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We conjecture that the random walk and the corresponding diffusion in the relativistic velocity space is an adequate method for describing the acceleration process in relativistic jets. Considering a simple toy model, the main features of…

Astrophysics of Galaxies · Physics 2021-02-16 Abhijit Sen , Z. K. Silagadze

We study the stochastic motion of active particles that undergo spontaneous transitions between two distinct modes of motion. Each mode is characterized by a velocity distribution and an arbitrary (anti-)persistence. We present an…

Statistical Mechanics · Physics 2023-07-07 M. Reza Shaebani , Heiko Rieger , Zeinab Sadjadi

In teaching the physical sciences, a significant challenge lies in the student's tendency to consider the scientific world and the "real" world as separate. For example, Newton's 1st Law of Motion states that an object in motion remains in…

Physics Education · Physics 2007-06-20 Richard P. Barber , David J. Popalisky , Rose Hacking , Kristina Chiapella

Learning generic representations with deep networks requires massive training samples and significant computer resources. To learn a new specific task, an important issue is to transfer the generic teacher's representation to a student…

Machine Learning · Computer Science 2021-03-01 Xuhong Li , Yves Grandvalet , Rémi Flamary , Nicolas Courty , Dejing Dou

Some recent experiments, performed at Berkeley, Cologne, Florence and Vienna led to the claim that something seems to travel with a speed larger than the speed c of light in vacuum. Various other experimental results seem to point in the…

Classical Physics · Physics 2010-02-01 Erasmo Recami

Inspired by the question of whether one can create a visually informative map in which distances reflect travel-times rather than physical proximity, we examine whether it is possible to construct a meaningful travel time function between…

Metric Geometry · Mathematics 2015-07-03 Kenneth Halpern

There is evidence that flying animals such as pigeons, goshawks, and bats use optical flow sensing to enable high-speed flight through forest clutter. This paper discusses the elements of a theory of controlled flight through obstacle…

Systems and Control · Computer Science 2012-03-14 Kenneth Sebesta , John Baillieul

We present simple models of trajectories in space, both in 2D and in 3D. The first examples, which model bicircular moves in the same direction, are classical curves (epicycloids, etc.). Then, we explore bicircular moves in reverse…

Computational Geometry · Computer Science 2024-01-25 Thierry Dana-Picard , Matias Tejera , Eva Ulbrich

Given a network of $N$ static nodes in $D$-dimensional space and the pairwise distances between them, the challenge of estimating the coordinates of the nodes is a well-studied problem. However, for numerous application domains, the nodes…

Signal Processing · Electrical Eng. & Systems 2022-03-08 Anurodh Mishra , Raj Thilak Rajan

We have constructed a lattice Wigner-Weyl code that generalizes the Buot-Jensen algorithm to the calculation of electron transport in two-dimensional circular-cylindrically symmetric structures, where the Wigner function equation is solved…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Greg Recine , Bernard Rosen , Hong-Liang Cui

Understanding a neural code requires knowledge both of the elementary symbols that transmit information and of the algorithm for translating these symbols into sensory signals or motor actions. We show that these questions can be separated:…

Biological Physics · Physics 2007-05-23 N. Brenner , S. P. Strong , R. Koberle , W. Bialek , R. de Ruyter van Steveninck

Quantum teleportation is an important ingredient in distributed quantum networks, and can also serve as an elementary operation in quantum computers. Teleportation was first demonstrated as a transfer of a quantum state of light onto…

We consider problems in which robots conspire to present a view of the world that differs from reality. The inquiry is motivated by the problem of validating robot behavior physically despite there being a discrepancy between the robots we…

Robotics · Computer Science 2019-09-10 Dylan A. Shell , Jason M. O'Kane

We attempt to see how closely we can formally obtain the planetary and light path equations of General Relativity by employing certain operations on the familiar Newtonian equation. This article is intended neither as an alternative to nor…

General Relativity and Quantum Cosmology · Physics 2009-11-11 K. K. Nandi , N. G. Migranov , J. C. Evans , M. K. Amedeker

Robot multimodal locomotion encompasses the ability to transition between walking and flying, representing a significant challenge in robotics. This work presents an approach that enables automatic smooth transitions between legged and…

(Talk presented at the 7th Marcel Grossmann Meeting on General Relativity, Stanford, CA, July 24-30, 1994) We study the semi-classical limit of the solution of the Dirac equation in a background electromagnetic/gravitational plane wave. We…

High Energy Physics - Theory · Physics 2007-05-23 Stamatis Vokos

We present a study of student learning through the use of virtual reality. A software package is used to introduce concepts of special relativity to students in a game-like environment where users experience the effects of travelling at…

Physics Education · Physics 2015-05-14 D. McGrath , M. Wegener , T. J. McIntyre , C. M. Savage , M. Williamson

Humans typically walk at low speeds and run at higher speeds. Previous studies of transitions between walking and running were mostly on treadmills, but real-world locomotion allows more flexibility. Here, we study overground locomotion…

Neurons and Cognition · Quantitative Biology 2025-09-15 Nicholas S. Baker , Leroy Long , Manoj Srinivasan

In the literature, there have been several methods and definitions for working out if two theories are "equivalent" (essentially the same) or not. In this article, we do something subtler. We provide means to measure distances (and explore…

Logic · Mathematics 2020-08-12 Michèle Friend , Mohamed Khaled , Koen Lefever , Gergely Székely

We simplify the nonlinear equations of motion of charged particles in an external electromagnetic field that is the sum of a plane travelling wave F_t(ct-z) and a static part F_s(x,y,z): by adopting the light-like coordinate ct-z instead of…

Mathematical Physics · Physics 2018-01-30 Gaetano Fiore