Generalization of Minkowski space

When modeling physical objects, the material point model is chosen as the main element. However, in the study of the fundamental structures of reality, the application of the classical model of the material point is inappropriate. Because, in the classical model of a material point, the concept of space independent of it is introduced a priori, which leads to a contradiction with the relational concept of space and time. It should be noted also the contradiction that occurs when trying to determine the "brick" of the universe in the form of a tiny particle with the concept of quantum non-locality. Experimental studies to verify Bell's inequality proved that quantum nonlocality takes place in the fundamental structure of reality. This means that each particle has some mysterious connection with the environment. Therefore, Minkowski space requires a generalization taking into account the presence of matter. This paper generalizes the Minkowski space. The state space is introduced - a homogeneous space of possible subsystems. From the superposition of these subsystems, the Minkowski space appears, taking into account the presence of particles. Using the modeling of localization and motion of a free particle as an example, it is shown that the uniformity and isotropy of space, the uniformity of time, follow from the homogeneity of the space of possible subsystems. In this case, a homogeneous space appears when superimposing subsystems of a homogeneous state space. Isotropic space appears when superimposing subsystems at certain angles. During successive transitions from one subsystem to another, homogeneous time is induced inside the subsystem. As a result of overlapping subsystems and the above transitions, the particle is also localized in Minkowski space. Heisenberg's uncertainty principle is explained. An original definition of the particle spin concept is proposed. The symmetries of space and time are directly related to the parameters of the particle, namely, with momentum, spin and energy. The conservation of these quantities determines the symmetry properties of Minkowski space. If we consider a more complex system, for example, of many particles, then it is in an entangled state. In this case, the task is much more complicated, but for this system you can also introduce the wave function. Therefore, the proposed approach allows us to say that the imposition of possible subsystems and self-consistent transitions from one possible subsystem to another can localize objects of our space, similar to decoherence.

nonlocality, entangled states, quantum theory, wave function, de Broglie wave, superposition, Minkowski space, homogeneity, isotropy, momentum, energy, spin

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