dorsal/arxiv
View SchemaScanning the structure of ill-known spaces: Part 2. Principles of construction of physical space
| Authors | Michel Bounias, Volodymyr Krasnoholovets |
|---|---|
| Categories | |
| ArXiv ID | physics/0212004 |
| URL | https://arxiv.org/abs/physics/0212004 |
| Journal | Kybernetes: The International Journal of Systems & Cybernetics, Vol. 32, No. 7/8, pp. 976-1004 (2003) |
Abstract
Spacetime is represented by ordered sequences of topologically closed Poincare sections of the primary space constructed of primary empty cells. These mappings are constrained to provide homeomorphic structures serving as frames of reference in order to account for the successive positions of any objects present in the system. Mappings from one to the next section involve morphisms of the general structures. Discrete properties of the lattice allow the prediction of scales at which microscopic to cosmic structures should occur. Deformations of primary cells by exchange of empty set cells allow a cell to be mapped into an image cell in the next section as far as mapped cells remain homeomorphic. If a deformation involves a fractal transformation to objects, there occurs a change in the dimension of the cell and the homeomorphism is not conserved. The fractal kernel stands for a "particle" and the reduction of its volume is compensated by morphic changes of a finite number of surrounding cells. Quanta of distances and quanta of fractality are demonstrated. The interaction of a moving particle-like deformation with the surrounding lattice involves a fractal decomposition process that supports the existence and properties of previously postulated inerton clouds as associated to particles. Experimental evidence and further possibilities of the existence of inertons are proposed.
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"abstract": "Spacetime is represented by ordered sequences of topologically closed\nPoincare sections of the primary space constructed of primary empty cells.\nThese mappings are constrained to provide homeomorphic structures serving as\nframes of reference in order to account for the successive positions of any\nobjects present in the system. Mappings from one to the next section involve\nmorphisms of the general structures. Discrete properties of the lattice allow\nthe prediction of scales at which microscopic to cosmic structures should\noccur. Deformations of primary cells by exchange of empty set cells allow a\ncell to be mapped into an image cell in the next section as far as mapped cells\nremain homeomorphic. If a deformation involves a fractal transformation to\nobjects, there occurs a change in the dimension of the cell and the\nhomeomorphism is not conserved. The fractal kernel stands for a \"particle\" and\nthe reduction of its volume is compensated by morphic changes of a finite\nnumber of surrounding cells. Quanta of distances and quanta of fractality are\ndemonstrated. The interaction of a moving particle-like deformation with the\nsurrounding lattice involves a fractal decomposition process that supports the\nexistence and properties of previously postulated inerton clouds as associated\nto particles. Experimental evidence and further possibilities of the existence\nof inertons are proposed.",
"arxiv_id": "physics/0212004",
"authors": [
"Michel Bounias",
"Volodymyr Krasnoholovets"
],
"categories": [
"physics.gen-ph"
],
"journal_ref": "Kybernetes: The International Journal of Systems \u0026 Cybernetics,\n Vol. 32, No. 7/8, pp. 976-1004 (2003)",
"title": "Scanning the structure of ill-known spaces: Part 2. Principles of construction of physical space",
"url": "https://arxiv.org/abs/physics/0212004"
},
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