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Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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The Péclet Structure of Unsolvability: Void Framework Analysis of the Seven Millennium Prize Problems

Authors: Eckert, Anthony;

The Péclet Structure of Unsolvability: Void Framework Analysis of the Seven Millennium Prize Problems

Abstract

Applies the Void Framework's three-condition model to all seven Clay Mathematics Institute Millennium Prize Problems. Demonstrates that the six open problems cluster between 7 and 11 on the 12-point void index (mean 8.8, Phase III-IV), while the resolved Poincare Conjecture drops to 2/12 post-Perelman and Linear Programming anchors the control case at 1/12. The CMI selection criteria are shown to be functionally equivalent to selecting for maximum opacity, responsiveness, and coupling simultaneously. Mean Pe = 3.8 (range 3.1-4.5). Riemann Hypothesis scores 11/12, highest of all analyzed problems.

Part of the Void Framework research project (MoreRight DAO).

Keywords

Poincaré Conjecture, epistemic void, Birch Swinnerton-Dyer, unsolvability, Navier-Stokes, opacity, Hodge Conjecture, Millennium Prize Problems, Riemann Hypothesis, Pe structure, Peclet number, void framework, mathematical voids, Ricci flow, Yang-Mills, Péclet number, Hodge conjecture, Riemann hypothesis, P vs NP

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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