GRSC Reconstruction Paper: The Quantized Real Domain and a Finitely Readable Background

This standalone reconstruction paper follows the completed arithmetic-closure judgement summarized in GRSC Papers16-62. It introduces the quantized real domain as a finitely readable background carrying a minimal reading unit, finite windows, error and boundary ledgers, obstruction ledgers, certificate levels, and an algebraic-compatibility interface. The paper develops the significance of this background for modern arithmetic and gives renewed interface meanings to Gaussian integers, quadratic forms, residue and reciprocity, and periodicity. The archive contains synchronized Markdown, TeX, and PDF editions together with a file manifest and the documentation license.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-07-17
DOI
https://doi.org/10.5281/zenodo.21405069
Primary Topic
Mathematics, Computing, and Information Processing
Type
article
Field-Weighted Citation Impact
0.00
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article

GRSC Reconstruction Paper: The Quantized Real Domain and a Finitely Readable Background

Wangyue
Zenodo (CERN European Organization for Nuclear Research)
Mathematics, Computing, and Information Processing
article

GRSC Reconstruction Paper: The Quantized Real Domain and a Finitely Readable Background

Wangyue
article en

Abstract

This standalone reconstruction paper follows the completed arithmetic-closure judgement summarized in GRSC Papers16-62. It introduces the quantized real domain as a finitely readable background carrying a minimal reading unit, finite windows, error and boundary ledgers, obstruction ledgers, certificate levels, and an algebraic-compatibility interface. The paper develops the significance of this background for modern arithmetic and gives renewed interface meanings to Gaussian integers, quadratic forms, residue and reciprocity, and periodicity. The archive contains synchronized Markdown, TeX, and PDF editions together with a file manifest and the documentation license.

Zenodo (CERN European Organization for Nuclear Research)
Quality Education
Openalex Percentile: Top 6%
Mathematics, Computing, and Information Processing
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