dorsal/arxiv
View SchemaThe system with discrete interactions I: Some comments about the principles of quantum theory
| Authors | M Yudin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0202082 |
| URL | https://arxiv.org/abs/quant-ph/0202082 |
Abstract
The model of the physical system with discrete interactions is based on the postulates that (i) parameters of the physical system are defined in process of its interaction; (ii) the process of interaction is discrete. Consequently ordering of the events in the system is not automatically implied based on the values of time, but must be specified explicitly. This suggests the specific logic of events as well as complex character of the function, which describes stochastic behavior of the system, hence the parameters of the system are defined by Hermitian operators in the Hilbert space of functions. The model gives an essential way to introduce the basic notions and obtain the results of the quantum theory, to derive the meaning of the main physical parameters, such as momentum or electric charge. Based on the proposed postulates, Schrodinger equation for the particle is deduced in a way similar to inferring of Smoluchowski equation in the classical statistical mechanics. Similarly, the equations of motion of linear fields are established by considering Smoluchowski-type equations for amplitudes of harmonics. The concept of discrete interaction gives a way to de-couple the object of experiment and a testing device (the traditional source of controversy in quantum theory), though at expense of limitation of the principle of locality.
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"abstract": "The model of the physical system with discrete interactions is based on the\npostulates that\n (i) parameters of the physical system are defined in process of its\ninteraction;\n (ii) the process of interaction is discrete.\n Consequently ordering of the events in the system is not automatically\nimplied based on the values of time, but must be specified explicitly. This\nsuggests the specific logic of events as well as complex character of the\nfunction, which describes stochastic behavior of the system, hence the\nparameters of the system are defined by Hermitian operators in the Hilbert\nspace of functions.\n The model gives an essential way to introduce the basic notions and obtain\nthe results of the quantum theory, to derive the meaning of the main physical\nparameters, such as momentum or electric charge. Based on the proposed\npostulates, Schrodinger equation for the particle is deduced in a way similar\nto inferring of Smoluchowski equation in the classical statistical mechanics.\n Similarly, the equations of motion of linear fields are established by\nconsidering Smoluchowski-type equations for amplitudes of harmonics.\n The concept of discrete interaction gives a way to de-couple the object of\nexperiment and a testing device (the traditional source of controversy in\nquantum theory), though at expense of limitation of the principle of locality.",
"arxiv_id": "quant-ph/0202082",
"authors": [
"M Yudin"
],
"categories": [
"quant-ph"
],
"title": "The system with discrete interactions I: Some comments about the principles of quantum theory",
"url": "https://arxiv.org/abs/quant-ph/0202082"
},
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