Entering the World Near Infinity: Toward Solving the Problem of Comparing Infinite Series Using the Reference Orbital System

This study presents the Reference Orbital System as a proposed method for comparing numerical sequences while approaching infinity. The method introduces fixed reference positions and equivalent comparison stages to examine the natural, even, and odd number sequences. Through numerical examples, diagrams, and comparisons involving addition, subtraction, division, and multiplication, the study explores how preserving reference positions changes the arrangement and interpretation of sequence comparisons. The research distinguishes approaching infinity from treating infinity as a finite numerical value. This work builds upon the Reference Orbital System originally published by Dler Amin Mohammed on October 17, 2026. Original research DOI: https://doi.org/10.5281/zenodo.23437511 The proposed framework is presented for further mathematical examination and discussion.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-08
DOI
https://doi.org/10.5281/zenodo.24059487
Primary Topic
Mathematical and Theoretical Analysis
Type
preprint
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preprint

Entering the World Near Infinity: Toward Solving the Problem of Comparing Infinite Series Using the Reference Orbital System

Dler Amin Mohammed
6 links
Zenodo (CERN European Organization for Nuclear Research)
Mathematical and Theoretical Analysis
preprint

Entering the World Near Infinity: Toward Solving the Problem of Comparing Infinite Series Using the Reference Orbital System

Dler Amin Mohammed
preprint en

Abstract

This study presents the Reference Orbital System as a proposed method for comparing numerical sequences while approaching infinity. The method introduces fixed reference positions and equivalent comparison stages to examine the natural, even, and odd number sequences. Through numerical examples, diagrams, and comparisons involving addition, subtraction, division, and multiplication, the study explores how preserving reference positions changes the arrangement and interpretation of sequence comparisons. The research distinguishes approaching infinity from treating infinity as a finite numerical value. This work builds upon the Reference Orbital System originally published by Dler Amin Mohammed on October 17, 2026. Original research DOI: https://doi.org/10.5281/zenodo.23437511 The proposed framework is presented for further mathematical examination and discussion.

Zenodo (CERN European Organization for Nuclear Research)
Mathematical and Theoretical Analysis
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