dorsal/arxiv
View SchemaThe Universe from Nothing: A Mathematical Lattice of Empty Sets
| Authors | Michel Bounias, Volodymyr Krasnoholovets |
|---|---|
| Categories | |
| ArXiv ID | physics/0309102 |
| URL | https://arxiv.org/abs/physics/0309102 |
| Journal | International Journal of Anticipatory Computing Systems, vol. 16, pp. 3-24 (2004) |
Abstract
In this work, major principles of the mathematical constitution of space and the principles of construction of the physical space are presented. Generalized conceptions of distances and dimensionality evaluation are proposed, together with their conditions of validity and range of application to topological spaces. The existence of a Boolean lattice with fractal properties originating from non-well-founded properties of the empty set is demonstrated. Space-time emerges as an ordered sequence of mappings of closed 3-D Poincare sections of a topological 4-space-time provided by the lattice of primary empty cells. 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. It is shown that the families of fractal deformations give rise to families of particle-like structures. Deformation attributes associated to mass determine the inert mass and the gravitational effects, as has previously been shown, but fractal deformations of cells are responsible for the other fundamental characteristics, namely: spin, charges, and electric and magnetic properties.
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"abstract": "In this work, major principles of the mathematical constitution of space and\nthe principles of construction of the physical space are presented. Generalized\nconceptions of distances and dimensionality evaluation are proposed, together\nwith their conditions of validity and range of application to topological\nspaces. The existence of a Boolean lattice with fractal properties originating\nfrom non-well-founded properties of the empty set is demonstrated. Space-time\nemerges as an ordered sequence of mappings of closed 3-D Poincare sections of a\ntopological 4-space-time provided by the lattice of primary empty cells. The\nfractal kernel stands for a particle and the reduction of its volume is\ncompensated by morphic changes of a finite number of surrounding cells. Quanta\nof distances and quanta of fractality are demonstrated. It is shown that the\nfamilies of fractal deformations give rise to families of particle-like\nstructures. Deformation attributes associated to mass determine the inert mass\nand the gravitational effects, as has previously been shown, but fractal\ndeformations of cells are responsible for the other fundamental\ncharacteristics, namely: spin, charges, and electric and magnetic properties.",
"arxiv_id": "physics/0309102",
"authors": [
"Michel Bounias",
"Volodymyr Krasnoholovets"
],
"categories": [
"physics.gen-ph"
],
"journal_ref": "International Journal of Anticipatory Computing Systems, vol. 16,\n pp. 3-24 (2004)",
"title": "The Universe from Nothing: A Mathematical Lattice of Empty Sets",
"url": "https://arxiv.org/abs/physics/0309102"
},
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