Relativistic dynamics without conservation laws

نویسندگان

  • B. Rothenstein
  • Ş. Popescu
چکیده

We show that relativistic dynamics can be approached without using conservation laws (conservation of momentum, of energy and of the centre of mass). Our approach avoids collisions that are not easy to teach without mnemonic aids. The derivations are based on the principle of relativity and on its direct consequence, the addition law of relativistic velocities.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Natura non facit saltus : An Uncommon Way to Relativistic Dynamics

The relativistic transformation equations for mass, momentum and energy are derived without using conservation laws but based on the idea that nature ensures a smooth transition from the physical properties of a tardyon to those of a photon.

متن کامل

A Kinetic Beam Scheme for Relativistic Gas Dynamics

used to describe the new local nonrelativistic Maxwellian distribution for each cell. The entire process is then reAn extension of the beam scheme of Sanders and Prendergast (Astrophys. J. 188, 489, 1974) for the Newtonian gas dynamics to peated for the next time step. The choice of the size of relativistic gas dynamics is presented. It is found that the relativistic the time step is dictacted ...

متن کامل

Relativistic impulse dynamics.

Classical electrodynamics has some annoying rough edges. The self-energy of charges is infinite without a cutoff. The calculation of relativistic trajectories is difficult because of retardation and an average radiation reaction term. By reconceptuallizing electrodynamics in terms of exchanges of impulses rather than describing it by forces and potentials, we eliminate these problems. A fully r...

متن کامل

Axiomatizing Relativistic Dynamics without Conservation Postulates

A part of relativistic dynamics (or mechanics) is axiomatized by simple and purely geometrical axioms formulated within first-order logic. A geometrical proof of the formula connecting relativistic and rest masses of bodies is presented, leading up to a geometric explanation of Einstein’s famous E = mc. The connection of our geometrical axioms and the usual axioms on the conservation of mass, m...

متن کامل

The comparison of two high-order semi-discrete central schemes for solving hyperbolic conservation laws

This work presents two high-order, semi-discrete, central-upwind schemes for computing approximate solutions of 1D systems of conservation laws. We propose a central weighted essentially non-oscillatory (CWENO) reconstruction, also we apply a fourth-order reconstruction proposed by Peer et al., and afterwards, we combine these reconstructions with a semi-discrete central-upwind numerical flux ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2007