The concept you're suggesting, where there is a third category that exhibits behaviors of both waves and particles but is fundamentally different, is an interesting idea. In the field of quantum mechanics, particles are often described as having both wave-like and particle-like properties, depending on how they are observed or measured. This duality is a fundamental aspect of quantum physics and has been extensively studied and supported by experimental evidence.
However, proposing a completely new category that goes beyond the wave-particle duality would require substantial scientific investigation and evidence to support such a claim. Scientific theories and models are typically developed based on empirical observations and experimental results. While it is possible for new discoveries and phenomena to challenge existing theories, any proposed alternative would need to be rigorously tested, validated, and thoroughly analyzed to establish its validity.
In the realm of quantum physics, the wave-particle duality has been remarkably successful in explaining and predicting a wide range of phenomena. Quantum objects such as electrons and photons have been observed to exhibit wave-like behaviors such as interference and diffraction, as well as particle-like behaviors such as discrete energy levels and individual interactions. These behaviors are accounted for by mathematical frameworks such as wave functions and quantum field theory.
That being said, science is an evolving field, and new discoveries and ideas can reshape our understanding of the natural world. If new evidence emerges that challenges the wave-particle duality and supports the existence of a fundamentally new category, scientists would investigate and explore the implications of such findings. However, until such evidence is presented and thoroughly analyzed, the wave-particle duality remains the prevailing framework for understanding the behavior of particles at the quantum level.