dorsal/arxiv
View SchemaOn Stability of Physics Systems
| Authors | V. V. Lyahov, V. M. Nechshadim |
|---|---|
| Categories | |
| ArXiv ID | physics/0111052 |
| URL | https://arxiv.org/abs/physics/0111052 |
Abstract
Within the framework of the hypothesis offered by authors about a complex-valued nature of physical quantities the stability of basic equations of the classical physics concerning complex-valued perturbations of parameters and boundary conditions is explored. The conducted examination of nonlinear equations and, what is more important, of linear differential equations shows violation in some cases of the continuous dependence of the solution on the change of imaginary parts of parameters and boundary conditions in the neighborhood of zero. In other words, it was revealed that a small imaginary part may drive the real solution. It may be concluded that a small imaginary part, even if unobservable, is still an inherent characteristic of a physical quantity, being yet something like a hidden parameter, and manifests itself only indirectly forcing the system to move in this or that direction, which may be taken as a basis for experimental testing of the put forward hypothesis about a complex-valued nature of physical quantities.
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"abstract": "Within the framework of the hypothesis offered by authors about a\ncomplex-valued nature of physical quantities the stability of basic equations\nof the classical physics concerning complex-valued perturbations of parameters\nand boundary conditions is explored. The conducted examination of nonlinear\nequations and, what is more important, of linear differential equations shows\nviolation in some cases of the continuous dependence of the solution on the\nchange of imaginary parts of parameters and boundary conditions in the\nneighborhood of zero. In other words, it was revealed that a small imaginary\npart may drive the real solution. It may be concluded that a small imaginary\npart, even if unobservable, is still an inherent characteristic of a physical\nquantity, being yet something like a hidden parameter, and manifests itself\nonly indirectly forcing the system to move in this or that direction, which may\nbe taken as a basis for experimental testing of the put forward hypothesis\nabout a complex-valued nature of physical quantities.",
"arxiv_id": "physics/0111052",
"authors": [
"V. V. Lyahov",
"V. M. Nechshadim"
],
"categories": [
"physics.gen-ph"
],
"title": "On Stability of Physics Systems",
"url": "https://arxiv.org/abs/physics/0111052"
},
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