dorsal/arxiv
View SchemaDeformation principle as foundation of physical geometry and its application to space-time geometry
| Authors | Yuri A. Rylov |
|---|---|
| Categories | |
| ArXiv ID | physics/0411103 |
| URL | https://arxiv.org/abs/physics/0411103 |
Abstract
Physical geometry studies mutual disposition of geometrical objects and points in space, or space-time, which is described by the distance function d, or by the world function \sigma =d^{2}/2. One suggests a new general method of the physical geometry construction. The proper Euclidean geometry is described in terms of its world function \sigma_E. Any physical geometry G is obtained from the Euclidean geometry as a result of replacement of the Euclidean world function \sigma_E by the world function \sigma of G. This method is very simple and effective. It introduces a new geometric property: nondegeneracy of geometry. Using this method, one can construct deterministic space-time geometries with primordially stochastic motion of free particles and geometrized particle mass. Such a space-time geometry defined properly (with quantum constant as an attribute of geometry) allows one to explain quantum effects as a result of the statistical description of the stochastic particle motion (without a use of quantum principles).
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"abstract": "Physical geometry studies mutual disposition of geometrical objects and\npoints in space, or space-time, which is described by the distance function d,\nor by the world function \\sigma =d^{2}/2. One suggests a new general method of\nthe physical geometry construction. The proper Euclidean geometry is described\nin terms of its world function \\sigma_E. Any physical geometry G is obtained\nfrom the Euclidean geometry as a result of replacement of the Euclidean world\nfunction \\sigma_E by the world function \\sigma of G. This method is very simple\nand effective. It introduces a new geometric property: nondegeneracy of\ngeometry. Using this method, one can construct deterministic space-time\ngeometries with primordially stochastic motion of free particles and\ngeometrized particle mass. Such a space-time geometry defined properly (with\nquantum constant as an attribute of geometry) allows one to explain quantum\neffects as a result of the statistical description of the stochastic particle\nmotion (without a use of quantum principles).",
"arxiv_id": "physics/0411103",
"authors": [
"Yuri A. Rylov"
],
"categories": [
"physics.gen-ph"
],
"title": "Deformation principle as foundation of physical geometry and its application to space-time geometry",
"url": "https://arxiv.org/abs/physics/0411103"
},
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