The Universal Mechanics


Moscow, the Russian Federation

On the basis of Berkeley-Mach-Poincare principle of relativity and in the assumption of absence of any specific (inertial) reference systems in empty space the new mechanics of bodies motion is constructed. This motion is determined only by the relative distances and velocities of bodies. It is shown that the mutual rotation of pair of particles related to almost immobile "distant stars" (galaxies) leads to centrifugal force origin.

Keywords: Gravitation; relativity; causality

The concept of absolute space (aether) has been introduced by Newton at build-up of a mechanics. This concept was undergone to criticism from outside Newton's many ontemporaries, in particular Berkeley2 who came to a conclusion about impossibility of existence of absolute space (aether) with its inertial reference systems, and also to understanding of that inertia should be caused by motion of bodies related to "distant stars". To a similar deduction later have come Mach and Poincare who have specified in necessity of creation of a relativistic mechanics, i.e. a mechanics of the relative motion of bodies.

The given problem has not been solved neither in special, nor in common theories of relativity which still operated with concepts of absolute space. Numerous attempts to construct the theory in which inertia of rotation would be caused by influence of remote galaxies ("far stars"), have appeared unsatisfactory. Thus, the problem of Berkeley-Mach-Poincare is not solved in existing physical theories. The theory named as a universal mechanics which initial principles essentially differ from usually used is stated below. It in particular concerns space-time properties of bodies motion.

At first, only relative motions of bodies are considered. Thus it is supposed that the space does not have any preferential (inertial) reference systems. Thereby the space is not considered as something absolute (aether) possessing to fix bodies motion. Secondly, the causality principle is used for description of interaction of bodies, i.e. it is supposed that action of one body on another, located on distance r, happens in time r/c, where c - velocity of propagation of interactions (velocity of light). Thus velocity of propagation of interaction is constant and does not depend on character of movements of bodies that also means a space relativity. Causal character of interaction leads to irreversibility of movements of bodies in time. There is also no equality of actions of bodies against each other as bodies act on each other in different moments of time and, accordingly, at different distances.

Use of a principle of least action has allowed to discover a Lagrangian for a pair of particles and, further, for system of interacting particles.

In a limit of small velocities of bodies in comparison with c it is shown that a mutual rotation of two particles related to massive, remote, slowly moving bodies (galaxies) leads to origin of a centrifugal force. Also the plane motion of pair of particles with onservations of the mechanical momentum and the velocity of a inertia centre is realized - i.e. we obtain the equations of Newtonian mechanics. These result is a consequence of assumption of an isotropy of space allocation of large remote bodies. Therewith three various requirements of an isotropy are required.


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