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May 24, 20260 citationsOpen Access

The Measurement Problem as N Incompleteness: A Structural Reformulation within the G→X→Q→N Framework

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ASAndrea Succi

Key Points

  • The research aims to reformulate the measurement problem in quantum mechanics as an incompleteness issue tied to a structural operator.
  • Presented three theorems relating to the Möbius bundle topology and time requirements for N-completion.
  • Verified the linear scaling of predicted versus observed Zeno threshold frequency using experimental datasets.
  • Positioned the findings relative to existing theories in quantum mechanics.
  • N-completion requires a minimum time τ_N; derived τ_N as π/ω.
  • Zeno threshold frequency ν_c verified against experimental datasets with a mean ratio of 1.000 ± 0.000.
  • Provided two additional predictions based on the theoretical framework.

Abstract

The measurement problem — why quantum systems collapse to definite outcomes rather than evolving into superpositions — is reformulated as the incompleteness of a structural operator N governing the return from the collapsed state Q to the generative state G. We prove three theorems: (T1) the Möbius bundle topology generated by X² = −IdV implies that N-completion requires a minimum time τN; (T2) from the universal relation R2, τN = π/ω where ω is the natural frequency of the system; (T3) the Zeno threshold frequency νc = ω/π = 1/τN follows as a parameter-free corollary. The linear scaling νc = ω/π is verified against three independent experimental datasets (Itano et al. 1990; Streed et al. 2006 ×2) with mean ratio νc (observed) /νc (predicted) = 1. 000 ± 0. 000 and linear regression slope 0. 3183 = 1/π. Two additional verifiable predictions are derived. The framework is positioned relative to decoherence theory (Zurek 2003), relational quantum mechanics (Rovelli 1996), and the rigorous Zeno dynamics formulation (Facchi and Pascazio 2008). MSC2020: 81P15, 55R10, 81Q80, 46N50

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Cite This Study

Andrea Succi (2026) studied this question.

synapsesocial.com/papers/6a1296b248a0ea1665673ab3https://doi.org/10.5281/zenodo.20349120
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