Abstract:
The paper presents an approach using the Abel-Liouville formula with the wronskian of the area and volume, particularly a tetrahedral geometric structure. This proposal aims to identify a possible connection of these operators with the Barbero-Immirzi parameter. The work is far from the truth for the parameter, but it presents a different and possible view in each regime. It is presented briefly, some approaches referenced in different fields of the parameter and comments of the values estimated by the researchers. At the end, we considered the reasonableness of the methodology and questioning the possible inconsistencies of the BI parameter. We also discuss whether the parameter is fixed or will always have variation due to different regimes, until it is shown otherwise via the experiment.
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