There is a vast literature showing the connection between deformed relativistic kinematics and curved momentum space, and, in particular, how former can be obtained from geometrical properties of latter. However, there not any mention about geometry multi-particle system making manifest possible modification metric one particle due to presence others. In this work we explore depending on partic...

The use of the geometry Lobachevsky momentum space in relativistic kinematics particle collisions is demonstrated by example problem a special reference system. That system complements geometric image process elastic scattering two particles unequal masses. speed relative to center mass and angle it are determined. conditions for existence such analyzed. It shown that case with equal masses, po...

as a robot could be stable statically standing on three or more legs, a six legged walking robot can be highly flexible in movements and perform different missions without dealing with serious kinematic and dynamic problems. an experimental six legged walking robot with 18 degrees of freedom is studied and built in this paper. the kinematic and gait analysis formulations are demonstrated by an e...

This paper presents a novel ankle rehabilitation (2-CRS+PU)&R hybrid mechanism, which can meet the size requirements of different adult lower limbs based on three-movement model ankle. is related to three types movement modes movement, without axis offset, cover joint movements. The inverse and forward position/kinematics results analysis mechanism established closed-loop vector method usin...

In robot-assisted manufacturing or assembly, following a predefined path became critical aspect. general, inverse kinematics offers the solution to control movement of manipulator while trajectory. The main problem with approach is that are computationally complex. For redundant manipulator, this complexity further increased. Instead employing kinematics, can be reduced by using heuristic algor...

Doubly special relativity considers a deformation of the relativistic kinematics parametrized by high-energy scale, in such way that it preserves principle. When this is assumed to be applied any interaction between particles, one faces some inconsistencies. In order avoid them, we propose new perspective where affects only interactions elementary particles. A consequence proposal cannot modify...

The emission of complex particles at intermediate energies has been characterized through the reverse-kinematics reactions 25and 30-MeV/u 9'Nb+ Be, 'Al. Complex particles observed in binary decays from very hot incomplete-fusion intermediates are shown to originate from compound-nucleus decay, by means of kinetic energies, angular distributions, and absolute yields. The process of complex-parti...

It has been shown recently that the amplitude of the creation of n real scalar particles by one virtual boson near n–particle threshold exhibits exponential behavior at n ∼ 1/λ. We extend this result to the processes of multiparticle production at threshold by two virtual bosons. We find that both the tree–level amplitude and leading–n loop corrections have the same exponential behavior, with t...

We present a new derivation of the expressions for momentum and energy of a relativistic particle. Contrary to the procedures commonly adopted in textbooks, the one suggested here requires only the knowledge of the composition law for velocities along one spatial dimension and does not make use of the concept of relativistic mass. The basic ideas are very general and can be applied also to kine...

It is argued that Einstein’s theory of relativity does not provide a new definition of time, and that it does not reject Newton’s absolute time. The time dilation effect observed in the lifetime of a relativistically moving unstable particle is termed a paradox because of the equality of two times, based on kinematics and irreversible decay processes. Proposals based on a new definition of iner...