The Infinitesimally Punctured Wave: A Corpuscular Visualisation of Wave-Particle Duality

Abstract

Wave-particle duality remains one of the most puzzling aspects of quantum mechanics, traditionally expressed through complementary experimental outcomes such as the double slit interference pattern and the photoelectric effect. This short article proposes an alternative conceptual model—the Infinitesimally Punctured Wave—in which a quantum object is visualised as an aggregation of infinitely many infinitesimally spaced particles. When these particles are densely packed, the ensemble appears as a continuous wave; when a measurement isolates a single constituent, particle-like behaviour emerges. The model is situated alongside established alternative interpretations (e.g., de Broglie–Bohm pilot wave theory, wave packet descriptions) and linked to Neutrosophic Quantum Theory, which supplies a logical framework for handling indeterminacy. By offering a concrete visual metaphor, the punctured wave picture aims to bridge the discrete continuous divide and stimulate further discussion on the foundations of quantum mechanics.

DOI 10.5281/zenodo.17662294