The Higgs field and its interaction with particles play a crucial role in our understanding of the origin of mass in the universe. However, it is important to note that the limitation on acceleration to the speed of light for particles is not directly related to the interaction of particles with the Higgs field.
According to the theory of relativity, as formulated by Albert Einstein, the speed of light in a vacuum is an absolute speed limit. Particles with mass cannot reach or exceed the speed of light because their mass and energy increase as they approach the speed of light. The closer a massive particle gets to the speed of light, the more energy is required to continue accelerating it. Infinite energy would be required to accelerate a particle with mass to the speed of light, which is unattainable.
The Higgs field and the associated Higgs boson are related to the mechanism through which particles acquire mass. According to the current understanding, particles interact with the Higgs field, and this interaction gives rise to their mass. The Higgs field permeates the universe, and particles moving through it experience a resistance or drag, analogous to moving through a medium. This resistance, caused by the Higgs field, contributes to the inertia of the particles and their resistance to changes in motion.
However, it's important to clarify that the Higgs field and its interaction with particles do not directly limit the acceleration of particles to the speed of light. The speed limitation arises from the fundamental structure of spacetime, as described by the theory of relativity, and is not tied solely to the interaction with the Higgs field. The Higgs field's role is primarily related to the generation of mass rather than imposing a direct constraint on the speed of particles.