dorsal/arxiv
View SchemaOn the origin of quantum mechanics
| Authors | Jaume Giné |
|---|---|
| Categories | |
| ArXiv ID | physics/0505181 |
| URL | https://arxiv.org/abs/physics/0505181 |
| DOI | 10.1016/j.chaos.2006.03.035 |
| Journal | Chaos Solitons Fractals 30 (2006), no. 3, 532-541. |
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. Are the finite propagation speeds the origin of the quantum mechanics? In this work a simple atomic model based on a functional differential equation which reproduces the quantized Bohr atomic model is presented. As straightforward application of the result the fine structure of the hydrogen atom is approached.
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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. Are the finite propagation speeds the origin of the\nquantum mechanics? In this work a simple atomic model based on a functional\ndifferential equation which reproduces the quantized Bohr atomic model is\npresented. As straightforward application of the result the fine structure of\nthe hydrogen atom is approached.",
"arxiv_id": "physics/0505181",
"authors": [
"Jaume Gin\u00e9"
],
"categories": [
"physics.gen-ph"
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"doi": "10.1016/j.chaos.2006.03.035",
"journal_ref": "Chaos Solitons Fractals 30 (2006), no. 3, 532-541.",
"title": "On the origin of quantum mechanics",
"url": "https://arxiv.org/abs/physics/0505181"
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