Finding the planck length multiplied by the speed of light without any knowledge of g, c,or ÿ, using a newton force spring

Abstract

In this paper, we show how one can find the Planck length multiplied by the speed of light, lpc, from a Newton force spring with no knowledge of the Newton gravitational constant G, the speed of light c,or the Planck constant h. This is remarkable, as for more than a hundred years, modern physics has assumed that one needs to know G, c, and the Planck constant in order to find any of the Planck units. We also show how to find other Planck units using the same method. To find the Planck time and the Planck length, one also needs to know the speed of light. To find the Planck mass and the Planck energy in their normal units, we need to know the Planck constant, something we will discuss in this paper. For these measurements, we do not need any knowledge of the Newton gravitational constant. It can be shown that the Planck length times the speed of light requires less information than any other Planck unit; in fact, it needs no knowledge of any fundamental constant to be measured. This is a revolutionary concept and strengthens the case for recent discoveries in quantum gravity theory completed by (Haug 2020 Phys. Essays 33 46–78).