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The wave–particle duality of quantum systems motivates a novel ontological picture: the Infinitesimally Punctured Wave (IPW). In this framework a quantum entity is modeled as a continuous wave that contains an internal lattice of infinitesimally spaced “punctures.” These punctures give rise to localized, particle‑like behavior when a measurement couples to the wave, while the surrounding lattice retains the delocalized, wave‑like statistics. By extending the IPW concept from curves (lines) to surfaces, spaces, and higher‑dimensional objects, we obtain a unified description that simultaneously addresses quantum mechanics, black‑hole physics, and cosmology. The IPW formalism introduces modified field equations that regularize singularities, provides analytic stability proofs for puncture solutions, and yields observational constraints that are compatible with existing data. Consequently, IPW offers a singularity‑free, experimentally testable alternative to standard interpretations, bridging foundational gaps between quantum theory, gravitation, and the large‑scale structure of the universe.
The wave–particle duality of quantum systems motivates a novel ontological picture: the Infinitesimally Punctured Wave (IPW). In this framework a quantum entity is modeled as a continuous wave that contains an internal lattice of infinitesimally spaced “punctures.” These punctures give rise to lo...
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