This paper proposes a computational efficiency framework for the quantum-classical boundary by integrating entropic gravity and the de Broglie relation. We posit that wave-particle duality represents an optimization mechanism where momentum determines computational fidelity states. Under this model, gravity emerges as a data compression algorithm that aggregates matter, while an object's momentum (p) acts as the critical variable determining whether the system calculates its high-fidelity state (wave superposition) or low-fidelity state (classical particle). This framework offers a cohesive narrative to explain recent experimental results, such as the observation of quantum coherence in levitated nanoparticles [1], interpreting them as controlled interventions at the limits of the system's optimization rules. This work presents a conceptual model rather than a complete physical theory, offering a heuristic interpretive framework that generates testable conceptual predictions.
This paper proposes a computational efficiency framework for the quantum-classical boundary by integrating entropic gravity and the de Broglie relation. We posit that wave-particle duality represents an optimization mechanism where momentum determines computational fidelity states. Under this model, gravity emerges as a data compression algorithm that aggregates matter, while an object's momentum (p) acts as the critical variable determining whether the system calculates its high-fidelity state (wave superposition) or low-fidelity state (classical particle). This framework offers a cohesive narrative to explain recent experimental results, such as the observation of quantum coherence in levitated nanoparticles [1], interpreting them as controlled interventions at the limits of the system's optimization rules. This work presents a conceptual model rather than a complete physical theory, offering a heuristic interpretive framework that generates testable conceptual predictions.
Wave-particle duality is widely regarded as one of the conceptual pillars of modern quantum theory, providing the framework through which the behavior of microscopic matter can be consistently interpreted. According to this principle, microscopic entities such as electrons, photons, atoms and even complex molecules exhibit both wave-like and particle-like properties depending on the experimental configuration used to observe them. This duality is quantitatively formalized through the De Broglie relation, which associates a wavelength with any particle possessing momentum. The present work provides a comprehensive theoretical analysis of the physical and mathematical foundations of wave-particle duality, focusing particularly on the De Broglie wavelength and the kinetic energy of the electron in both non-relativistic and relativistic regimes. The connection between the De Broglie hypothesis and Schrödinger’s equation is discussed in detail, highlighting the role of the kinetic energy operator and the interpretation of matter waves in terms of quantum wave packets. Experimental evidence supporting the wave nature of matter, including electron diffraction experiments and interferometry techniques, is also reviewed. Beyond their conceptual importance, these principles underpin several modern technologies, including electron microscopy, nanoscale semiconductor devices and quantum metrology. The analysis demonstrates that the De Broglie relation provides a unifying framework connecting momentum, wavelength and kinetic energy, thereby forming a fundamental bridge between classical mechanics, quantum theory and modern technological applications.
Abstract The double-slit experiment is a classic experiment that presents the clearest manifestation of wave-particle duality, one of the fundamental principles of quantum mechanics. The double-slit experiment still remains the phenomenon that demonstrates wave-particle duality at the most fundamental level. This phenomenon quantitatively and conceptually demonstrates that microscopic objects can behave like both waves and particles at the same time. This article provides an in-depth analysis of the physical nature of dualism, the mechanism of formation of the interference pattern, and the impact of the act of observation on the dynamics of quantum systems. The need for a new perspective on this topic is due to the fact that the current uncertainty in the interpretation of quantum reality has not yet been completely eliminated, and the boundaries between classical and quantum behavior in microscopic objects are still being explored. The results presented here restructure the deep mechanisms of the interference picture, more clearly frame the relationship between observation and wavefunction collapse, and provide a quantum. Since the article attempts to provide a complete answer to the mechanism of the formation of wave-particle duality, extensive space is given to sections such as historical development, theoretical models, modern research, etc. New approaches to this phenomenon have been developed using modern research and string theory. As a result, a new mathematical expression has been proposed that explains the reasons for the initial emergence of wave-particle duality, and is also important for string theory. The article explains the measurement problem with a more effective physical structure and ontological model.
Quantum mechanics describes physical systems through probabilistic wave functions, accounting for phenomena such as wave–particle duality and the uncertainty principle. Although the mathematical formalism of quantum mechanics is well established, conceptual understanding of how quantum entities transition between wave-like and particle-like behavior remains an active area of research. In this work, quantum mechanical principles are re-examined from an interaction-based perspective, emphasizing the roles of environmental coupling, measurement geometry, and energy exchange. Using the photoelectric effect, de Broglie relations, and Heisenberg’s uncertainty principle as foundational elements, a conceptual framework is proposed in which particle identity emerges dynamically from wave interaction with matter and measurement constraints. This interpretation provides an intuitive bridge between classical reasoning and quantum behavior while fully preserving the standard mathematical structure of quantum mechanics...........Please check the attachment for details
This paper presents a conceptually economical reinterpretation of wave–particle duality, framing it as a consequence of dimensional projection rather than as a fundamental ontological dualism or an observer-induced collapse. Quantum systems are treated as evolving continuously within a space of effective informational degrees of freedom, while particle-like behavior emerges from restricted lower-dimensional access and irreversible recording. By reclassifying classic experiments—such as double-slit interference, delayed-choice setups, quantum erasers, and automated detection—under this framework, the work highlights that their empirically observed continuous behaviors are more naturally explained by projection and information restriction than by abrupt state reduction. Beyond reinterpretation, the paper introduces a falsifiable experimental criterion—the Dimensional Projection Test (DPT)—which distinguishes projection-based, no-collapse descriptions from genuine collapse models. The DPT predicts a smooth degradation of interference visibility under continuously tuned coupling, whereas any sharp transition would signal objective collapse dynamics. Positioned as complementary to existing collapse-model bounds rather than a competing formalism, the DPT provides an operational lens through which foundational ambiguities can be tested experimentally. Overall, the work clarifies long-standing conceptual confusion without modifying quantum mechanics, offering a disciplined, test-oriented contribution to quantum foundations. Reality does not change when we stop observing; only our access does.
This work proposes a minimal ontological framework for interpreting wave–particle duality as a boundary-sensitive manifestation of quantum phenomena on an underlying, physically real but unobservable background. Rather than treating wave-like and particle-like behaviors as competing physical entities, the framework interprets them as distinct modes of manifestation determined by global boundary conditions. Motivated by interference experiments such as the double-slit setup, the study argues that experimental outcomes depend on boundary-induced modifications of a background structure beyond the local particle path. Within this view, wave-like interference corresponds to a nonlocal manifestation shaped by boundary conditions, while particle-like detection corresponds to localized manifestation events at measurement. The proposed interpretation preserves the standard quantum formalism while offering a realist, boundary-centered conceptual perspective that avoids observer-dependent collapse or multi-path particle propagation. The manuscript is provided as a preprint to invite open scientific discussion and critical evaluation.
This preprint presents a field-first interpretation of wave-particle duality grounded in the ontology of Quantum Field Theory (QFT). The framework treats quantum fields as the fundamental ontology of physical reality, while particles are understood as excitation states of their respective fields. Wave-like phenomena, including interference, diffraction, tunneling, and coherence effects, are interpreted as arising from the propagation and interaction dynamics of these excitations rather than from an independent wave ontology. The central thesis is that wave-particle duality does not represent two distinct physical realities, but rather different observational regimes of a single field-based process. Localized interactions appear particle-like, while propagation and interference phenomena appear wave-like. This interpretation is fully consistent with the existing mathematical formalism of Quantum Field Theory and does not introduce new physical laws or modifications to established quantum mechanics. The purpose of this work is interpretive and conceptual. It aims to provide a clearer ontological framework for understanding the relationship between quantum fields, particles, and wave-like behavior while reducing the conceptual ambiguity traditionally associated with wave-particle duality. This document represents the initial preprint release of the field-first interpretation framework.