dorsal/arxiv
View SchemaGeometric Drive of the Universe's Expansion
| Authors | Jose B. Almeida |
|---|---|
| Categories | |
| ArXiv ID | physics/0507102 |
| URL | https://arxiv.org/abs/physics/0507102 |
| DOI | 10.1063/1.2189128 |
| Journal | 1st Crisis in Cosmology Conference, CCC - I, AIP Conference Proceedings, 822, pp. 110-122, Moncao (Portugal), 2006 |
Abstract
What if physics is just the way we perceive geometry? That is, what if geometry and physics will one day become one and the same discipline? I believe that will mean we will at last really understand physics, without postulates other than those defining the particular space where the physics play is performed. In this paper I use 5-dimensional spacetime as a point of departure and make a very peculiar assignment between coordinates and physical distances and time. I assume there is an hyperspherical symmetry which is made apparent by assigning the hypersphere radius to proper time and distances on the hypersphere to usual 3-dimensional distances. Time, or Compton time to distinguish from cosmic time is the 0th coordinate and I am able to project everything into 4-dimensions by imposing a null displacement condition. Surprisingly nothing else is needed to explain Hubble's expansion law without any appeal to dark matter; an empty Universe will expand naturally at a flat rate in this way. I then discuss the perturbative effects of a small mass density in the expansion rate in a qualitative way; quantitative results call for the solution of equations that sometimes have not even been clearly formulated and so are deferred to later work. A brief outlook of the consequences an hyperspherical symmetry has for galaxy dynamics allows the derivation of constant rotation velocity curves, again without appealing to dark matter. An appendix explains how electromagnetism is made consistent with this geometric approach and justifies the fact that photons must travel on hypersphere circles, to be normal to proper time.
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"abstract": "What if physics is just the way we perceive geometry? That is, what if\ngeometry and physics will one day become one and the same discipline? I believe\nthat will mean we will at last really understand physics, without postulates\nother than those defining the particular space where the physics play is\nperformed. In this paper I use 5-dimensional spacetime as a point of departure\nand make a very peculiar assignment between coordinates and physical distances\nand time. I assume there is an hyperspherical symmetry which is made apparent\nby assigning the hypersphere radius to proper time and distances on the\nhypersphere to usual 3-dimensional distances. Time, or Compton time to\ndistinguish from cosmic time is the 0th coordinate and I am able to project\neverything into 4-dimensions by imposing a null displacement condition.\nSurprisingly nothing else is needed to explain Hubble\u0027s expansion law without\nany appeal to dark matter; an empty Universe will expand naturally at a flat\nrate in this way. I then discuss the perturbative effects of a small mass\ndensity in the expansion rate in a qualitative way; quantitative results call\nfor the solution of equations that sometimes have not even been clearly\nformulated and so are deferred to later work. A brief outlook of the\nconsequences an hyperspherical symmetry has for galaxy dynamics allows the\nderivation of constant rotation velocity curves, again without appealing to\ndark matter. An appendix explains how electromagnetism is made consistent with\nthis geometric approach and justifies the fact that photons must travel on\nhypersphere circles, to be normal to proper time.",
"arxiv_id": "physics/0507102",
"authors": [
"Jose B. Almeida"
],
"categories": [
"physics.gen-ph"
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"doi": "10.1063/1.2189128",
"journal_ref": "1st Crisis in Cosmology Conference, CCC - I, AIP Conference\n Proceedings, 822, pp. 110-122, Moncao (Portugal), 2006",
"title": "Geometric Drive of the Universe\u0027s Expansion",
"url": "https://arxiv.org/abs/physics/0507102"
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