The discussion centers on the relationship between a particle's mass and its wave properties, specifically questioning if mass fluctuates based on the Peak Envelope Power (PEP) of the wave form. Participants clarify that the concept of "mass width" or "decay width" in Quantum Field Theory (QFT) describes how the mass of unstable particles is represented as a distribution rather than a fixed value. The invariant mass of particles, such as photons from Higgs boson decay, exhibits a peak around the Higgs mass, indicating a range rather than a singular measurement. The mass of unstable particles is defined through complex poles in momentum space, linking real mass to decay width. Overall, the conversation emphasizes the nuanced understanding of mass in the context of quantum mechanics and particle physics.