Simple Relativity Approach to Special Relativity: https://arxiv.org/abs/2002.12118
The development of both special and general relativity is accomplished in a series of 6 papers using a simple approach. The purpose is to explain the how and why of relativity to a broad public, and to be useful for students of physics by providing alternate ways to develop and view relativistic phenomena. In this first paper, the rules for special relativity are developed to explain velocity-related time dilation and length contraction, and the interchangeable nature of mass and energy. In subsequent papers, conservation of energy is applied to show how gravity affects time speed, fall velocities, and length measurements, the effect known as the Shapiro Time Delay, the precession of satellites and planets, gravitational lensing, the appearance of Lorentz contraction and a simple resolution of the Ehrenfest paradox.
Comments: 9 pages, 5 figures
И/ до кучи, еще что-то как бы популярное, но хоть ссылками ценно:
The Platonic solids and fundamental tests of quantum mechanics: https://arxiv.org/abs/2001.00188
The Platonic solids is the name traditionally given to the five regular convex polyhedra, namely the tetradron, the octahedron, the cube, the icosahedron and the dodecahedron. Perhaps strongly boosted by the towering historical influence of their namesake, these beautiful solids have, in well over two millenia, transcended traditional boundaries and entered the stage in a range of disciplines. Examples include natural philosophy and mathematics from classical antiquity, scientific modeling during the days of the european scientific revolution and visual arts ranging from the renaissance to modernity. Motivated by mathematical beauty and a rich history, we consider the Platonic solids in the context of modern quantum mechanics. Specifically, we construct Bell inequalities whose maximal violations are achieved with measurements pointing to the vertices of the Platonic solids. These Platonic Bell inequalities are constructed only by inspecting the visible symmetries of the Platonic solids. We also construct Bell inequalities for more general polyhedra and find a Bell inequality that is more robust to noise than the celebrated Clauser-Horne-Shimony-Holt Bell inequality. Finally, we elaborate on the tension between mathematical beauty, which was our initial motivation, and experimental friendliness, which is necessary in all empirical sciences.