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Constructive Experiment on Elastic Reflection of Two Fermionic Local Waves in a Closed Phase System Without Assuming Background Space

Noriaki Kihara

Published Jul 10, 2026• 0 citations
Publisher

Abstract

This record contains the main Japanese and English papers, supporting axiom/specification/result documents, TeX/PDF outputs, and reproducibility bundle for a numerical constructive experiment on finite-resolution elastic reflection of two identifiable fermionic local waves in a closed phase system without assuming an external background space.

DOI
10.5281/zenodo.21291018

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This record contains the main Japanese and English papers, supporting axiom/specification/result documents, TeX/PDF outputs, and reproducibility bundle for a numerical constructive experiment on finite-resolution elastic reflection of two identifiable fermionic local waves in a closed phase system without assuming an external background space.
This release publishes a numerical constructive experiment on whether mass-like, momentum-like, and energy-like conserved readouts can be constructed from multigauge interference in an ABC closed phase system without assuming background coordinates. The paper reconstructs p_read, E_read, and R_read from multiple gauges, diagnoses the failure of simple q -> -q reversal under asymmetric R, and constructs an R-weighted generalized collision map conserving R*p and R*p^2. The release includes Japanese and English manuscripts, TeX/PDF builds, executed numerical scripts, result JSON/CSV files, figures, verification notes, and a reproducibility bundle.
This record contains the Japanese and English v1 releases of the paper“κ-Theoretic Quantum Optimization as an Upper-Governance Principle,” togetherwith curated supplementary materials for reproduction. The paper positions κ-theory not as a stand-alone optimization trick but as anupper-governance principle that regulates when and how existing quantum-optimization levers should be activated. The empirical study is organized intothree directions: (A) whether the same performance can be reached with lowercost-to-target, (B) whether higher performance can be obtained under the sameoperational burden, and (C) whether one can construct a governed stack thatsurpasses existing stand-alone baselines in both performance and efficiency. Within the benchmark suite studied in the paper, the κ-governed optimizer showsa substantial advantage in Directions A and B, and the governed stack alsooutperforms stand-alone vendor-like baselines in Direction C for the includedsemi-real and hold-out cases. The paper further studies exploratory real-timeswitching among A/B/C modes and separates replay-based main evidence fromsynthetic operating-map supplementary evidence through an explicit provenancemap. This Zenodo record includes:- Japanese paper PDF/TeX (v1)- English paper PDF/TeX (v1)- Replay reproduction package (curated v2)- Synthetic operating-map package (curated v2)- Combined convenience bundle of the supplementary materials Supplementary bundle note:The “v2” suffix in the supplementary ZIP files denotes the curation version ofthe supplementary bundles and is independent of the paper version, which remainsv1. Related κ-theory background volumes:- Volume I of κ-Theory: A Local Comparison Framework for Gateway Anomaly and Higher-Family Law. DOI: 10.5281/zenodo.19254863- Volume II of κ-Theory: Structural Readings and Application-Side Interpretations Through Reduced Local-Form Matching. DOI: 10.5281/zenodo.19255089
This thought experiment begins with a naive question about classifying wave-packet collapse and decoherence as separate phenomena. Using experience with laser holography as a guide, it asks whether coherence is not an absolute attribute of a single wave but depends on the partner wave, the harmonic structures of both, their phases and the readout conditions. A localized wave built from aligned high harmonics forms a sharp peak, but its spatiotemporal alignment with another localized wave is extremely restrictive. When a localized wave scatters on a monochromatic background wave, its high harmonics can be redistributed to the background. If a particle acquires a mass-like response through interaction with the background, why does it not keep losing harmonics and dissipate? Re-examining the author's earlier closed two-wave scattering experiment shows that localization is not lost in one direction but is redistributed back and forth between the two waves. The original program was re-run as a byte-identical copy (all data and figures identical to the original output): the two channels are orthogonal, so the per-collision normalization is a no-op and the update is the pure exchange operator U_R; no dissipation occurs, each wave keeps unit power while its peak height changes by a factor of about 30, and the effective harmonic orders satisfy N_A = 1 + 31 sin^2(k omega/2) with N_A + N_B = 33 exactly. If such circulation closes stably, finite periodicity U^n = I may be observed as a result, not imposed as a rule. The paper asks whether periodic closure, phase locking, quasi-stationarity and lifetimes appear as results, and whether the temporal and spatial readouts of the circulation correspond to internal clock delay and Lorentz contraction. The 'background' is treated not as a container with places, times and a number of waves, but as the anonymous part of the total state not yet distinguished by interaction readouts; the paper ends by asking whether particle species are names for conserved quantities of the interaction. This is a thought experiment that formulates verification tasks arising from the reinterpretation of existing numerical experiments; it does not complete derivations of mass, the Lorentz metric, quantum energy levels or real particle lifetimes. Main text in Japanese with an English translation; the verification package of the re-run is included as a zip archive.