Quartic Contact in an Even Polynomial Heat Flow: Parts I–V with Companion Archive

Five research notes on the heat evolution of an even real-rooted polynomial family, with a companion archive of code, logs, independent verification reports and, from version 4, a Lean 4 formalisation of the supporting mathematics of Part V (35 kernel-checked theorems; the checker run and the Sturm count are not formalised). Files are restricted at the time of deposit while the author seeks advice on intellectual property; access for verification purposes may be requested from the author. Nothing in this deposit bears on the Riemann hypothesis, the Riemann ξ function or the de Bruijn–Newman constant.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-19
DOI
https://doi.org/10.5281/zenodo.22802646
Primary Topic
Quantum chaos and dynamical systems
Type
preprint
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preprint

Quartic Contact in an Even Polynomial Heat Flow: Parts I–V with Companion Archive

Marcos José Valenzuela Mena
Zenodo (CERN European Organization for Nuclear Research)
Quantum chaos and dynamical systems
preprint

Quartic Contact in an Even Polynomial Heat Flow: Parts I–V with Companion Archive

Marcos José Valenzuela Mena
preprint en

Abstract

Five research notes on the heat evolution of an even real-rooted polynomial family, with a companion archive of code, logs, independent verification reports and, from version 4, a Lean 4 formalisation of the supporting mathematics of Part V (35 kernel-checked theorems; the checker run and the Sturm count are not formalised). Files are restricted at the time of deposit while the author seeks advice on intellectual property; access for verification purposes may be requested from the author. Nothing in this deposit bears on the Riemann hypothesis, the Riemann ξ function or the de Bruijn–Newman constant.

Zenodo (CERN European Organization for Nuclear Research)
Quantum chaos and dynamical systems
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Quartic Contact in an Even Polynomial Heat Flow: Parts I–V with Companion Archive — Marcos José Valenzuela Mena · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS