Planck Scale Fluid Mechanics: Measuring the Planck Length from Fluid Mechanics Independent of G

Abstract

We demonstrate how to extract the Planck length from hydrostatic pressure without relying on any knowledge of Newton’s gravitational constant, G. By measuring the pressure from a water column, we can determine the Planck length without requiring knowledge of either G or the Planck constant. This experiment is simple to perform and cost-effective, making it not only of in- terest to researchers studying gravity but also suitable for low-budget educa- tional settings. Despite its simplicity, this has never been demonstrated to be possible before, and it is achievable due to new theoretical insights into grav- ity and its connection to quantum gravity and the Planck scale. This provides new insights into fluid mechanics and the Planck scale. We are also exploring initial concepts related to what we are calling “Planck fluid”, which could po- tentially play a central role in quantum gravity and quantum fluid mechanics.

Planck Scale Fluid Mechanics: Measuring the Planck Length from Fluid Mechanics Independent of G