dorsal/arxiv
View SchemaLower and Upper Bounds on CSL Parameters from Latent Image Formation and IGM Heating
| Authors | Stephen L. Adler |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0605072 |
| URL | https://arxiv.org/abs/quant-ph/0605072 |
| DOI | 10.1088/1751-8113/40/12/S03 10.1088/1751-8121/40/44/C01 |
| Journal | J.Phys.A40:2935-2958,2007; Erratum-ibid.A40:13501,2007 |
Abstract
We study lower and upper bounds on the parameters for stochastic state vector reduction, focusing on the mass-proportional continuous spontaneous localization (CSL) model. We show that the assumption that the state vector is reduced whan a latent image is formed, in photography or etched track detection, requires a CSL rate parameter $\lambda$ that is larger than conventionally assumed by a factor of roughly $2 \times 10^{9\pm 2}$, for a correlation length $r_C$ of $10^{-5}{\rm cm}$. We reanalyze existing upper bounds on the reduction rate and conclude that all are compatible with such an increase in $\lambda$. The best bounds that we have obtained come from a consideration of heating of the intergalactic medium (IGM), which shows that $\lambda$ can be at most $\sim 10^{8\pm 1}$ times as large as the standard CSL value, again for $r_C=10^{-5} {\rm cm}$. (For both the lower and upper bounds, quoted errors are not purely statistical errors, but rather are estimates reflecting modeling uncertainties.) We discuss modifications in our analysis corresponding to a larger value of $r_C$. With a substantially enlarged rate parameter, CSL effects may be within range of experimental detection (or refutation) with current technologies. ADDED NOTE: A careful calculation of radiation from atomic systems in the CSL model (Adler and Ramazanoglu, arXiv:0707.3134) has reinstated the bound obtained by Fu as the best upper bound on lambda, with significant implications for CSL model phenomenology.
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"abstract": "We study lower and upper bounds on the parameters for stochastic state vector\nreduction, focusing on the mass-proportional continuous spontaneous\nlocalization (CSL) model. We show that the assumption that the state vector is\nreduced whan a latent image is formed, in photography or etched track\ndetection, requires a CSL rate parameter $\\lambda$ that is larger than\nconventionally assumed by a factor of roughly $2 \\times 10^{9\\pm 2}$, for a\ncorrelation length $r_C$ of $10^{-5}{\\rm cm}$. We reanalyze existing upper\nbounds on the reduction rate and conclude that all are compatible with such an\nincrease in $\\lambda$. The best bounds that we have obtained come from a\nconsideration of heating of the intergalactic medium (IGM), which shows that\n$\\lambda$ can be at most $\\sim 10^{8\\pm 1}$ times as large as the standard CSL\nvalue, again for $r_C=10^{-5} {\\rm cm}$. (For both the lower and upper bounds,\nquoted errors are not purely statistical errors, but rather are estimates\nreflecting modeling uncertainties.) We discuss modifications in our analysis\ncorresponding to a larger value of $r_C$. With a substantially enlarged rate\nparameter, CSL effects may be within range of experimental detection (or\nrefutation) with current technologies. ADDED NOTE: A careful calculation of\nradiation from atomic systems in the CSL model (Adler and Ramazanoglu,\narXiv:0707.3134) has reinstated the bound obtained by Fu as the best upper\nbound on lambda, with significant implications for CSL model phenomenology.",
"arxiv_id": "quant-ph/0605072",
"authors": [
"Stephen L. Adler"
],
"categories": [
"quant-ph",
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"doi": "10.1088/1751-8113/40/12/S03 10.1088/1751-8121/40/44/C01",
"journal_ref": "J.Phys.A40:2935-2958,2007; Erratum-ibid.A40:13501,2007",
"title": "Lower and Upper Bounds on CSL Parameters from Latent Image Formation and IGM Heating",
"url": "https://arxiv.org/abs/quant-ph/0605072"
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