -M. Levy

The quantum-mechanical description of the world, including human observers, makes substantial use of entanglement. In order to understand this, we need to adopt concepts of truth, probability and time which are unfamiliar in modern…

Quantum Physics · Physics 2013-04-23 Anthony Sudbery

This Series of Articles provides a local resolution of this major longstanding foundational problem between QM and GR, or, more generally, between Background Dependent and Background Independent Physics. We focus on the classical version;…

General Relativity and Quantum Cosmology · Physics 2019-10-25 Edward Anderson

It has been reported that students often leave the introductory physics classroom believing that physics is less connected to the real world than when they entered. In this paper we aim to complicate that narrative by considering students'…

Physics Education · Physics 2018-08-31 Abhilash Nair , Paul Irving , Vashti Sawtelle

Introducing gravitational physics at high school provides educational means for bridging the gap between the image of science held by students and science itself. Natural language is fundamental in this learning. It engages students in…

Physics Education · Physics 2025-03-26 Matteo Tuveri , Viviana Fanti

All experimental evidence {indicates} that the vacuum is not void, but filled with something truly quantum. This is reflected by terms such as {zero-point} fluctuations, and Dirac's sea of virtual particle-antiparticle pairs, and last but…

Quantum Physics · Physics 2025-07-29 Gerd Leuchs , Luis L. Sanchez-Soto

I know better than to come between the experts here assembled and their research programs, so I confine these remarks to lessons to be drawn on the state of our subject from the histories of research in three Windows on the Universe:…

Cosmology and Nongalactic Astrophysics · Physics 2009-10-02 P. J. E. Peebles

We describe the pitfalls encountered in deducing from classical double radio source observables (luminosity, spectral index, redshift and linear size) the essential nature of how these objects evolve. We discuss the key role played by…

Astrophysics · Physics 2009-10-31 Katherine Blundell , Steve Rawlings , Chris Willott , Namir Kassim , Rick Perley

One of the fundamental problems of modern physics is how the classical world, the 2nd Law of Thermodynamics and the whole irreversibility emerges from the quantum reality with reversible evolution. This relates to the problem of measurement…

Quantum Physics · Physics 2017-04-19 Piotr Mironowicz , Jarosław Korbicz , Paweł Horodecki

In classical mechanics matter and fields are completely separated. Matter interacts with fields. For particle physicists this is not the case. Both matter and fields are represented by particles. Fundamental interactions are mediated by…

Popular Physics · Physics 2012-07-13 Giovanni Organtini

For a given triangle $\triangle ABC$, we define two sequences of points on line $BC$ and provide their generalizations to real functions such that centers of circumscribed circles around $A$ and adjacent points in subsequences generate a…

Algebraic Geometry · Mathematics 2021-10-08 Andrija Živadinović , Veljko Toljić

A simple quantum model describing the onset of time is presented. This is combined with a simple quantum model of the onset of space. A major purpose is to explore the interpretational issues which arise. The state vector is a superposition…

Quantum Physics · Physics 2015-06-11 Philip Pearle

This work is the second part of an investigation aiming at the study of optical wave equations from a field-theoretic point of view. Here, we study classical and quantum aspects of scalar fields satisfying the paraxial wave equation. First,…

Quantum Physics · Physics 2014-12-09 Andrea Aiello

This is a very basic introduction to some notions related to logic and complexity.

Logic · Mathematics 2007-05-23 Stephen Semmes

We will focus on the Quantum theory and starting from simple philosophical conjectures, we infer possible different physical realities. Also we argue of possible wavefunction emerging under specific conditions of the physical reality.…

General Physics · Physics 2007-05-23 Helen Lynn , Michele Caponigro

We discuss how developments in physics often imply in the need that spacetime acquires an increasingly richer and complex structure. General Relativity was the first theory to show us the way to connect space and time with the physical…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Orfeu Bertolami

We discuss how a class of difficult kinematic problems can play an important role in an introductory course in stimulating students' reasoning on more complex physical situations. The problems presented here have an elementary analysis once…

Physics Education · Physics 2009-10-31 Oscar Bolina

Learning physics requires understanding the applicability of fundamental principles in a variety of contexts that share deep features. One way to help students learn physics is via analogical reasoning. Students can be taught to make an…

Physics Education · Physics 2016-02-23 Shih-Yin Lin , Chandralekha Singh

We present a study of geometric phases in classical wave and polarisation optics using the basic mathematical framework of quantum mechanics. Important physical situations taken from scalar wave optics, pure polarisation optics, and the…

Optics · Physics 2015-06-18 N. Mukunda , S. Chaturvedi , R. Simon

The tree formula, which relates proper and connected vertices, is shown to be the solution to a Hamilton-Jacobi equation.

High Energy Physics - Lattice · Physics 2007-05-23 Christian Wieczerkowski