No, at absolute zero temperature, particles do not have equal kinetic energy. According to the principles of quantum mechanics, at absolute zero temperature (which is approximately -273.15 degrees Celsius or 0 Kelvin), particles come to their lowest possible energy state, known as the ground state.
In the ground state, particles such as atoms or molecules have minimal or zero kinetic energy. However, their kinetic energy is not uniformly distributed among all particles. Instead, each particle may still possess a residual amount of kinetic energy due to its inherent quantum mechanical nature, such as zero-point energy. This residual kinetic energy arises from the uncertainty principle, which states that even at the lowest energy state, particles still have a minimum level of motion.
Thus, while the average kinetic energy of particles at absolute zero temperature is extremely close to zero, individual particles can have residual kinetic energy, but it is not the same for all particles.