The Heisenberg limit at cosmological scales
| Autor: | Spallicci, Alessandro D. A. M., Benetti, Micol, Capozziello, Salvatore |
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| Rok vydání: | 2021 |
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| Zdroj: | Found. Phys., 52, 23 (2022) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s10701-021-00531-z |
| Popis: | For an observation time {equal to} the universe age, the Heisenberg principle fixes the value of the smallest measurable mass at $m_{\rm H}=1.35 \times 10^{-69}$ kg and prevents to probe the masslessness for any particle using a balance. The corresponding reduced Compton length to $m_{\rm H}$ is $\lambdabar_{\rm H}$, and represents the length limit beyond which masslessness cannot be proved using a metre ruler. In turns, $\lambdabar_{\rm H}$ is equated to the luminosity distance $d_{\rm H}$ which corresponds to a red shift $z_{\rm H}$. When using the Concordance-Model parameters, we get $d_{\rm H} = 8.4$ Gpc and $z_{\rm H}=1.3$. Remarkably, $d_{\rm H}$ falls quite short to the radius of the {\it observable} universe. According to this result, tensions in cosmological parameters could be nothing else but due to comparing data inside and beyond $z_{\rm H}$. Finally, in terms of quantum quantities, the expansion constant $H_0$ reveals to be one order of magnitude above the smallest measurable energy, divided by the Planck constant Comment: A different view on the Hubble tension. To appear in final form on Foundations of Physics by Springer, as follow-on of Capozziello S., Benetti M., Spallicci A.D.A.M., 2020, Found. Phys., 50, 893 |
| Databáze: | arXiv |
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