Abstract
It has been shown in two previous articles by Olivi-Tran and Gauthier [1] and by Olivi-Tran [2] that our three dimensional universe may be embedded in a four-dimensional space. The radius of curvature of our universe is related to this fourth dimension and to time. Here we show with these assumptions, that a possible candidate for the Higgs scalar field has a potential which is a four dimensional box with two temporal boundaries 0 and T . This scalar field gives a mass to massless particles. This mass is quantized by Planck's constant and is proportional to the duration (i.e. to T ) of an interaction which could have create the particle with mass from a massless particle.