Particles are routinely accelerated to ultrarelativistic speeds (infinitesimally close to the speed of light) in particle accelerators and astrophysical environments, making this statement common knowledge.
The claim states that particles can be accelerated to speeds infinitesimally close to the speed of light. This is a well-established physical reality demonstrated in particle physics, colliders (like the LHC), and astrophysics (ultrarelativistic jets), rendering it common knowledge.