Superposition Does Not Imply Duplication: An Admissibility Analysis of Quantum Scaling Claims

A J Paton

Published Mar 25, 2026• 0 citations

Abstract

Recent interpretations of quantum mechanics suggest that particles existing in superposition occupy multiple locations simultaneously in a manner that could scale to macroscopic or cosmological effects. This paper applies the Paton Admissibility Framework to clarify the distinction between unresolved quantum states and resolved observational instances. It is shown that superposition represents a pre-datum condition and does not constitute duplication within resolved space. Claims that such behaviour implies multiverse interaction or large-scale instability are identified as misclassifications arising from failure to apply admissibility constraints. The result is a structural clarification: superposition does not imply duplication, and unresolved states do not support ontological escalation.

DOI: 10.5281/zenodo.19212524

Related papers

Quantum Measurement as Admissibility Collapse: A Structural Interpretation within the Paton System

A J Paton

This paper presents a structural interpretation of quantum measurement within the Paton System framework. Quantum systems are described as occupying sets of admissible configurations prior to measurement. Measurement is treated as a constraint interaction that reduces the admissible configuration set to a single outcome. Collapse is understood as the reduction of admissible configurations under constraint rather than as an additional physical mechanism. The observed outcome corresponds to the configuration that satisfies the combined constraints at the point of interaction. This framework does not modify quantum mechanics and introduces no new ontology. It provides a pre-theoretical structural lens describing measurement as the resolution of admissibility under constraint.

Mar 23, 20260 citations

Entanglement as Constraint-Linked Admissibility: A Structural Interpretation within the Paton System

A J Paton

This paper presents a structural interpretation of quantum entanglement within the Paton System framework. Entangled systems are described as sharing a constraint structure that governs admissibility jointly rather than independently. Admissibility is therefore evaluated at the level of the composite system rather than its individual components. Measurement outcomes in entangled systems reflect constraint-linked admissibility across the joint system. A measurement applied to one subsystem restricts the admissible configuration of the other through the shared constraint structure, without requiring signal transfer. This work does not modify quantum mechanics and introduces no new ontology. It provides a pre-theoretical structural lens in which entanglement is understood as shared constraint determining admissible configurations. It complements prior work on quantum state admissibility and quantum measurement as admissibility collapse without duplication.

Mar 24, 20260 citations

No Quantum Superposition: A Reductio ad Absurdum from Seven Independent Physical Principles

YOUNG HO GOH

The standard interpretation of quantum mechanics holds that a particle exists in a superposition of multiple states prior to measurement — that it simultaneously occupies more than one location, or simultaneously possesses more than one value of an observable. This paper argues, by reductio ad absurdum, that the physical realisation of superposition — simultaneous multi-location existence — is incompatible with seven independent and well-established physical principles: (1) the observational fact that no infinite physical quantity has ever been measured; (2) conservation of energy; (3) the mass-energy equivalence E = mc²; (4) the Bekenstein entropy bound; (5) the second law of thermodynamics; (6) the Heisenberg uncertainty principle; and (7) causality. The argument proceeds through a foundational identification: information, energy, and mass stand in proportional existential relation, established by the Bekenstein bound (I ∝ M), Landauer's principle (E ∝ I), and mass-energy equivalence (E = mc²). Given this proportionality, the infinite information-processing load required by complete superposition implies infinite energy and infinite mass — quantities that are universally absent from the observational record of physics. Finite N-state superposition is excluded by a complementary argument: maintaining N states simultaneously requires N times the information-processing load of a single undetermined state, violating the principle that nature selects minimum-load configurations. The physical alternative proposed is the undetermined state: during propagation, the matter wave is real and physically present, but matter has not yet appeared at any location. This is not a hidden-variable state — no definite position exists to be hidden — but an ontological absence of localisation prior to the formation of a constructive interference maximum. The present paper does not claim to determine which path matter takes; it claims to demonstrate that simultaneous multi-location existence is physically impossible. The undetermined state is the unique physically consistent alternative. Experimental consequences and the connection to the double-slit experiment are developed in a companion paper.

Apr 22, 20260 citations

On the Descriptive Applicability of Global Quantum Superposition Architectural Considerations in Composite Systems

Danilo Tavella

Recent experimental advances in matter-wave interferometry have demonstrated quantum interference in increasingly large and massive composite objects, including nanoparticles composed of thousands of atoms. These results are often interpreted as evidence that quantum superposition can, in principle, scale arbitrarily with mass and size, with practical limitations arising primarily from environmental decoherence. This technical note argues that mass and size alone are insufficient criteria for assessing the applicability of global quantum superposition descriptions. It introduces a minimal, non-biological architectural distinction between systems that admit an effective global quantum description and systems whose internal organization renders such descriptions operationally ambiguous or illegitimate, even in the absence of significant external decoherence. The analysis does not propose any fundamental limitation on quantum mechanics, nor does it claim that global quantum states cease to exist. Instead, it focuses on the conditions under which global quantum descriptions remain meaningful and useful as effective representations. In architecturally composite systems, internal degrees of freedom may function as endogenous sources of decoherence, limiting the descriptive legitimacy of a single global quantum state. The contribution is diagnostic in nature and aims to clarify common ambiguities in discussions of the quantum–classical transition, the interpretation of large-scale interference experiments, and claims concerning the scalability of quantum superposition. No new physical principles or theoretical modifications are introduced.

Feb 10, 20260 citations

Quantum Time Reversal Does Not Imply Temporal Inversion: An Admissibility Analysis of Time Manipulation Claims

A J Paton

This paper evaluates claims that quantum systems demonstrate reversal of time. Applying the Paton Admissibility Framework, it is shown that such experiments reflect controlled reconfiguration of state trajectories rather than inversion of temporal structure. Time is defined as an ordering of admissible transitions, and no admissible mechanism supports full temporal reversal. The result is a structural clarification: quantum “time reversal” represents admissible reconstruction within constraint, not reversal of time itself.

Mar 25, 20260 citations

Quantum Mechanics as Constraint Geometry: A Structural Interpretation of Superposition, Measurement, and Nonlocality

Denis Bailey

Quantum mechanics is mathematically complete but conceptually burdened by a discrete‑state ontology that the formalism itself does not require. This paper reframes superposition, measurement, and nonlocality as structural features of unresolved and resolved constraint geometry in continuous fields. In this interpretation, a quantum state is not a catalogue of simultaneous possibilities but the orientation of an unresolved constraint region; measurement is the stabilization of that region under new constraints; and entanglement reflects a single unresolved region spanning multiple subsystems. The standard Hilbert‑space formalism remains unchanged—linearity, projection, the Born rule, and tensor structure all arise naturally from the geometry of unresolved continuity. This framework dissolves the paradoxes associated with collapse, wavefunction ontology, and nonlocal influence, yielding a unified, minimal, and physically intuitive account of quantum behavior that preserves the full empirical power of quantum mechanics while eliminating its metaphysical burdens.

Mar 18, 20260 citations