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The special theory of relativity is constructed demanding the retention of the rectilinear form of a trajectory and invariance of the wave equation under linear transformations of space and time coordinates. The usual approach to relativity…

综合物理 · 物理学 2008-11-20 Valery P. Dmitriyev

There is strong and diverse evidence for mental rotation (MR) abilities in adults. However, current evidence for MR in children rests on just a few behavioral paradigms adapted from the adult literature. Here, we leverage recent…

神经元与认知 · 定量生物学 2025-12-23 Arthur Aubret , Jochen Triesch

A novel imaging principle based on the interaction of electromagnetic waves with a beam of relativistic electrons is proposed. Wave-particle interaction is assumed to take place in a small spatial domain, so that each electron is only…

经典物理 · 物理学 2009-11-10 Neil Budko

The special theory of relativity has fundamentally changed our views of space and time. The relativity of simultaneity in particular, and the theory of relativity as a whole, still presents significant difficulty for beginners in the…

经典物理 · 物理学 2022-10-27 Abdaljalel Alizzi , Abhijit Sen , Zurab K. Silagadze

Formulae relating one and the same force in two inertial frames of reference are derived directly from the Lorentz transformation of space and time coordinates and relativistic equation for the dynamic law of motion in three dimensions. We…

物理教育 · 物理学 2007-05-23 Valery P. Dmitriyev

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…

广义相对论与量子宇宙学 · 物理学 2009-11-11 K. K. Nandi , N. G. Migranov , J. C. Evans , M. K. Amedeker

Relative motion of particles is examined in the context of relational space-time. It is shown that de Broglie waves may be derived as a representation of the coordinate maps between the rest-frames of these particles. Energy and momentum…

综合物理 · 物理学 2024-08-30 Tony Lyons

The conventional discussion of apparent distortions of space and time in Special Relativity (the Lorentz-Fitzgerald Contraction and Time Dilatation) is extended by considering observations of : (i) moving objects of limited lifetime in…

科普物理 · 物理学 2009-10-01 J. H. Field

The relativistic jerk, snap and all higher-order kinematical D-vectors are defined for the motion of a massive particle in a D-dimensional Minkowski spacetime. We illustrate the formalism with stationary motions, for which we provide a new,…

高能物理 - 理论 · 物理学 2015-05-13 Jorge G. Russo , Paul K. Townsend

It is shown that the force in relativistic mechanics is not only the cause of acceleration of particle relative to an inertial frame of reference, but also the cause of change of the course of time along the particle's trajectory. Therein…

综合物理 · 物理学 2007-05-23 V. P. Oleinik

We present a world-line effective field theory of compact objects moving relativistically through a viscous fluid. The theory is valid when velocity gradients are small compared to the inverse size of the object. Working within the EFT…

广义相对论与量子宇宙学 · 物理学 2024-12-10 Beka Modrekiladze , Ira Z. Rothstein , Jordan Wilson-Gerow

The Lorentz Transformations are derived without any linearity assumptions and without assuming that y and z coordinates transform in a Galilean manner. Status of the invariance of the speed of light is reduced from a foundation of the…

综合物理 · 物理学 2007-05-23 Rostislav Polishchuk

A new approach in the Newtonian space and time, based upon the assumption that inertial mass is the quantitative measure of the matter. It has been shown that in case of a special physical system, a supposed matter transfer may reproduce…

综合物理 · 物理学 2013-08-13 P. Doleschall

A reference frame consists of: a reference space, a time scale and a spatial metric. The geometric structure induced by these objects in spacetime is developed. The existence of a class of spatial metrics that are rigid, have free mobility…

广义相对论与量子宇宙学 · 物理学 2008-11-26 J. Llosa , D. Soler

Gravity is one of the fundamental forces of Nature, and it is the dominant force in most astronomical systems. In common with all other phenomena, gravity must obey the principles of special relativity. In particular, gravitational forces…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Bernard F Schutz

Starting with two light clocks to derive time dilation expression, as many textbooks do, and then adding a third one, we work on relativistic spacetime coordinates relations for some simple events as emission, reflection and return of light…

综合物理 · 物理学 2007-05-23 Nilton Penha , Bernhard Rothenstein

The interaction of light with objects and media moving at relativistic and superluminal speeds enables unconventional phenomena such as Fresnel drag, Hawking radiation, and light amplification. Synthetic motion, facilitated by modulated…

Relative motions have long been known to mislead the unsuspecting observers to false interpretations of reality. The deceptions are usually brief and unimportant, though relative motions have also led to illusions that were both…

广义相对论与量子宇宙学 · 物理学 2025-01-10 Christos G. Tsagas

We consider elastic bodies in rigid rotation, both nonrelativistically and in special relativity. Assuming a body to be in its natural state in the absence of rotation, we prove the existence of solutions to the elastic field equations for…

广义相对论与量子宇宙学 · 物理学 2009-11-10 R. Beig , B. G. Schmidt

We advance an universal approach to the construction of kinematics in non-inertial and, in particular, rotating reference frames. On its basis a 10-dimensional space including three projections of velocity vector and three turn angles in…

综合物理 · 物理学 2007-05-23 A. A. Ketsaris