dorsal/arxiv
View SchemaOn the origin of the gravitational quantization: The Titius--Bode Law
| Authors | Jaume Giné |
|---|---|
| Categories | |
| ArXiv ID | physics/0507072 |
| URL | https://arxiv.org/abs/physics/0507072 |
| DOI | 10.1016/j.chaos.2006.06.066 |
| Journal | Chaos Solitons Fractals 32:363-369,2007 |
Abstract
Action at distance in Newtonian physics is replaced by finite propagation speeds in classical post--Newtonian physics. As a result, the differential equations of motion in Newtonian physics are replaced by functional differential equations, where the delay associated with the finite propagation speed is taken into account. Newtonian equations of motion, with post--Newtonian corrections, are often used to approximate the functional differential equations. In ``On the origin of quantum mechanics'', preprint, physics/0505181, May 2005, a simple atomic model based on a functional differential equation which reproduces the quantized Bohr atomic model was presented. The unique assumption was that the electrodynamic interaction has finite propagation speed. Are the finite propagation speeds also the origin of the gravitational quantization? In this work a simple gravitational model based on a functional differential equation gives an explanation of the modified Titius--Bode law.
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"abstract": "Action at distance in Newtonian physics is replaced by finite propagation\nspeeds in classical post--Newtonian physics. As a result, the differential\nequations of motion in Newtonian physics are replaced by functional\ndifferential equations, where the delay associated with the finite propagation\nspeed is taken into account. Newtonian equations of motion, with\npost--Newtonian corrections, are often used to approximate the functional\ndifferential equations. In ``On the origin of quantum mechanics\u0027\u0027, preprint,\nphysics/0505181, May 2005, a simple atomic model based on a functional\ndifferential equation which reproduces the quantized Bohr atomic model was\npresented. The unique assumption was that the electrodynamic interaction has\nfinite propagation speed. Are the finite propagation speeds also the origin of\nthe gravitational quantization? In this work a simple gravitational model based\non a functional differential equation gives an explanation of the modified\nTitius--Bode law.",
"arxiv_id": "physics/0507072",
"authors": [
"Jaume Gin\u00e9"
],
"categories": [
"physics.gen-ph"
],
"doi": "10.1016/j.chaos.2006.06.066",
"journal_ref": "Chaos Solitons Fractals 32:363-369,2007",
"title": "On the origin of the gravitational quantization: The Titius--Bode Law",
"url": "https://arxiv.org/abs/physics/0507072"
},
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