2020
DOI: 10.1088/2399-6528/ab9dd7
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Finding the Planck length multiplied by the speed of light without any knowledge ofG,c, or ℏ, using a Newton force spring

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Cited by 45 publications
(47 citation statements)
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“…Still, there are others [12] that are more on the Bridgman side and think of the Planck units more like a mathematical artifact, or at least something we never can measure except from deriving it through dimensional analysis. However, recently we [13] have shown how one can measure the Planck length independent of G and~using a Newton force spring, although this method is somewhat more complicated than shown here. Here, we will extend our analysis to measure the Planck length with a ball with a built-in stopwatch -this makes it particularly easy to perform such an experiment, even high school physics students can now get a better feel of how one can extract the Planck length from gravity phenomena.…”
mentioning
confidence: 84%
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“…Still, there are others [12] that are more on the Bridgman side and think of the Planck units more like a mathematical artifact, or at least something we never can measure except from deriving it through dimensional analysis. However, recently we [13] have shown how one can measure the Planck length independent of G and~using a Newton force spring, although this method is somewhat more complicated than shown here. Here, we will extend our analysis to measure the Planck length with a ball with a built-in stopwatch -this makes it particularly easy to perform such an experiment, even high school physics students can now get a better feel of how one can extract the Planck length from gravity phenomena.…”
mentioning
confidence: 84%
“…We to a large degree agree with such an argument, but even if a composite particle or even a large composite mass does not have one single Compton wavelength, they ultimately consist of many elementary particles with a Compton wavelength. The aggregates of the individual Compton wavelength in any mass are given by the relation below (see also [13])…”
mentioning
confidence: 99%
“…Haug [6] [34] has shown how to find the Planck length independently of both G and  using a Cavendish apparatus, and without G using a Newton force spring, see [35]. We extend this work to show how a grandfather pendulum clock can be used to find the Planck time (and thereby naturally the Planck length as well) independently of any knowledge of G. Huygens [1] was the first to derive the formula for the period of an ideal mathematical pendulum…”
Section: Using a Pendulum Clock To Find The Planck Timementioning
confidence: 99%
“…Actually, all Newtonian gravitational phenomena contain lpc. For example, [61] has recently shown how lpc can be extracted from a Newton gravity force spring without any knowledge of G orh. We have already shown how to find the Compton frequency for any mass size.…”
Section: Back To the Indivisible Particles Of Newton And The Ancient mentioning
confidence: 99%