Modeling of localization and motion of a free particle

Abstract

In modern physical theories, when modeling fundamental structures of reality, the relational concept of space and time is not sufficiently taken into account. In modern physical theories, the relational concept of space and time is not sufficiently taken into account when modeling fundamental structures of reality. A priori, the concepts of space and time are introduced, which leads to contradiction. The purpose of the present work is to simulate the localization and motion of a free particle taking into account the relational concept of space and time. When modeling the localization and motion of a free particle, it is shown that the use of the superposition principle, namely, the overlay of subsystems, allows you to take into account the relational concept of space and time. For this, Minkowski space is generalized. State space is introduced - homogeneous space of possible subsystems. From the overlay of these subsystems, Minkowsky space is manifested, taking into account the presence of particles. It is shown that homogeneity and isotropy of space and homogeneity of time follow from homogeneity of space of possible subsystems. For the particle, a non-swinging de Broglie wave packet is obtained.