In this paper we describe an approach to differential topology and geometry rooted in supersymmetric quantum theory. We show how the basic concepts and notions of differential geometry emerge from concepts and notions of the quantum theory of non-relativistic particles with spin, and how the classification of different types of differential geometry follows the classification of supersymmetries...

We investigated students’ use of Newton’s second law in mechanics and electromagnetism contexts by interviewing students in a two-semester calculusbased physics course. We observed that students’ responses are consistent with three mental models, Newtonian, Aristotelian, and a hybrid model formed with elements of the first two models. These models appeared in mechanics contexts and were transfe...

Aspects of gauge theory, Hamiltonian mechanics and quantum mechanics arise naturally in the mathematics of a non-commutative framework for calculus and differential geometry. This paper consists in two sections. This first section sketches our results in this domain in general. The second section gives a derivation of a generalization of the Feynman-Dyson derivation of electromagnetism using ou...

Classically, a gauge potential was merely a convenient device for generating a corresponding gauge field. Quantum-mechanically, a gauge potential lays claim to independent status as a further feature of the physical situation. But whether this is a local or a global feature is not made any clearer by the variety of mathematical structures used to represent it. I argue that in the theory of elec...

Extended Ue(1) ×Ug(1) electromagnetism containing both a photon and a pseudophoton is introduced at variational level and is justified by the violation of the Bianchi identities in conceptual systems, either in the presence of magnetic monopoles or non-regular external fields, not being accounted by the standard Maxwell Lagrangian. It is carried a dimensional reduction that renders a Ue(1)×Ug(1...

Richard Feynman has claimed that anti-particles are nothing but particles ‘propagating backwards in time’; that time reversing a particle state always turns it into the corresponding anti-particle state. According to standard quantum field theory textbooks this is not so: time reversal does not turn particles into anti-particles. Feynman’s view is interesting because, in particular, it suggests...

This paper presents an efficient meta-heuristic algorithm based on electromagnetism-like method, which has been successfully implemented in multiuser detection problems. The contribution revisits blind multiuser detection for multicarrier code division multiple access systems using a novel combined adaptive step-size constant modulus algorithm (CMA) and electromagnetism-like method scheme. To w...

We discuss an article by Le Bellac and Lévy-Leblond in which they have identified two Galilean limits of electromagnetism (1973 Nuovo Cimento B 14 217–33). We use their results to point out some confusion in the literature, and in the teaching of special relativity and electromagnetism. For instance, it is not widely recognized that there exist two well-defined non-relativistic limits, so that ...

It is sometimes claimed that gravitomagnetism, measured by the LAGEOS satellites using the GRACE models [Ciufolini and Pavlis 2004], that might also be detected by refining the Gravity Probe B data analysis [Muhlfelder, Keiser and Turneaure 2007], has already been observed by Lunar Laser Ranging, LLR [Murphy, Nordtvedt and Turyshev 2007]. Here we show that there are two types of gravitomagnetic...