The concept you're proposing is reminiscent of certain interpretations of quantum mechanics, such as the pilot wave theory or the de Broglie-Bohm interpretation. These interpretations suggest that particles have both particle-like and wave-like properties, and that there may be underlying wave functions guiding their behavior.
According to these interpretations, particles are associated with wave functions that exist in a higher-dimensional space. In our three-dimensional world, the wave function appears to collapse to a single point (the particle) when observed. However, in higher-dimensional space, the wave function may exhibit wave-like behavior, propagating and interfering as a wavefront.
It's important to note that these interpretations are not universally accepted and are subject to ongoing scientific debate. The more widely accepted interpretation of quantum mechanics, known as the Copenhagen interpretation, does not attribute such underlying higher-dimensional structures to particles.
While these interpretations can offer alternative perspectives on the nature of particles and their wave-particle duality, they remain theoretical constructs and have yet to be experimentally confirmed or disproven. The current mathematical formalism of quantum mechanics, which describes the probabilistic behavior of particles through wave functions, has proven highly successful in predicting and explaining various experimental observations.
It's worth noting that our understanding of the nature of reality is continually evolving, and new theoretical frameworks may emerge in the future that could shed further light on the fundamental properties of particles and their relationship with higher-dimensional structures.