Dispersion Relations and Relativistic Causality
| dc.creator | Fearn, H. | |
| dc.creator | Gibb, R. H. | |
| dc.date | 2003-10-09 | |
| dc.date | 2003-10-30 | |
| dc.date.accessioned | 2026-07-07T06:08:02Z | |
| dc.date.available | 2026-07-07T06:08:02Z | |
| dc.description | 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. | |
| dc.description | 13 pages no figures (condensed format) Changes has been made to the Scharnhorst section | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0310059 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0310059 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/91497 | |
| dc.subject | Quantum Physics | |
| dc.title | Dispersion Relations and Relativistic Causality | |
| dc.type | text |