Is the Planck’s Length the Shortest Meaningful Length in Space-time?

Branko M. Novakovic

The Planck’s length L_p, is believed to be the shortest meaningful length as the limiting distance below which the regular notions of space and length surcease to exist. Any attempt to investigate the possible existence of smaller distances, by using higher energy collisions, would result in black hole production. This is the consequence of the vacuum solution of the Einstein’s field equations that predicts the singularities and the related black holes in the extremely strong field. Recently, it has been developed a new Relativistic Alpha Field Theory (RAFT) that extends the application of General Relativity Theory (GRT) to the extremely strong fields at the Planck’s scale. One of the predictions of RAF theory is: there exists a minimal gravitational radius at r = (GM/2c²) that prevents singularity at r = 0, i.e. the nature protects itself. If RAF theory is correct then one can find out the following consequences of the existence of the minimal radius in a gravitational field: a) each mass has its own minimal radius, b) the minimal radius of the Planck’s mass is equal to half of the Planck’s length, c) the smallest minimal radius in a gravitational field belongs to the particle with the smallest mass and d) the Planck’s mass is not the smallest mass in the spacetime and therefore the Planck’s length is not the shortest meaningful length. Thus, it has been theoretically confirmed that the physical significance of the Planck’s length is the minimal length (diameter) of the Planck’s mass.

https://doi.org/10.31871/IJNTR.5.11.21