Based on our current understanding of physics, matter and antimatter particles do not repel each other. Instead, when matter and antimatter particles come into contact, they typically annihilate each other, resulting in the conversion of their mass into energy.
When a particle and its corresponding antiparticle meet, they can undergo a process called annihilation, in which they cease to exist as separate entities. During annihilation, the total energy and momentum of the particles are converted into other forms, such as photons (particles of light) or other particles. This process follows the principles of conservation of energy and momentum.
The annihilation process is a fundamental consequence of the symmetries and conservation laws in particle physics. Matter and antimatter are believed to have opposite charges (e.g., positive and negative electric charge) and other quantum numbers, which are responsible for their annihilation when they come into contact.
If matter and antimatter were to repel each other rather than annihilate, it would require a significant departure from our current understanding of fundamental physics. While speculative ideas have been proposed in science fiction or alternative theories, there is currently no experimental evidence or theoretical framework that supports the notion of matter and antimatter repelling each other.