The uncertainty principle was proposed by Werner Heisenberg, and the concept of the wave nature of matter was proposed by Louis de Broglie. Therefore, the correct answer is Heisenberg and de Broglie respectively.

The uncertainty principle, also known as Heisenberg's uncertainty principle, is a fundamental theory in quantum mechanics that states it is impossible to simultaneously know both the exact position and the exact momentum of a particle. This principle challenges the classical idea that these properties can be measured simultaneously with arbitrary accuracy. It introduces a fundamental limit to the precision with which certain pairs of physical properties, such as position and momentum, can be simultaneously known.

On the other hand, Louis de Broglie introduced the revolutionary idea of the wave nature of matter. This concept, known as wave-particle duality, posits that all matter exhibits both wave-like and particle-like properties. De Broglie's hypothesis laid the foundation for quantum mechanics by suggesting that particles such as electrons could be described by wave functions, leading to the development of the Schrödinger equation which describes how the quantum state of a physical system changes over time.