dorsal/arxiv
View SchemaThe system with discrete interactions II: Behavior of the relativistic particle in space and in time
| Authors | M. Yudin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0202083 |
| URL | https://arxiv.org/abs/quant-ph/0202083 |
Abstract
The principles of behavior of the system with discrete interactions are applied to description of motion of the relativistic particle. Applying the concept of non-local behavior both to position in space and to time, the apparently covariant equation of motion of the particle (Klein-Gordon) is defined. Based on the assumption that the form of the equation has to be invariant in inertial reference frames, the principle of constancy of the speed of light can be deduced. Consequently the basic statements of special relativity can be established in relation to the principles of discrete interaction. The condition that Klein-Gordon equation was established without explicit use of the principle of correspondence gives a way to specify the area of applicability of the statement about the speed of light as the maximal speed of propagation of information. This would permit interpretation of superluminal phenomena with no contradictions to special relativity. The conventional interpretation of time as a category which specifies succession and coexistence of events leads to interpreting of the Klein-Gordon and related equations (such as Maxwell or Dirac) as equations of the fields. This would justify the procedure of second quantization, so that the states of the field are identified with the sets of particles.
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"abstract": "The principles of behavior of the system with discrete interactions are\napplied to description of motion of the relativistic particle. Applying the\nconcept of non-local behavior both to position in space and to time, the\napparently covariant equation of motion of the particle (Klein-Gordon) is\ndefined. Based on the assumption that the form of the equation has to be\ninvariant in inertial reference frames, the principle of constancy of the speed\nof light can be deduced. Consequently the basic statements of special\nrelativity can be established in relation to the principles of discrete\ninteraction.\n The condition that Klein-Gordon equation was established without explicit use\nof the principle of correspondence gives a way to specify the area of\napplicability of the statement about the speed of light as the maximal speed of\npropagation of information. This would permit interpretation of superluminal\nphenomena with no contradictions to special relativity.\n The conventional interpretation of time as a category which specifies\nsuccession and coexistence of events leads to interpreting of the Klein-Gordon\nand related equations (such as Maxwell or Dirac) as equations of the fields.\nThis would justify the procedure of second quantization, so that the states of\nthe field are identified with the sets of particles.",
"arxiv_id": "quant-ph/0202083",
"authors": [
"M. Yudin"
],
"categories": [
"quant-ph"
],
"title": "The system with discrete interactions II: Behavior of the relativistic particle in space and in time",
"url": "https://arxiv.org/abs/quant-ph/0202083"
},
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