Thought experiments are widely used in the informal explanation of Relativity Theories; however, they are not present explicitly in formalized versions of Relativity Theory. In this paper, we present an axiom system of Special Relativity which is able to grasp thought experiments formally and explicitly. Moreover, using these thought experiments, we can provide an explicit definition of relativ...

spin-statistics relation, Pauli exclusion principle Our earlier arguments (Berry, M.V. & Robbins, J.M. 1997. Proc Roy. Soc. Lond. A453 1771-1790) leading to the spin-statistics relation are summarized and then revisited. Correcting a minor logical error in the double application of exchange reinforces the parallel transport requirement for the basis incorporating spin exchange. There are certai...

We show how conformal relativity is related to Brans–Dicke theory and to low-energy-effective superstring theory. Conformal relativity or the Hoyle–Narlikar theory is invariant with respect to conformal transformations of the metric. We show that the conformal relativity action is equivalent to the transformed Brans–Dicke action for ω = −3/2 (which is the border between standard scalar field an...

The formation of large scale structure in the universe is a central element of astrophysics. Apart from the structure itself, it also offers a incisive tool for probing cosmology and particle physics. Since structure formation is a competition between expansion and gravity, the growth as a function of redshift is intimately tied to the expansion of the universe. Studies of matter density fluctu...

Using the fractal space-time theory (scale relativity theory), the dynamics of the fluid/nano-particle interface was analyzed. In the general case, the heat transfer through the interface reproduces a d.c. or an a.c. Josephson effects of thermal type, while in the linear approximation, the standard form of heat transfer is given. Consequently, a negative differential thermal conductance appears...

We are interested in the homogenization of elastic-electric coupling equation, with rapidly oscillating coefficients, in periodically perforated piezoelectric body. We justify the two first terms in the usual asymptotic development of the problem solution. For the main convergence results of this paper, we use the notion of two-scale convergence. A two-scale homogenized system is obtained as th...

A previous paper demonstrated that spacetime transformations consistent with the principle of relativity can be derived without assuming explicitly the constancy of the speed of light. Here we correct an error in the earlier paper while showing that this derivation can be done under weaker assumptions, in particular, without an implicit assumption of differentiability or even continuity for the...

When Albert Einstein first presented his theory of the electrodynamics of moving bodies (1905), he began by explaining how his kinematic assumptions led to a certain coordinate transformation, soon to be known as the “Lorentz” transformation. Along the way, the young Einstein affirmed the form-invariance of the equation of a spherical light-wave (or light-sphere covariance, for short) with resp...

Speakers need to use a variety of referring expressions (REs) (e.g. full noun phrases, pronouns or null forms) in pragmatically appropriate ways to produce coherent narratives. Languages, however, differ from each other in terms of a) whether REs as arguments can be dropped or not and b) whether personal pronouns encode gender or not. Here we examine two languages that differ from each other in...