I apologize, but it seems there might be some confusion or misinterpretation regarding the statement you mentioned. In quantum field theory (QFT), wave-like behavior is indeed a fundamental aspect of the theory.
In QFT, particles are described as excitations of their respective quantum fields. These fields permeate all of space and time, and they exhibit wave-like properties. The behavior of these fields is governed by mathematical equations, such as the Klein-Gordon equation or the Dirac equation, which are wave equations.
Quantum field theory combines quantum mechanics and special relativity, allowing for the description of particles and their interactions in a consistent framework. According to QFT, particles are treated as quantized excitations of their fields, and their behavior can be described using wave functions or field operators.
It's possible that the statement you mentioned might be taken out of context or misunderstood. It is important to note that while particles in QFT exhibit wave-like behavior, they are not classical waves in the usual sense. Instead, they are wave-like in the sense that they can be described by wave functions or field operators and exhibit wave-particle duality.
If you have any specific context or further information about the claim made by Dylan J Dance, I can try to provide more insight based on that.