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A Relational Resolution of the Duality of Matter and Radiation

Hamid Naghieh

Published Feb 3, 2026• 0 citations
Publisher

Abstract

Any physical experiment must be described relationally consistent: observations are always made from a reference frame that is either co-moving with the system under study (zero relative velocity) or moving with respect to it (non-zero relative velocity). This applies equally whether the observer is associated with the entity under observation (e.g. an electron beam) or with the apparatus (e.g. a detector).a These are the only possible relational viewpoints, and consistency requires that one such viewpoint be maintained from the initial to the final stage of the experiment. The observer must either remain at rest relative to the apparatus or remain at rest relative to the particles, but cannot switch relational roles midway. Failure to maintain this consistency introduces interpretational difficulties that are often taken to reflect the “dual” nature of matter and radiation. In the initial stage of the double-slit experiment, the observer is implicitly treated as co-moving with the incoming electron beam, effectively assigning zero relative velocity between observer and electrons. However, in the final stage at the detection screen, the same observer is implicitly assumed to have a zero relative velocity with respect to the detector. The implicit assumption that the observer of the experiment can simultaneously be co-moving with the detector, and co-moving with the electrons, is the inconsistency. The relational viewpoint is changed between the initial and final parts of the same experiment without explicit justification. This inconsistency in the choice of relational reference frame constitutes the conceptual cause of the conclusion traditionally expressed as the wave–particle duality. I conclude this is the relational resolution to the mysterious ”wave– particle” duality of matter and radiation. The Wave-Particle Duality has always been framed as the intrinsic mystery of quantum physics. I revisit two foundational experiments–the Davisson–Germer electron scattering experiment (1927) and the Merli–Missiroli–Pozzi (MMP) biprism interference experiment (1976). I provide compelling evidence for a unified physically grounded relational resolution for that perplexing mystery. By analyzing the conditions under which interference patterns emerge, it is argued that wave-particle duality is not intrinsic to individual particles but arises from coherent ensembles of monoenergetic, indistinguishable quantum entities. The wave nature is precived by a rest-observer co-moving with the entity under observation. The particle nature is the relative view of a non co-moving observer with non-zero relative velocity. This interpretation challenges conventional mechanism and quantum narratives.

DOI
10.5281/zenodo.18465382

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Any physical experiment must be described relationally consistent: observations are always made from a reference frame that is either co-moving with the system under study (zero relative velocity) or moving with respect to it (non-zero relative velocity). This applies equally whether the observer is associated with the entity under observation (e.g. an electron beam) or with the apparatus (e.g. a detector).a These are the only possible relational viewpoints, and consistency requires that one such viewpoint be maintained from the initial to the final stage of the experiment. The observer must either remain at rest relative to the apparatus or remain at rest relative to the particles, but cannot switch relational roles midway. Failure to maintain this consistency introduces interpretational difficulties that are often taken to reflect the “dual” nature of matter and radiation. In the initial stage of the double-slit experiment, the observer is implicitly treated as co-moving with the incoming electron beam, effectively assigning zero relative velocity between observer and electrons. However, in the final stage at the detection screen, the same observer is implicitly assumed to have a zero relative velocity with respect to the detector. The implicit assumption that the observer of the experiment can simultaneously be co-moving with the detector, and co-moving with the electrons, is the inconsistency. The relational viewpoint is changed between the initial and final parts of the same experiment without explicit justification. This inconsistency in the choice of relational reference frame constitutes the conceptual cause of the conclusion traditionally expressed as the wave–particle duality. I conclude this is the relational resolution to the mysterious ”wave– particle” duality of matter and radiation. The Wave-Particle Duality has always been framed as the intrinsic mystery of quantum physics. I revisit two foundational experiments–the Davisson–Germer electron scattering experiment (1927) and the Merli–Missiroli–Pozzi (MMP) biprism interference experiment (1976). I provide compelling evidence for a unified physically grounded relational resolution for that perplexing mystery. By analyzing the conditions under which interference patterns emerge, it is argued that wave-particle duality is not intrinsic to individual particles but arises from coherent ensembles of monoenergetic, indistinguishable quantum entities. The wave nature is precived by a rest-observer co-moving with the entity under observation. The particle nature is the relative view of a non co-moving observer with non-zero relative velocity. This interpretation challenges conventional mechanism and quantum narratives.
The duality of matter and radiation is traditionally framed as an intrinsic paradox of quantum systems. In part I, we propose it can be reinterpreted as a relational observer dependant-relative phe- nomenon. This relational resolution of wave–particle duality aligns with foundational experiments of quantum theory. The wave/particle behavior emerges from observer’s relative velocity/position with respect to the quantum entity under observation. The wave nature is precived by a rest- observer co-moving with the entity under observation. The particle nature is the relative view of a non co-moving observer with non-zero relative velocity. Part-II Provides compelling evidence supporting the part-I claim. We revisit two foundational experiments–the Davisson–Germer electron scattering experiment (1927) and the Merli–Missiroli– Pozzi (MMP) biprism interference experiment (1976). By re-examining the conditions under which interference patterns emerge, it is argued that wave-particle duality behavior is not intrinsic to individual particles but arises from coherent ensembles of monoenergetic, indistinguishable quantum entities. This interpretation challenges conventional quantum narratives and offers a physically grounded and testable alternative to wave–particle duality. Part III Discusses Measurement, Superposition, and Apparatus Coupling. We argue that the uneasy nature of the epistemological conclusions of quantum mechanics may be rectified under relational resolution. We conclude that any quantum relational interaction can be interpreted as a superposition of ”initial” states in ”space” and superposition of ”final” states in ”time”, and together they form a superposition in ”spacetime”.
This review paper examines foundational quantum experiments—such as the double-slit experiment, quantum erasers, weak measurements, and decoherence studies—through the lens of relational temporality. Rather than interpreting wave–particle duality as evidence for two competing ontological states, the paper proposes a conceptual shift: experimental results are better understood as distinguishing between relational structures extended across time and localized events that emerge through temporal fixation during measurement. By treating time as a relational process and measurement as a temporally constitutive interaction, several well-known paradoxes in quantum foundations can be reinterpreted without modifying the mathematical formalism of quantum mechanics. The review integrates insights from quantum theory, dynamical systems, and relational models of time to propose a coherent framework in which interference phenomena reflect temporally distributed relational structures, while particle-like detections correspond to stabilized events. This perspective suggests that many conceptual difficulties in quantum mechanics arise not from the theory itself but from classical assumptions about objects, intrinsic properties, and time as a passive background.
The wave-particle duality mystery, present in the language of quantum physics since its historical origins 100 years ago, has no real correspondence with the actual behaviour of nature when it is observed. The dilemma of the so-called “single particle interference” experiments is not between particles versus waves: the interference in quantum physics is between probability amplitudes for different untagged alternatives in a definite transition between states. This article shows that the same conceptual basis is involved in a plethora of “two-state systems” as a consequence of the linear superposition principle, no matter whether the observables refer to either spatial or internal properties. Several examples, from the Young double-slit interference experiments to neutrino flavour oscillation experiments, are discussed in a common interpretation language.
This project presents a conceptual reinterpretation of wave–particle phenomena in quantum experiments by introducing a relational-temporal perspective on measurement and event formation. Rather than treating wave-like and particle-like behavior as competing ontological properties of quantum entities, the framework distinguishes between extended relational amplitude structures and localized measurement events. Interference phenomena are interpreted as manifestations of relational structures distributed across spacetime, while particle detections are understood as temporally stabilized events emerging through measurement interactions. By reviewing key experimental paradigms—including double-slit interference, which-path experiments, quantum erasers, weak measurements, and decoherence—the study demonstrates that many apparent paradoxes of quantum mechanics arise from classical assumptions about intrinsic properties and time as an external background parameter. Without modifying the formalism of quantum theory, the relational-temporal interpretation offers a physically conservative framework that reframes wave–particle duality as a distinction between structure and event rather than a dual ontology of physical objects.
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.
This paper presents a URPD-based geometric reconstruction of the double-slit interference experiment. In this formulation, the electron does not behave as a wave or a particle; instead, the interference pattern emerges from geodesic overlap relations within the relational frame manifold CPN−1\mathbb{CP}^{N-1}CPN−1. The relative phase between the two paths arises from the Kähler geometry of the Fubini–Study metric, and the disappearance of interference under which-path measurement follows from displacement-constrained frame collapse. No wave–particle duality, hidden variables, or ad hoc collapse mechanisms are required. The double-slit paradox thus becomes a direct consequence of informational-geometric structure, fully consistent with the Born rule and relativistic causality.