According to our current understanding of physics, beta particles cannot travel faster than the speed of light in a vacuum. The theory of relativity, specifically the special theory of relativity proposed by Albert Einstein, establishes that the speed of light in a vacuum, approximately 299,792 kilometers per second (186,282 miles per second), is the ultimate speed limit in the universe. This speed is denoted as "c" in physics.
Beta particles are high-energy electrons or positrons that are emitted during certain types of radioactive decay. While they can reach very high speeds, even a significant fraction of the speed of light, they are still subject to the ultimate speed limit of light. As an object with mass accelerates, its energy increases, and its relativistic mass increases as well. As an object with mass approaches the speed of light, its relativistic mass becomes infinitely large, requiring an infinite amount of energy to reach or exceed the speed of light. Thus, it is currently considered impossible for any object with mass, including beta particles, to surpass the speed of light.
It's important to note that there have been experimental observations suggesting particles traveling faster than light, such as the faster-than-light neutrino anomaly reported in 2011. However, these observations were eventually found to be the result of experimental errors, and no credible evidence has been found to support the idea of particles traveling faster than light within our current scientific understanding.