02_Essay_II: Why I Kept Retreating to Before Mathematics Began

This is the second essay in the GHT–RH research trilogy. It begins with a real academic exchange and the experience of having an RH argument reviewed, then follows backward a question concerning the critical half-scale 1/2: from the zeros to the completed function and zeta, from zeta to Prime and multiplication, and from multiplication to re-entry, traces, and the generation of objects, until it reaches a point at which mathematical objects have not yet formed. The essay thereby explains the motivation behind GHT and "two-way mathematics": mathematics should not only be able to prove forward, but should also be able to audit backward when, and through what acts of partitioning, an object, a proof obligation, or even a mathematical problem itself came into being. Document informationAuthor: Yifei Ren (任毅飞), Independent Researcher, ORCID 0009-0009-1373-9609Type: Research Essay | GHT–RH Trilogy | Position: II | RetrospectionVersion: 1.0 | Date: 2026-10-30Files: 02_Essay_II_Retreating_Before_Mathematics_Began_EN.pdf (English version); 02_Essay_II_我为什么一路退到数学出现以前_ZH.pdf(中文版)Related works: 10.5281/zenodo.23804299 · 10.5281/zenodo.23804522Licence: CC BY 4.0

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-30
DOI
https://doi.org/10.5281/zenodo.23804494
Citations
3
Primary Topic
Analytic Number Theory Research
Type
preprint
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02_Essay_II: Why I Kept Retreating to Before Mathematics Began

Yifei Ren
3 citations
Zenodo (CERN European Organization for Nuclear Research)
Analytic Number Theory Research
preprint

02_Essay_II: Why I Kept Retreating to Before Mathematics Began

Yifei Ren
preprint en
3 citations

Abstract

This is the second essay in the GHT–RH research trilogy. It begins with a real academic exchange and the experience of having an RH argument reviewed, then follows backward a question concerning the critical half-scale 1/2: from the zeros to the completed function and zeta, from zeta to Prime and multiplication, and from multiplication to re-entry, traces, and the generation of objects, until it reaches a point at which mathematical objects have not yet formed. The essay thereby explains the motivation behind GHT and "two-way mathematics": mathematics should not only be able to prove forward, but should also be able to audit backward when, and through what acts of partitioning, an object, a proof obligation, or even a mathematical problem itself came into being. Document informationAuthor: Yifei Ren (任毅飞), Independent Researcher, ORCID 0009-0009-1373-9609Type: Research Essay | GHT–RH Trilogy | Position: II | RetrospectionVersion: 1.0 | Date: 2026-10-30Files: 02_Essay_II_Retreating_Before_Mathematics_Began_EN.pdf (English version); 02_Essay_II_我为什么一路退到数学出现以前_ZH.pdf(中文版)Related works: 10.5281/zenodo.23804299 · 10.5281/zenodo.23804522Licence: CC BY 4.0

Zenodo (CERN European Organization for Nuclear Research)
Analytic Number Theory Research
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