dorsal/arxiv
View SchemaDispersion Relations and Relativistic Causality
| Authors | H. Fearn, R. H. Gibb |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0310059 |
| URL | https://arxiv.org/abs/quant-ph/0310059 |
Abstract
In this paper we show that if the refractive index, or rather (n(w) -1) satisfies the dispersion relations then, it is implied by Titchmarsh's theorem that n(w) -> 1 as w -> infinity. Any other limiting value for n(w) would violate relativistic causality, by which we mean not only that cause must precede effect but also that signals cannot travel faster-than-c (the velocity of light) in a vacuum. This paper does not claim to be a mathematically rigorous proof, but the authors hope to have succeeded in supplying a very convincing argument against faster-than-c light signals. Keywords: Dispersion relations, Kramers Kronig relations, Causality, faster-than-c signals.
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"abstract": "In this paper we show that if the refractive index, or rather (n(w) -1)\nsatisfies the dispersion relations then, it is implied by Titchmarsh\u0027s theorem\nthat n(w) -\u003e 1 as w -\u003e infinity. Any other limiting value for n(w) would\nviolate relativistic causality, by which we mean not only that cause must\nprecede effect but also that signals cannot travel faster-than-c (the velocity\nof light) in a vacuum. This paper does not claim to be a mathematically\nrigorous proof, but the authors hope to have succeeded in supplying a very\nconvincing argument against faster-than-c light signals.\n Keywords: Dispersion relations, Kramers Kronig relations, Causality,\nfaster-than-c signals.",
"arxiv_id": "quant-ph/0310059",
"authors": [
"H. Fearn",
"R. H. Gibb"
],
"categories": [
"quant-ph"
],
"title": "Dispersion Relations and Relativistic Causality",
"url": "https://arxiv.org/abs/quant-ph/0310059"
},
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