RICIS-III: Bridge Between Classical Mathematics and Structural Algebra

This paper presents a bridge between classical mathematics and RICIS-III — asystem that replaces limits and infinite series with structural invariants. It is shownthat the number π and the definite integral can be computed in O(1) time without lossof precision, via the difference between the external area and the product of structuralgaps: 0C × ∞M = C · M .

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-07-16
DOI
https://doi.org/10.5281/zenodo.21396308
Primary Topic
Algebraic and Geometric Analysis
Type
article
Field-Weighted Citation Impact
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article

RICIS-III: Bridge Between Classical Mathematics and Structural Algebra

Дмитрий Алейников
Zenodo (CERN European Organization for Nuclear Research)
Algebraic and Geometric Analysis
article

RICIS-III: Bridge Between Classical Mathematics and Structural Algebra

Дмитрий Алейников
article en

Abstract

This paper presents a bridge between classical mathematics and RICIS-III — asystem that replaces limits and infinite series with structural invariants. It is shownthat the number π and the definite integral can be computed in O(1) time without lossof precision, via the difference between the external area and the product of structuralgaps: 0C × ∞M = C · M .

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 5%
Algebraic and Geometric Analysis
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