2 Special relativity 4 2.1 Motivation for special relativistic kinematics in place of Newtonian kinematics . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.2 Language . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 2.3 Axiomatization Specrel of special relativity in first-order logic 15 2.4 Characteristic differences between Newtonian and special relativistic kinematics . . . ...

In the diffusion-limited reaction process A+B → ∅ on random scale-free networks, particle density decays as ρ(t) ∼ t−α when ρA(0) = ρB(0), where α > 1 for the degree exponent 2 < γ < 3 and α = 1 for γ ≤ 3. We investigate the reaction on fractal scale-free networks numerically, finding ρ(t) decays slowly with the exponent α ≈ ds/4 < 1, where ds is the spectral dimension of the network.

The gravitational interaction is scale-free in both Newtonian gravity and general theory of relativity. The concept of self-similarity arises from this nature. Self-similar solutions reproduce themselves as the scale changes. This property results in great simplification of the governing partial differential equations. In addition, some self-similar solutions can describe the asymptotic behavio...

one of the most controversial problems in western epistemology is the division of propositions into analytic and synthetic. this division drew the attention of many proponents and opponents and faced many objections. one the most important objections which if valid enough, can destroy the basis of this division and resulting epistemological consequences is the of relativity of both analytic as ...

physics is concerned with the development and analysis of conceptual models of physics and explores the consequences of theory. The goals of courses on an abstract physics topic are to excite students about the subject area, provide a rationale for the relevant models, and develop abstract thinking abilities. However, many students undertake a surface learning approach and focus on manipulating...

The main purpose of this paper is to show the application of mathematical system of quaternions in physics. We show a basic way of generating a quaternion operator and a method of obtaining the Schrodinger’s equation using this operator matrix. Then we investigate the various probable uses of the coefficient matrix to scale relativity and spacetime quantization.