Particles can exhibit wave-like behavior, as described by quantum mechanics. This is known as wave-particle duality, where particles such as electrons and photons can exhibit both wave-like and particle-like properties depending on the experimental setup.
When particles are in a state of motion, they possess kinetic energy. Additionally, particles can also possess other forms of energy such as potential energy or rest mass energy. However, it's important to note that particles themselves do not emit energy in the form of waves. Instead, particles can interact with fields or other particles, which may result in the emission or absorption of energy in the form of waves.
Regarding the interaction of waves, they can certainly perturb each other, leading to phenomena such as interference and diffraction. When two waves interact, their amplitudes can add up constructively or destructively, depending on the phase relationship between them. This interference can cause the waves to become entangled or intricately linked, especially in the case of quantum entanglement.
The Feigenbaum-Coullet-Tresser constant, also known as the Feigenbaum constant or delta, is a mathematical constant that appears in the study of chaotic dynamical systems. It is related to the behavior of iterated maps and is associated with the transition to chaos. At first glance, there doesn't appear to be a direct link between this constant and the concepts of particle-wave duality or wave interaction in the context of quantum mechanics. The Feigenbaum constant is primarily concerned with the behavior of mathematical systems rather than the physical phenomena associated with particles and waves.