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May 28, 20260 citationsOpen Access

Thought Experiments through Chapter 5 of Foundations of Quantum Theory: From the Wall of Identification in Measurement to the Rectangular Phase-Energy Window

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NKNoriaki Kihara

Key Points

  • This paper aims to unify various quantum measurement concepts through thought experiments. It extends previous readings by integrating additional theoretical frameworks and experiments.
  • Observational analysis of chapters 4-5 from Shimizu Akira's textbook.
  • Integration of seven thought experiments that explore key quantum concepts.
  • Conceptual rereading maintaining existing mathematical predictions in quantum theory.
  • Introduced two new thought experiments (VI and VII) that enhance understanding of phase space and wave forms.
  • Established connections between measurement precision and quantum theory through conceptual frameworks.
  • Discussed implications for classical to quantum correlations without altering the Born rule.

Abstract

An observational paper extending the previous chapter-3 reading of Shimizu Akira textbook New Edition: Foundations of Quantum Theory (Saiensu-sha, 2003) to chapters 4-5. Seven thought experiments unify measurement precision, uncertainty relations, wave packets, quantum correlations, the algebra of observables, the ontology of physical quantities, and the finite-width structure of particles. Carries the five thought experiments of the previous paper (v3. 0. 1) and adds two new ones: (VI) physical quantities as quantities over a complex phase space and (VII) particles as rectangular phase-energy windows whose observed wave forms are Fourier low-order partial sums. The central reading positions phase-space invariants as symplectic capacities represented by de Gosson quantum blobs (Foundations of Physics 2013). The paper does not modify the mathematical predictions of standard quantum theory; it offers a conceptual rereading consistent with the calculational formalism within the scope of chapters 1-5. Born rule is preserved as the inner-product projection step p (a) = ||². Related work includes de Broglie double-solution, Madelung hydrodynamics, Bohm pilot wave, Skyrme/MIT bag/Q-ball solitons, Slepian-Pollak prolate spheroidal wave functions, Hardy uncertainty theorem, coherent states (Schrodinger/Glauber), and de Gosson-Luef symplectic capacities.

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Cite This Study

Noriaki Kihara (2026) studied this question.

synapsesocial.com/papers/6a17dd4e3fad632b0f9d9fb0https://doi.org/10.5281/zenodo.20398527
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