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Complementarity Without Duality

Amos Maley

Published Feb 7, 2026• 0 citations
Publisher

Abstract

This paper shows that complementarity does not require duality, opposition, or mutually exclusive ontologies. When admissibility and constraint envelopes are enforced, complementary descriptions are revealed as internal, non-conflicting re-descriptions within a single admissible representational regime, rather than as competing or irreducible alternatives. The analysis demonstrates that traditional dualities—wave/particle, classical/quantum, observer/system—arise from misclassifying envelope-internal variation as cross-envelope incompatibility. Once envelope non-contact is respected, these pairs no longer stand in tension. They are complementary only in the sense that they license different internal descriptions under different fixation choices, without implying ontic division. The result removes the need for dualistic interpretation while preserving the explanatory role of complementarity. No synthesis, unification program, or interpretive framework is proposed. The paper records a structural clarification: complementarity is admissible without duality, and apparent oppositions dissolve once admissibility boundaries are made explicit.

DOI
10.5281/zenodo.18518527

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American Journal of Physics•Jan 1, 1998•18 citations
This paper shows that complementarity does not require duality, opposition, or mutually exclusive ontologies. When admissibility and constraint envelopes are enforced, complementary descriptions are revealed as internal, non-conflicting re-descriptions within a single admissible representational regime, rather than as competing or irreducible alternatives. The analysis demonstrates that traditional dualities—wave/particle, classical/quantum, observer/system—arise from misclassifying envelope-internal variation as cross-envelope incompatibility. Once envelope non-contact is respected, these pairs no longer stand in tension. They are complementary only in the sense that they license different internal descriptions under different fixation choices, without implying ontic division. The result removes the need for dualistic interpretation while preserving the explanatory role of complementarity. No synthesis, unification program, or interpretive framework is proposed. The paper records a structural clarification: complementarity is admissible without duality, and apparent oppositions dissolve once admissibility boundaries are made explicit.
This paper shows that entanglement and collapse do not require ontic processes, dynamical events, or nonlocal mechanisms. When constraint envelopes and admissibility are enforced, both are shown to be internal re-descriptions within a single admissible representational regime, rather than physical interactions or causal transitions. The analysis demonstrates that treating entanglement as a real linkage between systems, or collapse as a temporal process, relies on illicit scope transport across envelope boundaries. Once envelope non-contact is respected, these notions appear only as alternative internal descriptions that preserve standing under different representational choices. The result clarifies why quantum nonlocality paradoxes arise from misclassifying internal re-descriptions as cross-envelope effects. No mechanisms, dynamics, or measurement prescriptions are introduced. The paper records entanglement and collapse as admissible bookkeeping alternatives within an envelope, not as fundamental physical phenomena.
In the late 1920s, Niels Bohr’s "Principle of Complementarity" became a cornerstone of the Copenhagen interpretation, asserting that the wave and particle aspects of micro-entities are mutually exclusive yet complementary properties manifested under distinct experimental arrangements. However, this classical-bound formulation inadvertently entangled quantum physics in a century-long ontological debate over what a microscopic system "really is." This paper presents a counterfactual historical and philosophical critique: had Bohr bypassed the binary framing of wave-particle duality and instead posited the Law of Coexisting Mutually Exclusive Descriptions—which dictates that a single physical system fundamentally possesses multiple, irreducible, and mutually exclusive descriptions simultaneously—the foundational paradigm of quantum mechanics would have undergone a decisive transformation. Under this proposed paradigm, the focus of quantum physics shifts from seeking a singular underlying "substance" to mapping how non-commutative, coexisting descriptions collectively construct physical reality. We demonstrate how this law redefines the quantum measurement problem, dissolves the misconception of "uncertainty" as an inherent ontological vagueness, and provides a unified conceptual framework for quantum entanglement and emergent spacetime in modern field theory. Ultimately, this work establishes a non-reductionist "Multitudinous Description Realism" that offers a clearer conceptual tool for contemporary quantum foundations and quantum information science.
This work presents a constraint-based meta-framework for understanding persistent foundational dualities across physics, biology, and consciousness studies. Rather than proposing new physical mechanisms or historical cosmologies, it formalizes a post-reductionist perspective in which no globally sufficient singular description of reality is admissible. The framework replaces substance with persistence as the primary ontological primitive and treats irreducible dualities (e.g., wave–particle, observer–observed, gene–environment) as structural necessities rather than epistemic gaps. Scientific progress is reframed as translation between complementary descriptions instead of unification by collapse. Consciousness is formally introduced as a coherence-seeking interface process that operates across irreducible dualities, explaining its persistent tension with fragmentation and meaning without invoking metaphysical claims, panpsychism, or interventionist implications. From the axioms follow explicit structural limits, including the impossibility of a final theory, a total observer, permanent non-dual consciousness, or total control of complex systems. The framework is compatible with existing physical and biological theories and is intended as a stabilizing methodological guide for post-reductionist science. Ethical containment is built in by design: no inference from this work licenses the manipulation, collapse, or redesign of foundational dualities.
This paper shows that apparent nonlocal causation arises from a category error: treating relations internal to a constraint envelope as if they were interactions between distinct envelopes. When admissibility and envelope non-contact are enforced, no coherent notion of nonlocal causal influence remains. The analysis demonstrates that correlations, instantaneous updates, and coordination at a distance are admissible only as internal re-descriptions within a single envelope. Interpreting them as causal connections between separated systems requires illicit scope transport and implicit global anchoring. Once these moves are excluded, the confusion dissolves without introducing hidden variables or additional postulates. The result removes the need for nonlocal causation as an explanatory primitive. No alternative mechanisms are proposed. The paper records the structural reason nonlocal causation cannot appear in any admissible representational framework governed by constraint envelopes.
Recent high-precision experimental confirmations of quantum complementarity have revitalized foundational debates about measurement, description, and realism. This article argues that complementarity is most productively interpreted as an epistemic principle--constraining what can be simultaneously accessed and represented--rather than as an ontological claim about quantum reality. Reexamining the Einstein-Bohr debate through this lens reveals a persistent tension between descriptive completeness and contextual meaning, a tension experiments clarify but do not dissolve. Building on this analysis, we introduce cognitive complementarity as a structural principle governing reasoning under non-classical uncertainty, where mutually constraining representations cannot be jointly optimized. Within this framework, we propose quantum intuition as a testable cognitive capacity: the ability to sustain representational plurality, regulate commitment timing, and resolve perspective-incompatibilities in a context-sensitive manner. Formulated as a naturalistic construct grounded in shared informational constraints, quantum intuition offers a principled bridge between quantum measurement theory and cognition. This work reframes the historical debate, extends epistemic lessons from quantum foundations into cognitive science, and outlines empirical pathways for studying decision-making in contexts of irreducible uncertainty.
To resolve the challenges (paradoxes) attending the genesis of quantum theory, Niels Bohr in 1927 proposed a generalization of the conceptual framework of classical physics, termed complementarity, which posited pairs of classical concepts that could be manifested only in mutually exclusive experimental arrangements with both needed to embrace the full range of physical experience. In this context particle–wave complementarity has encountered two major obstacles; (1) No formulation of it has commanded a general consensus; and (2) empirical evidence abounds that contradicts the claim of mutual exclusivity of particle and wave properties of quantum objects in a single experiment. These problems are rooted in the unrestricted scope of this claim. It is shown that a restricted version of particle–wave complementarity, here called “which value–interference” complementarity, is consistent with observations, is naturally contained in the mathematical formalism of quantum theory and, in fact, holds in any representation of quantum theory defined by the eigenvectors of a complete set of commuting observables, such as the configuration space position (kinematic) variables or the complementary linear momentum (dynamic) variables. Thus, the which value–interference form of particle–wave complementarity exists within kinematic–dynamic complementarity, a “layered” complementarity, so to speak. It is hoped that a consistent and valid exposition of particle–wave complementarity will be helpful to those who find the framework of complementarity useful and appropriate for some purpose.